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10 (1) (2021) 24-33
Unnes Science Education Journal
Accredited Sinta 3
https://journal.unnes.ac.id/sju/index.php/usej
Analysis of Student’s Difficulties in Solving Physics Problem: Im-
pulse and Momentum Topics
Tri Adianto1
, Muhammad Aqil Rusli2
DOI: http://dx.doi.org/10.15294/usej.v10i1.41517
1
Department of Physics, Faculty of Mathematics and Science, Universitas Negeri Makassar, Indonesia
2
Department of Science Education, Faculty of Mathematics and Science, Universitas Negeri Makassar, Indone-
sia
Abstract
Physics education essentially intends to cultivate student’s analytical and reason-
ing capabilities. However, this objective is hard to achieve because there are many
students who facing difficulties in solving physics problems. This research was con-
ducted to identify the types of student’s difficulties in solving momentum and im-
pulse problems, along with the factors causing it. This research was conducted using
a descriptive qualitative approach to 66 students of Senior High School 2 Makassar
who had studied momentum and impulse topics. The data collection process was
carried out using test and interviews. Based on the results, it can be identified that
there are two types of student’s difficulties in solving momentum and impulse prob-
lems. The first type was physical difficulties which consisted of student’s difficulty
in understanding the questions (26%) and student’s difficulty in determining the
useable equations (25%). Then, the second type was mathematical difficulties which
consisted of student’s difficulty in substituting the data to the equation (63%) and
student’s difficulty in performing mathematical operations (76%). Based on inter-
views and analysis, it can be concluded that these difficulties was commonly faced
by students while solving physics problems, including in momentum and impulse
topic. Futhermore, the difiiculties were caused by several factors, namely: 1) the
lack of student’s understanding about physics concepts, 2) the weakness of student’s
mathematical skills, 3) the lack of physics learning process which is not honing stu-
dent’s problem-solving skills and 4) the lack of student’s motivation on developing
their problems solving skills in physics subjects. Thus, researchers recommend to all
physics teachers in Indonesia to immediately develop or implement learning strate-
gies or methods which are considered capable of overcome all student’s difficulties
that have been found.
How to Cite
Adianto, T., & Rusli, M. A. (2021). Analysis of Student’s Difficulties in Solving
Physics Problem: Impulse and Momentum Topics. Unnes Science Education Journal,
10(1), 24-33.
Article Info
Submitted 8 October 2020
Revised 28 December 2020
Accepted 17 February 2021
Keywords
Impulse,
Momentum,
Physics Education,
Physics Problem Solving,
Student’s Difficulties

Correspondence Author:
E-mail: tri.adianto3595@gmail.com
p-ISSN 2252-6617
e-ISSN 2502-6232
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
25
ternational Student Assessment (PISA) report.
On the report, Indonesia is rank 70th
of 79 on
science literacy subject. It means that the scien-
tific literacy of Indonesian students is relatively
weak compared by other participated countries.
It is supported by the study of Ikshan et al. (2019)
which revealed that the average score of Indone-
sian students for physics subjects in the national
exam is relatively lower than other tested subjects
each year. It happens because students often fa-
ced several difficulties in solving physics prob-
lems, including in momentum and impulse topic.
One of the difficulties faced by students is
the difficulty in solving collision problems. Ad-
ditionally, the researcher believes that there are
other difficulties faced by students in the momen-
tum and impulse topic. It can be seen from the
exam score which are still low. However, these
difficulties are often ignored by teachers, so that
there are still many students who repeat a similar
mistake when solving momentum and impulse
problems. It happens because the lack of physics
teacher awareness in identifying those difficulties
(Rahmat, 2017).
Most physics teachers assess students’
problem solving abilities from the exam results,
regardless of the process. If the student ans-
wers wrongly, then the student is considered not
mastering the physics concept which have been
learned, without considering the reasons why
students cannot solve the questioned problem
(Susiana, 2017). On the other hand, Dwi and
Woro’s (2015) study revealed that the evaluation
of learning process carried out by physics teach-
ers, when giving an assessment, is based on the
answer key, teacher did not evaluating the wor-
king process which has been conducted by stu-
dents while answering the questioned problems.
So that, the teacher does not really understand
the abilities or the difficulties experienced by stu-
dents while working on the questions.
Therefore, a research about the difficulties
faced by students in solving physics problems is
very important to conduct in order to understand
the type of difficulties and the factors caused it
(Azizah et al., 2015). Additionally, the research
results can also be used by physics teachers to
find out the existence of students who have mas-
tered the physics concept taught in the classroom
(Juwariyah et al., 2018). So, teacher can develop
certain teaching strategies which can be applied
to help students coping their difficulties and to
improve their understanding on physics concept
(Nurjannah & Sunarto, 2018).
Actually, there is slight research which
has been conducted regarding to the Indonesian
INTRODUCTION
Physics education essentially intends to
cultivate student’s analytical and reasoning capa-
bilities. These capabilities can be reflected in the
form of critical thingking, logical thingking and
systematical thingking which can be indicated
when students are able to solve physics problems
using the physics concept (Suroso, 2016). But,
this objective is hard to achieve. Most of stu-
dents, who have studied physics, think that phy-
sics is difficult and less interesting (Charli et al.,
2018). This assumption arises because students
only think about the number of physics equations
which must they know and remember according
to the different concept and physics law (Sari,
2018). On the other hand, students are rarely
taught about the examples of physics application
in their daily lives by the teacher at school. So,
many students think that physics is not an proper
subject which can be used to solve their real prob-
lem after graduating (Sari et al., 2013). Whereas,
physics is as one of the natural sciences which
is fundamental and has an important role on the
development of technology and other sciences.
So, a good understanding of physics concepts is
one of the best preparations which can be done
by students before facing their future (Sa’diyah et
al. 2017).
In Indonesia, there are many students who
have not been able to understand the physics
concepts well, especially at the secondary school
level (Hastuti et al., 2012). According to Prihar-
tanti et al. (2017), it happens because teacher are
always oriented to solve physics problems on
the physics textbook while teaching physics at
school. It drives students to focus on physics for-
mulas and calculation processes, without paying
more attention to the physics concept itself, when
solving the physics problems. Indirectly, it makes
physics learning process sensed like mathematics
learning. Djupanda et al. (2015) revealed that this
teaching strategy is conducted by physics teacher
in order to enhance the student’s problem-solving
skill in physics subjects. So, students can actuali-
ze all physics concepts which they have learned
at school in their daily lives. On the other hand,
Saifullah et al. (2016) found that this learning
strategy is expected to improve the physics under-
standing as well as the student’s problem-solving
ability.
However, the students’ problem-solving
ability in Indonesia is still relatively low. It is pro-
ven by worldwide study results published by the
Organisation for Economic Co-operation and
Development (2019) in The Programme for In-
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
26
student’s difficulties in physics. Most of the Indo-
nesian research focused on the implementation
of learning models, methods or strategies which
are considered effective in improving students’
conceptual understanding and problem-solving
skill. As the results, there are many studies revea-
led that a model, method or strategy is suitable
for teaching a certain topic in physics. But, oc-
casionally it is not suitable in certain classroom
condition of Indonesian schools. Nowadays,
there are many students who still facing the diffi-
culties in learning and solving physics problems.
Eventhough their teachers had implemented an
appropriate learning strategy or method conside-
red to enhance students’ learning motivation and
understanding of physics insight. But, those diffi-
culties are not investigated properly.
According to preliminary research, resear-
chers found that there are several studies investi-
gated about student’s difficulties in solving phy-
sics problem based on the George Poyla theory.
Those studies were conducted on physic subject
in general (Jiwanto et. al., 2012), linear motion
topic (Andriani et. al., 2016), work and energy
topic (Pratama, 2017), elasticity and Hooke law
(Hidayatulloh, 2020). Their studies used Poyla’s
problem solving theory as the main framework
to analyse student’s difficulties in solving phy-
sics problems. Actually, Poyla’s problem solving
theory is for mathematics subjects, although the
principles can also be applied to another sub-
ject, including physics. However, this approach
is inaccurate to inspect the student’s difficulties
in solving physics problems because this approa-
ch merely reviews the difficulties experienced by
students while executed the four problem solving
steps, which are: 1) understand the problem, 2)
devise a plan, 3) carry out the plan and 4) look
back (check and interpret). The research has
not identified the student’s difficulties in solving
physics problem specifically, but only identifying
their difficulties on certain stage of problem sol-
ving steps.
According to explaination above, resear-
chers conducted a research in order to analyse
student’s difficulties in solving physics problems.
This research specifically identified and catego-
zied type of difficulties faced by students in sol-
ving momentum and impulse problems. Resear-
chers hope that the type of difficulties provided
in this research can be a fundamental framework
which correcting the earlier approach which is
inaccurate. So, the next researcher can conduc-
ting similar research about student’s difficulties
in another topics of physics in the near future.
Finally, the results can be used to help Indonesi-
an students and teachers in understanding their
difficulties and needs on learning and teaching
physics at secondary schools.
METHOD
The research was a descriptive qualitative
research which describing a phenomenon without
manipulating or giving other treatment to the re-
seach objects (Arikunto, 2015). The research was
conducted at Senior High School 2 Makassar and
involved 66 students who had studied the mo-
mentum and impulse topics before the research
taken place. The students acted as respondents as
well as informants regarding to their difficulties
in solving momentum and impulse problems.
The data collection process was carried
out using test instruments and interviews. The
test instrument is used to determine the types of
student’s difficulties in solving physics problems.
The instrument consisted of five essay questions
which related to momentum and impulse prob-
lems. Before it used, the content validity of the
instrument was checked by experts to determine
whether the instrument is feasible to be used or
not. Test instruments used in this research were:
A 1,400 kg truck moving rightward with a
speed of 20 m/s collides with a car moving left-
ward with a speed of 10 m/s. The two vehicles
stick together and move with velocity of 17 m/s
after the collision. Determine mass of the car col-
lided by the truck!
A ball of mass 200g is thrown horizontal-
ly with a speed 5 m/s. The ball strikes a bat and
rebounds along the same line at a speed 15 m/s.
The length of contact time with the bat is 1 ms.
Find the force exerted by the hitter!
A 4 kg steel ball moving horizontaly in op-
posite direction with ball of mass 5 kg as shown
below:
Figure 1. The balls is collided elastically and
move in reverse direction.
The velocity of 4 kg ball is 4 m/s and the
velocity of 5 kg ball is 2 m/s. Calculate the velo-
city of 5 kg ball before the collision!
A 20 g bullet is fired into a stationary block
of (m = 60 g). The original speed of bullet when
traveling to the block is 10 m/s. The bullet embe-
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
27
ds in the block after the collision. Find the veloci-
ty of the bullet and the block after collision!
Two ball with same mass are moved to-
ward each other with velocity 4 m/s and 6 m/s
as shown below:
Figure 2. The balls is elastically colliding.
Respectively, the B ball returns back with
velocity 4 m/s. Find the velocity of A ball after
the colliding!
In this study, students were given as much
time as possible to solve the problems individu-
ally. This is performed in order to drive students
to solve the test instrument properly according to
their personal abilities without asking help from
others. Thus, the results will reflect their abilities
and difficulties while solving momentum and im-
pulse problems.
Next, the test results were analyzed in or-
der to determine the types of difficulties faced by
students while solving the tested instrument. The
types of difficulties was identified by examining
all of respondent answers one by one. The exami-
nation result were categorized based on the simi-
larity of mistake or error made by respondents.
Those mistake were considering as representati-
on of difficulties faced by respondent while wor-
king on the tested instrument.
Then, the difficulties found in this study
used as basic information on conducting inter-
view. The interview processes were performed in
a semi-structured interview aimed to find out all
factors which cause the student’s difficulties (Su-
giyono, 2015). The interview activity was carried
out on several students who made different mista-
kes while answering the tested instrument. Some
sample questions asked in the interview section
can be listed: What did you think about this prob-
lem?; Why don’t you write down the known and
asked variables in the question while answering
this problem?; How did you determine the equa-
tion which you will use to solve this problem?;
Why did you choose this equation to solve this
problem?; I found that you made a mistake in
substituting the variable to the equation. How did
you explain that?; What made it difficult for you
to solve the problem?
In addition, researchers also conducted
a simple descriptive statistic analysis in order to
calculate the percentage of difficulties faced by
students in solving the momentum and impulse
problems. According to Sudijono (2018), the ana-
lysis can be carried out using the following equa-
tion: P= x/N×100%
Where:
P=percentage of student’s difficulties
x=number of respondents who experienced dif-
ficulties
N=total number of respondents
RESULT AND DISCUSSION
The research was conducted at Senior
High School 2 Makassar in order to analyse the
student’s difficulties in solving physics problems,
especially in the momentum and impulses topics,
which were tested in the test instrument. Based
on the analysis process which has been carried
out on all respondents’ answers, it is found that
there are many students who still face difficulties
in solving momentum and impulse problems.
Based on data analysis and interview process,
reseachers identified that there are five types of
difficulties faced by respondents when working
the tested intruments. Those difficulties can be
described in the Table 1.
The Table 1 indicate that the number of
students who have difficulty in answering the
research instrument varies for each number.
But in average, it is known that there are seve-
ral constant difficulties faced by students when
solving the instruments, namely: 1) difficulty in
understanding the questions (26%), 2) difficulty
in determining the useable equations (25%), 3)
Table 1. Type and Percentage of Student’s Difficulties
Type of Difficulty
Percentage of Student’s Dif-
ficulty on Each Problem (%)
Average Per-
centage (%)
1 2 3 4 5
Difficulty in Understanding the Questions (D1) 33 20 17 27 33 26
Difficulty in Determining the Useable Equations (D2) 14 21 20 47 26 25
Difficulty in Substituting the Data to the Equation (D3) 71 67 55 59 65 63
Difficulty in Performing Mathematical Operations (D4) 85 77 68 73 77 76
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
28
difficulty in substituting the data to the equation
(63%) and 4) difficulty in performing mathemati-
cal operations (76%). The data in this table can be
illustated through Figure 3.
Figure 3. Graph of the Average Percentage of
Student’s Difficulties in Solving Momentum and
Impulse Problems
On the Figure 3, it can be seen that D4 had
the highest percentage of students’ difficulties. It
happen because majority of respondents (76%)
made a mistake in performing mathematical ope-
ration, so they did not get the correct answer. It
still happen eventhough they succeeded in un-
derstanding the question (D1), determining the
useable equation (D2), and substituting the varia-
bel to the equation (D3) correctly. Consequently,
when they can not undertanding the question or
determining the useabel equation or subtituting
the data correctly, they will face D4 difficulties
and get a wrong answer, like what happen to R-50
showed in Figure 5 below.
After further analysis, the type of student’s
difficulties above can be classified into Physical
Difficulties and Mathematical Difficulties, which
can be described as follows:
Physical Difficulties
The physical difficulties are type of
student’s difficulties related to the physics abili-
ties possessed by students. These types of diffi-
culty include:
Difficulty in Understanding the Questions
In this study, students were considered
to have this difficulty when they were unable to
write down variables provided on the question,
along with its values and units, correctly. The va-
riables include the known variables and the as-
ked variabel. Based on the research data above,
there were varies number of students who facing
this difficulty on each problem. On average, the-
re were 26% of students who faced this difficulty
while solving problems provided on the research
instrument.
The interview results revealed that this dif-
ficulty is caused by students’ lack of understan-
ding on the vector and scalar concepts. Most of
students thought that velocity is a scalar quantity.
So, they did not pay much attention to the signs,
either positive or negative, when they wrote down
the value of known variables on the problem.
This is an examples of student’s answers which
showing the student’s difficulty in understanding
the questions referred in this study:
Figure 4. Respondents’ (R-25) Answers on Ques-
tion Number 3.
The question number 3 on the test instru-
ment illustrates a collision between two balls mo-
ving in opposite directions. Based on Figure 4, it
can be seen that the velocity of the objects has the
same sign, which is both positive, neither before
or after the collision. This is the response of R-25
while asked:
Q: “What do you think about this question? Why
the known variables that your write down has
positive sign?”
A: “I think, this question asks me to find the ve-
locity of 5 kg ball before the collision. If I con-
sider this is A ball and this is B ball (ponting to
the picture on tested instrument), it means the ve-
locity of A ball before collision is 6 m/s and after
collision is 4 m/s. For B ball, the velocity before
collision is unknown and after collision is 2 m/s.
Hm, is it wrong?”
Q: “It almost right, I mean, the value is right, but
the sign is wrong. Don’t you considering the sign
of velocity before and after collision?”
A: “Oh, do you mean the positive sign if travel-
ing to the right and negative sign if traveling to
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
29
the left? I don’t think about it. Actually, I don’t
understand what is the direction of the balls after
the collision.
Q: “Hm, didn’t you read at the question that the
ball is move in reverse direction after the colli-
sion?”.
A: “Oh, is it the condition after collision? I
thought it’s before the collision, like on the pic-
ture.”
The answers of R-25 above explained that
the respondent does not fully understanding the
problem. If the respondent understands it well,
the respondent will surely know that the velocity
of objects will have different values and directions
after the collision happen. This mistake indicates
that the respondent faces difficulty in understan-
ding the meaning of questions properly.
In addition, there were also some students
who did not write down the known and asked va-
riables while answering the questions. This is an
example response while a respondent asked:
Q: “Why don’t you write down the known and
asked variables in the question while answering
this problem?”
A: “Actually, I am not used to write down the
variables because it confusing. I must consider
the value and the sign of the variable before use
it. I prefer to write down the equation directly so
I can understand what is being asked and what
variabel I need to find the solution.”
According to the answer, it easier for some
students to use the data provided in the questions
when they has write down the equation first. So,
they can immediately perform the calculation in
order to get the answer they want. But, this stra-
tegy is tricky because most of student will get a
wrong answer if they are not careful.
This results are in line with Rohmah (2018)
and Juwariyah’s (2018) study which stated that
most of students were not used to write down the
known variables when they were working on phy-
sics problems. In some cases, this condition will
not cause a significant problems on the final ans-
wer. However, on momentum and impulse topics,
most of students will experience several problems
when they do not pay attention to the condition
of variables.
Difficulty in Determining the Usable Equation
In this study, students were considered to
have this difficulty when they were unable to wri-
te down the correct equations which would be
used to solve the problems posed in the research
instrument. Based on Halliday Resnick (2004),
the usable equation in impulse and momentum
concept are:
The linear momentum equation:
p=mv
The impulse equation:
I=F ∆t
The impulse-momentum equation:
I=∆p
The law of consevation of linear momentum
equation:
∆p
i=∆p
f
m1i
.v1i
+m2i
.v2i
=m1f
.v1f
+m2f
.v2f
In this research, there were 25% of stu-
dents who faced this difficulty while solving prob-
lems provided on the research instrument. Based
on interviews with selected respondents, it is kno-
wn that majority of students faced difficulty in
solving collisions problem. It is caused due the
students’ lack of understanding on the collisions
concept and conservation of momentum. This
condition occurs because students always memo-
rize the physics equation without understanding
its usability. So, they frequently experienced dif-
ficulty while solving a problem which served in
different form as examples they have worked on
before. Although the questions is still applying
the same concept and equation to solve it. This
is an example of students’ answer which showing
the student’s difficulty in determining the correct
equations referred in this study:
Figure 5. Respondents’ (R-42) Answers on Ques-
tion Number 4.
The question number 4 on the test instru-
ment asked students to determine the velocity of
a block after being hit by a bullet fired at it. In this
problem, students should use the conservation of
momentum equation. Based on Figure 5, it can
be seen that the respondent use different equation
which have never been taught in class. During the
interview, the respondent stated that he forgot the
equation which must be used. So, he decided to
make his own equation by comparing the mass
of the block and the bullet with its velocities. This
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
30
condition is supported by the reseach results of
Rahmat (2017) which revealed that some stu-
dents who do not remember the usable equation
to solve a physics problem prefer to modify a re-
membered equation in order to get the expected
answer.
Mathematical Difficulties
The mathematical difficulties are type of
student’s difficulties related to the mathematical
abilities possessed by students. These types of dif-
ficulty include:
Difficulty in Substituting the Data to the Equation
In this study, students were considered to
have this difficulty when they were unable to sub-
stitute the known variables in the questions into
the equations which they had written correctly.
In this research, there were 63% of students who
faced this difficulty while solving problems pro-
vided on the research instrument. Based on in-
terview results, it is known that this difficulty are
basically influenced by student’s mistake when
determining the values of variables. All students
who have difficulty in understanding the questi-
ons and made mistakes when writing the values
of variables, can be preconcerted facing difficulty
in substituting the variable values into the equa-
tions. This condition is a domino effect of the
mistakes which they have done before.
Apparently, there were students who still
faced this difficulty even they did not make mista-
kes when writing the values of the known variab-
les. This is an example of the mistake which have
been made by these students:
Figure 6. Respondents’ (R-13) Answers on Ques-
tion Number 2
The question Number 2 on the test instru-
ment asked students to determine the amount of
force exerted by a hitter on a ball. Based on Figu-
re 6, it can be seen that the respondent has written
down the value of known and asked variables, as
well as the usable equations, correctly. But when
substituting process, the respondent made a mis-
take in substituting the values of initial velocity
and contact time into the equation. As a result,
the respondent’s answer gone wrong.
Based on interview results, this condition
happened because the respondent faced difficulty
when trying to substitute the initial velocity value
into the equation. According to the respondent’s
explanation, the initial velocity value which kno-
wn in the question is positive, while the initial ve-
locity on the equation is negative. This made the
respondent confused, so he decided to change the
velocity sign on the equation in order to matched
it with the initial velocity value in the question. In
addition, the respondent also said that he was not
meticulous when working on the problem. So, he
made a mistake when substituting the value of
time variable into the equation.
This results are supported by Pratama et
al. (2017) which revealed that students who made
mistakes in writing the known variables will au-
tomatically made a mistake when substituting
the variable values into the equations. Finally, it
will drive student to get a wrong answer during
the processes. However, this mistake does not ab-
solutely happen to all these students, but can also
happen to other students due to meticulous and
human error while solving the physics problem.
Difficulty in Performing Mathematical Operations
In this study, students are considered to
have this difficulty when they are not able to per-
form mathematical operations, both in the form
of addition, subtraction, multiplication or divisi-
on, properly to get the correct answer. In this re-
search, there were 76% of students who faced this
difficulty while solving the problems provided on
the research instrument. Based on interviews, it
is known that this difficulty occured due to the
weakness of student’s abilities in performing
mathematical operation. This weakness generally
lies in the ability to solve problems in linear equa-
tions. Based on respondent’s answers, most of the
mistakes occur when the respondent multiplies or
divides a positive integer by a negative integer or
vice versa. On the written answers, respondents
only perform the mathematical operation without
paying more attention to the signs accompanying
the numbers. This result is supported by Aufah et.
al. (2014) research result which revealed that the
difficulties caused by inaccuracies in performing
mathematical calculations. They did not careful
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
31
in multiplying or dividing numerical numbers.
In addition, some students also seem to
have difficulty in performing operations which
involved equalizing linear equations. This hap-
pened because most of students have misunder-
stand the basic concept of solving the linear equa-
tion. Where they often assume: if a number has
“moving segment” (pindah ruas), then the ‘sign’
must be changed (either from positive to negative
or vice versa). Based on this answer, they indi-
rectly did not realize that this action was wrong,
especially if the number that they operate is in
the form of a multiplication or division. At that
stated, the ‘sign’ cannot be changed outright.
Aufah et. al. (2014) study revealed that students
who faced difficulty in mathematical calculations
because they did not change the numerical sign
when moving segments.
According to Laja (2020), it happened as
an result of teacher mistakes while teaching the
process of solving linear equations in math. The
rule of ‘moving segments’ is actually a procedu-
ral error which is inexcusable even if it simplifies
the process of solving mathematical problems.
Because this rule is never existed and was un-
justified in mathematics theory. The correct pro-
cess of solving linear equations is through line
elimination operations which are conducted by
adding, subtracting, multiplying or dividing the
two segments by the same number. This mathe-
matical misunderstanding cannot be tolerated
because it causes several mistakes which driving
students to get a wrong answer at the end of their
problem solving process.
An example of mistakes which has been
made by these students can be seen below:
Figure 7. Respondents’ (R-50) Answers on Ques-
tion Number 5
The question Number 5 on the test instru-
ment asked students to determine the velocity of a
ball which experienced elastic collision. Based on
Figure 7, it can be seen that the respondent facing
difficulty in performing mathematical operation,
especially in solving the linear equation problem.
When answering question number 5, the respon-
dent was successful in understanding the question
(D1), determining the useable equation (D2), and
substituting the variabel to the equation (D3) cor-
rectly. However, when performing mathematical
operations related to linear equations, the respon-
dent made an error when performing the moving
segment operation. It can be seen on Figure 5 that
the respondent only moved the existing variables
() without paying attention to the sign, so the re-
sults obtained were wrong.
According to interview, R-50 admitted that
he was not careful in the process of completing
the moving segment operation. This condition
did not only occur in physics subjects, but also in
mathematics and chemistry subjects which requi-
re moving segment operations to solve the prob-
lem. This results is supported by Rufaida (2012)
which revealed that some students admitted that
they could not conduted the linear equation ope-
ration while working on momentum and impulse
problems. This happened because they did not
really understand the mathematical operation of
linear equation. Whereas according to Lestari
et. al. (2016), the mathematical skills possessed
by students had significant affect to the problem
solving skill in physics. Where the weaker their
mathematical skills, the more difficulties they fa-
ced in solving physics problems, and vice versa.
Therefore, this mathematical skill really needs
to be considered by the teacher, so that their stu-
dents are able to solve physics problems without
experiencing difficulties or making any mistakes.
Additionally, some respondents also revea-
led that their difficulties in solving physics prob-
lem were actually caused due to lack of physics
learning process which is not honing their prob-
lem solving skills. This condition is supported
by Datur (2016) which revealed that the physics
learning strategies carried out by teacher are ra-
rely polished the student’s problem solving skill
in physics subject. Whereas, physics problem sol-
ving skill is one of important skills which is need
by students who want to continue their education
or aspire to find a job related to physics field.
On the other hand, those difficulties also
happened because majority of students were lazy
to practice in solving physics problems outside
predetermined class. This result is also consistent
with the research result achieved by Khairani
(2019) which shown that the lack of students mo-
tivation in learning physic also one of the causes
of the advent of student’s difficulties in solving
physics problems at secondary schools. Accor-
Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33
32
ding to Sari (2018), those difficulties will decrease
student’s achievement in physics subject. Thus,
these student’s difficulties must be overcome im-
mediately by the teacher or student itself. So, it
will not have a critical impact on the physics lear-
ning outcomes and student achievement in the
near future.
According to Azizah (2015), one of the
efforts which can be conducted by the teacher
to overcome the students difficulties on problem
solving is by applying a learning method which
focused on solving physics problems based on
its concepts. Furthermore, students must be gi-
ven more opportunities to solve various physics
problems individually. So, they can develop their
problem solving skills by his/herself. However,
this method must also be flexible and adjustab-
le to the student conditions and abilities in each
level. Hoping that they can learn physics well
without any pressured which can ruin their mo-
tivation and their interest in learning physics. Su-
siana (2017) suggested that to improve students’
problem-solving abilities, the learning activities
in physics must be student-centered not teacher-
centered. Teachers must applied learning strategy
and provide learning materials which can help
students improving their problem solving skills.
CONCLUSION
Based on the results and discussion, it can
be concluded that student’s difficulties in solving
momentum and impulse problems can be grou-
ped into physical difficulties and mathematical
difficulties. The physical difficulties consist of
student’s difficulty in understanding the ques-
tions (26%) and student’s difficulty in determi-
ning the useable equations (25%). Meanwhile,
the mathematical difficulties consist of student’s
difficulty in substituting the data to the equation
(63%) and student’s difficulty in performing mat-
hematical operations (76%). Based on interviews
and analysis, these difficulties are caused by se-
veral factors, namely: 1) the lack of student’s un-
derstanding about physics concepts, 2) the weak-
ness of student’s mathematical skills, 3) the lack
of physics learning process which is not honing
student’s problem-solving skills and 4) the lack
of student’s motivation on developing their prob-
lems solving skills in physics subjects.
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Analysis Of Student S Difficulties In Solving Physics Problem Impulse And Momentum Topics

  • 1. 10 (1) (2021) 24-33 Unnes Science Education Journal Accredited Sinta 3 https://journal.unnes.ac.id/sju/index.php/usej Analysis of Student’s Difficulties in Solving Physics Problem: Im- pulse and Momentum Topics Tri Adianto1 , Muhammad Aqil Rusli2 DOI: http://dx.doi.org/10.15294/usej.v10i1.41517 1 Department of Physics, Faculty of Mathematics and Science, Universitas Negeri Makassar, Indonesia 2 Department of Science Education, Faculty of Mathematics and Science, Universitas Negeri Makassar, Indone- sia Abstract Physics education essentially intends to cultivate student’s analytical and reason- ing capabilities. However, this objective is hard to achieve because there are many students who facing difficulties in solving physics problems. This research was con- ducted to identify the types of student’s difficulties in solving momentum and im- pulse problems, along with the factors causing it. This research was conducted using a descriptive qualitative approach to 66 students of Senior High School 2 Makassar who had studied momentum and impulse topics. The data collection process was carried out using test and interviews. Based on the results, it can be identified that there are two types of student’s difficulties in solving momentum and impulse prob- lems. The first type was physical difficulties which consisted of student’s difficulty in understanding the questions (26%) and student’s difficulty in determining the useable equations (25%). Then, the second type was mathematical difficulties which consisted of student’s difficulty in substituting the data to the equation (63%) and student’s difficulty in performing mathematical operations (76%). Based on inter- views and analysis, it can be concluded that these difficulties was commonly faced by students while solving physics problems, including in momentum and impulse topic. Futhermore, the difiiculties were caused by several factors, namely: 1) the lack of student’s understanding about physics concepts, 2) the weakness of student’s mathematical skills, 3) the lack of physics learning process which is not honing stu- dent’s problem-solving skills and 4) the lack of student’s motivation on developing their problems solving skills in physics subjects. Thus, researchers recommend to all physics teachers in Indonesia to immediately develop or implement learning strate- gies or methods which are considered capable of overcome all student’s difficulties that have been found. How to Cite Adianto, T., & Rusli, M. A. (2021). Analysis of Student’s Difficulties in Solving Physics Problem: Impulse and Momentum Topics. Unnes Science Education Journal, 10(1), 24-33. Article Info Submitted 8 October 2020 Revised 28 December 2020 Accepted 17 February 2021 Keywords Impulse, Momentum, Physics Education, Physics Problem Solving, Student’s Difficulties  Correspondence Author: E-mail: tri.adianto3595@gmail.com p-ISSN 2252-6617 e-ISSN 2502-6232
  • 2. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 25 ternational Student Assessment (PISA) report. On the report, Indonesia is rank 70th of 79 on science literacy subject. It means that the scien- tific literacy of Indonesian students is relatively weak compared by other participated countries. It is supported by the study of Ikshan et al. (2019) which revealed that the average score of Indone- sian students for physics subjects in the national exam is relatively lower than other tested subjects each year. It happens because students often fa- ced several difficulties in solving physics prob- lems, including in momentum and impulse topic. One of the difficulties faced by students is the difficulty in solving collision problems. Ad- ditionally, the researcher believes that there are other difficulties faced by students in the momen- tum and impulse topic. It can be seen from the exam score which are still low. However, these difficulties are often ignored by teachers, so that there are still many students who repeat a similar mistake when solving momentum and impulse problems. It happens because the lack of physics teacher awareness in identifying those difficulties (Rahmat, 2017). Most physics teachers assess students’ problem solving abilities from the exam results, regardless of the process. If the student ans- wers wrongly, then the student is considered not mastering the physics concept which have been learned, without considering the reasons why students cannot solve the questioned problem (Susiana, 2017). On the other hand, Dwi and Woro’s (2015) study revealed that the evaluation of learning process carried out by physics teach- ers, when giving an assessment, is based on the answer key, teacher did not evaluating the wor- king process which has been conducted by stu- dents while answering the questioned problems. So that, the teacher does not really understand the abilities or the difficulties experienced by stu- dents while working on the questions. Therefore, a research about the difficulties faced by students in solving physics problems is very important to conduct in order to understand the type of difficulties and the factors caused it (Azizah et al., 2015). Additionally, the research results can also be used by physics teachers to find out the existence of students who have mas- tered the physics concept taught in the classroom (Juwariyah et al., 2018). So, teacher can develop certain teaching strategies which can be applied to help students coping their difficulties and to improve their understanding on physics concept (Nurjannah & Sunarto, 2018). Actually, there is slight research which has been conducted regarding to the Indonesian INTRODUCTION Physics education essentially intends to cultivate student’s analytical and reasoning capa- bilities. These capabilities can be reflected in the form of critical thingking, logical thingking and systematical thingking which can be indicated when students are able to solve physics problems using the physics concept (Suroso, 2016). But, this objective is hard to achieve. Most of stu- dents, who have studied physics, think that phy- sics is difficult and less interesting (Charli et al., 2018). This assumption arises because students only think about the number of physics equations which must they know and remember according to the different concept and physics law (Sari, 2018). On the other hand, students are rarely taught about the examples of physics application in their daily lives by the teacher at school. So, many students think that physics is not an proper subject which can be used to solve their real prob- lem after graduating (Sari et al., 2013). Whereas, physics is as one of the natural sciences which is fundamental and has an important role on the development of technology and other sciences. So, a good understanding of physics concepts is one of the best preparations which can be done by students before facing their future (Sa’diyah et al. 2017). In Indonesia, there are many students who have not been able to understand the physics concepts well, especially at the secondary school level (Hastuti et al., 2012). According to Prihar- tanti et al. (2017), it happens because teacher are always oriented to solve physics problems on the physics textbook while teaching physics at school. It drives students to focus on physics for- mulas and calculation processes, without paying more attention to the physics concept itself, when solving the physics problems. Indirectly, it makes physics learning process sensed like mathematics learning. Djupanda et al. (2015) revealed that this teaching strategy is conducted by physics teacher in order to enhance the student’s problem-solving skill in physics subjects. So, students can actuali- ze all physics concepts which they have learned at school in their daily lives. On the other hand, Saifullah et al. (2016) found that this learning strategy is expected to improve the physics under- standing as well as the student’s problem-solving ability. However, the students’ problem-solving ability in Indonesia is still relatively low. It is pro- ven by worldwide study results published by the Organisation for Economic Co-operation and Development (2019) in The Programme for In-
  • 3. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 26 student’s difficulties in physics. Most of the Indo- nesian research focused on the implementation of learning models, methods or strategies which are considered effective in improving students’ conceptual understanding and problem-solving skill. As the results, there are many studies revea- led that a model, method or strategy is suitable for teaching a certain topic in physics. But, oc- casionally it is not suitable in certain classroom condition of Indonesian schools. Nowadays, there are many students who still facing the diffi- culties in learning and solving physics problems. Eventhough their teachers had implemented an appropriate learning strategy or method conside- red to enhance students’ learning motivation and understanding of physics insight. But, those diffi- culties are not investigated properly. According to preliminary research, resear- chers found that there are several studies investi- gated about student’s difficulties in solving phy- sics problem based on the George Poyla theory. Those studies were conducted on physic subject in general (Jiwanto et. al., 2012), linear motion topic (Andriani et. al., 2016), work and energy topic (Pratama, 2017), elasticity and Hooke law (Hidayatulloh, 2020). Their studies used Poyla’s problem solving theory as the main framework to analyse student’s difficulties in solving phy- sics problems. Actually, Poyla’s problem solving theory is for mathematics subjects, although the principles can also be applied to another sub- ject, including physics. However, this approach is inaccurate to inspect the student’s difficulties in solving physics problems because this approa- ch merely reviews the difficulties experienced by students while executed the four problem solving steps, which are: 1) understand the problem, 2) devise a plan, 3) carry out the plan and 4) look back (check and interpret). The research has not identified the student’s difficulties in solving physics problem specifically, but only identifying their difficulties on certain stage of problem sol- ving steps. According to explaination above, resear- chers conducted a research in order to analyse student’s difficulties in solving physics problems. This research specifically identified and catego- zied type of difficulties faced by students in sol- ving momentum and impulse problems. Resear- chers hope that the type of difficulties provided in this research can be a fundamental framework which correcting the earlier approach which is inaccurate. So, the next researcher can conduc- ting similar research about student’s difficulties in another topics of physics in the near future. Finally, the results can be used to help Indonesi- an students and teachers in understanding their difficulties and needs on learning and teaching physics at secondary schools. METHOD The research was a descriptive qualitative research which describing a phenomenon without manipulating or giving other treatment to the re- seach objects (Arikunto, 2015). The research was conducted at Senior High School 2 Makassar and involved 66 students who had studied the mo- mentum and impulse topics before the research taken place. The students acted as respondents as well as informants regarding to their difficulties in solving momentum and impulse problems. The data collection process was carried out using test instruments and interviews. The test instrument is used to determine the types of student’s difficulties in solving physics problems. The instrument consisted of five essay questions which related to momentum and impulse prob- lems. Before it used, the content validity of the instrument was checked by experts to determine whether the instrument is feasible to be used or not. Test instruments used in this research were: A 1,400 kg truck moving rightward with a speed of 20 m/s collides with a car moving left- ward with a speed of 10 m/s. The two vehicles stick together and move with velocity of 17 m/s after the collision. Determine mass of the car col- lided by the truck! A ball of mass 200g is thrown horizontal- ly with a speed 5 m/s. The ball strikes a bat and rebounds along the same line at a speed 15 m/s. The length of contact time with the bat is 1 ms. Find the force exerted by the hitter! A 4 kg steel ball moving horizontaly in op- posite direction with ball of mass 5 kg as shown below: Figure 1. The balls is collided elastically and move in reverse direction. The velocity of 4 kg ball is 4 m/s and the velocity of 5 kg ball is 2 m/s. Calculate the velo- city of 5 kg ball before the collision! A 20 g bullet is fired into a stationary block of (m = 60 g). The original speed of bullet when traveling to the block is 10 m/s. The bullet embe-
  • 4. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 27 ds in the block after the collision. Find the veloci- ty of the bullet and the block after collision! Two ball with same mass are moved to- ward each other with velocity 4 m/s and 6 m/s as shown below: Figure 2. The balls is elastically colliding. Respectively, the B ball returns back with velocity 4 m/s. Find the velocity of A ball after the colliding! In this study, students were given as much time as possible to solve the problems individu- ally. This is performed in order to drive students to solve the test instrument properly according to their personal abilities without asking help from others. Thus, the results will reflect their abilities and difficulties while solving momentum and im- pulse problems. Next, the test results were analyzed in or- der to determine the types of difficulties faced by students while solving the tested instrument. The types of difficulties was identified by examining all of respondent answers one by one. The exami- nation result were categorized based on the simi- larity of mistake or error made by respondents. Those mistake were considering as representati- on of difficulties faced by respondent while wor- king on the tested instrument. Then, the difficulties found in this study used as basic information on conducting inter- view. The interview processes were performed in a semi-structured interview aimed to find out all factors which cause the student’s difficulties (Su- giyono, 2015). The interview activity was carried out on several students who made different mista- kes while answering the tested instrument. Some sample questions asked in the interview section can be listed: What did you think about this prob- lem?; Why don’t you write down the known and asked variables in the question while answering this problem?; How did you determine the equa- tion which you will use to solve this problem?; Why did you choose this equation to solve this problem?; I found that you made a mistake in substituting the variable to the equation. How did you explain that?; What made it difficult for you to solve the problem? In addition, researchers also conducted a simple descriptive statistic analysis in order to calculate the percentage of difficulties faced by students in solving the momentum and impulse problems. According to Sudijono (2018), the ana- lysis can be carried out using the following equa- tion: P= x/N×100% Where: P=percentage of student’s difficulties x=number of respondents who experienced dif- ficulties N=total number of respondents RESULT AND DISCUSSION The research was conducted at Senior High School 2 Makassar in order to analyse the student’s difficulties in solving physics problems, especially in the momentum and impulses topics, which were tested in the test instrument. Based on the analysis process which has been carried out on all respondents’ answers, it is found that there are many students who still face difficulties in solving momentum and impulse problems. Based on data analysis and interview process, reseachers identified that there are five types of difficulties faced by respondents when working the tested intruments. Those difficulties can be described in the Table 1. The Table 1 indicate that the number of students who have difficulty in answering the research instrument varies for each number. But in average, it is known that there are seve- ral constant difficulties faced by students when solving the instruments, namely: 1) difficulty in understanding the questions (26%), 2) difficulty in determining the useable equations (25%), 3) Table 1. Type and Percentage of Student’s Difficulties Type of Difficulty Percentage of Student’s Dif- ficulty on Each Problem (%) Average Per- centage (%) 1 2 3 4 5 Difficulty in Understanding the Questions (D1) 33 20 17 27 33 26 Difficulty in Determining the Useable Equations (D2) 14 21 20 47 26 25 Difficulty in Substituting the Data to the Equation (D3) 71 67 55 59 65 63 Difficulty in Performing Mathematical Operations (D4) 85 77 68 73 77 76
  • 5. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 28 difficulty in substituting the data to the equation (63%) and 4) difficulty in performing mathemati- cal operations (76%). The data in this table can be illustated through Figure 3. Figure 3. Graph of the Average Percentage of Student’s Difficulties in Solving Momentum and Impulse Problems On the Figure 3, it can be seen that D4 had the highest percentage of students’ difficulties. It happen because majority of respondents (76%) made a mistake in performing mathematical ope- ration, so they did not get the correct answer. It still happen eventhough they succeeded in un- derstanding the question (D1), determining the useable equation (D2), and substituting the varia- bel to the equation (D3) correctly. Consequently, when they can not undertanding the question or determining the useabel equation or subtituting the data correctly, they will face D4 difficulties and get a wrong answer, like what happen to R-50 showed in Figure 5 below. After further analysis, the type of student’s difficulties above can be classified into Physical Difficulties and Mathematical Difficulties, which can be described as follows: Physical Difficulties The physical difficulties are type of student’s difficulties related to the physics abili- ties possessed by students. These types of diffi- culty include: Difficulty in Understanding the Questions In this study, students were considered to have this difficulty when they were unable to write down variables provided on the question, along with its values and units, correctly. The va- riables include the known variables and the as- ked variabel. Based on the research data above, there were varies number of students who facing this difficulty on each problem. On average, the- re were 26% of students who faced this difficulty while solving problems provided on the research instrument. The interview results revealed that this dif- ficulty is caused by students’ lack of understan- ding on the vector and scalar concepts. Most of students thought that velocity is a scalar quantity. So, they did not pay much attention to the signs, either positive or negative, when they wrote down the value of known variables on the problem. This is an examples of student’s answers which showing the student’s difficulty in understanding the questions referred in this study: Figure 4. Respondents’ (R-25) Answers on Ques- tion Number 3. The question number 3 on the test instru- ment illustrates a collision between two balls mo- ving in opposite directions. Based on Figure 4, it can be seen that the velocity of the objects has the same sign, which is both positive, neither before or after the collision. This is the response of R-25 while asked: Q: “What do you think about this question? Why the known variables that your write down has positive sign?” A: “I think, this question asks me to find the ve- locity of 5 kg ball before the collision. If I con- sider this is A ball and this is B ball (ponting to the picture on tested instrument), it means the ve- locity of A ball before collision is 6 m/s and after collision is 4 m/s. For B ball, the velocity before collision is unknown and after collision is 2 m/s. Hm, is it wrong?” Q: “It almost right, I mean, the value is right, but the sign is wrong. Don’t you considering the sign of velocity before and after collision?” A: “Oh, do you mean the positive sign if travel- ing to the right and negative sign if traveling to
  • 6. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 29 the left? I don’t think about it. Actually, I don’t understand what is the direction of the balls after the collision. Q: “Hm, didn’t you read at the question that the ball is move in reverse direction after the colli- sion?”. A: “Oh, is it the condition after collision? I thought it’s before the collision, like on the pic- ture.” The answers of R-25 above explained that the respondent does not fully understanding the problem. If the respondent understands it well, the respondent will surely know that the velocity of objects will have different values and directions after the collision happen. This mistake indicates that the respondent faces difficulty in understan- ding the meaning of questions properly. In addition, there were also some students who did not write down the known and asked va- riables while answering the questions. This is an example response while a respondent asked: Q: “Why don’t you write down the known and asked variables in the question while answering this problem?” A: “Actually, I am not used to write down the variables because it confusing. I must consider the value and the sign of the variable before use it. I prefer to write down the equation directly so I can understand what is being asked and what variabel I need to find the solution.” According to the answer, it easier for some students to use the data provided in the questions when they has write down the equation first. So, they can immediately perform the calculation in order to get the answer they want. But, this stra- tegy is tricky because most of student will get a wrong answer if they are not careful. This results are in line with Rohmah (2018) and Juwariyah’s (2018) study which stated that most of students were not used to write down the known variables when they were working on phy- sics problems. In some cases, this condition will not cause a significant problems on the final ans- wer. However, on momentum and impulse topics, most of students will experience several problems when they do not pay attention to the condition of variables. Difficulty in Determining the Usable Equation In this study, students were considered to have this difficulty when they were unable to wri- te down the correct equations which would be used to solve the problems posed in the research instrument. Based on Halliday Resnick (2004), the usable equation in impulse and momentum concept are: The linear momentum equation: p=mv The impulse equation: I=F ∆t The impulse-momentum equation: I=∆p The law of consevation of linear momentum equation: ∆p i=∆p f m1i .v1i +m2i .v2i =m1f .v1f +m2f .v2f In this research, there were 25% of stu- dents who faced this difficulty while solving prob- lems provided on the research instrument. Based on interviews with selected respondents, it is kno- wn that majority of students faced difficulty in solving collisions problem. It is caused due the students’ lack of understanding on the collisions concept and conservation of momentum. This condition occurs because students always memo- rize the physics equation without understanding its usability. So, they frequently experienced dif- ficulty while solving a problem which served in different form as examples they have worked on before. Although the questions is still applying the same concept and equation to solve it. This is an example of students’ answer which showing the student’s difficulty in determining the correct equations referred in this study: Figure 5. Respondents’ (R-42) Answers on Ques- tion Number 4. The question number 4 on the test instru- ment asked students to determine the velocity of a block after being hit by a bullet fired at it. In this problem, students should use the conservation of momentum equation. Based on Figure 5, it can be seen that the respondent use different equation which have never been taught in class. During the interview, the respondent stated that he forgot the equation which must be used. So, he decided to make his own equation by comparing the mass of the block and the bullet with its velocities. This
  • 7. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 30 condition is supported by the reseach results of Rahmat (2017) which revealed that some stu- dents who do not remember the usable equation to solve a physics problem prefer to modify a re- membered equation in order to get the expected answer. Mathematical Difficulties The mathematical difficulties are type of student’s difficulties related to the mathematical abilities possessed by students. These types of dif- ficulty include: Difficulty in Substituting the Data to the Equation In this study, students were considered to have this difficulty when they were unable to sub- stitute the known variables in the questions into the equations which they had written correctly. In this research, there were 63% of students who faced this difficulty while solving problems pro- vided on the research instrument. Based on in- terview results, it is known that this difficulty are basically influenced by student’s mistake when determining the values of variables. All students who have difficulty in understanding the questi- ons and made mistakes when writing the values of variables, can be preconcerted facing difficulty in substituting the variable values into the equa- tions. This condition is a domino effect of the mistakes which they have done before. Apparently, there were students who still faced this difficulty even they did not make mista- kes when writing the values of the known variab- les. This is an example of the mistake which have been made by these students: Figure 6. Respondents’ (R-13) Answers on Ques- tion Number 2 The question Number 2 on the test instru- ment asked students to determine the amount of force exerted by a hitter on a ball. Based on Figu- re 6, it can be seen that the respondent has written down the value of known and asked variables, as well as the usable equations, correctly. But when substituting process, the respondent made a mis- take in substituting the values of initial velocity and contact time into the equation. As a result, the respondent’s answer gone wrong. Based on interview results, this condition happened because the respondent faced difficulty when trying to substitute the initial velocity value into the equation. According to the respondent’s explanation, the initial velocity value which kno- wn in the question is positive, while the initial ve- locity on the equation is negative. This made the respondent confused, so he decided to change the velocity sign on the equation in order to matched it with the initial velocity value in the question. In addition, the respondent also said that he was not meticulous when working on the problem. So, he made a mistake when substituting the value of time variable into the equation. This results are supported by Pratama et al. (2017) which revealed that students who made mistakes in writing the known variables will au- tomatically made a mistake when substituting the variable values into the equations. Finally, it will drive student to get a wrong answer during the processes. However, this mistake does not ab- solutely happen to all these students, but can also happen to other students due to meticulous and human error while solving the physics problem. Difficulty in Performing Mathematical Operations In this study, students are considered to have this difficulty when they are not able to per- form mathematical operations, both in the form of addition, subtraction, multiplication or divisi- on, properly to get the correct answer. In this re- search, there were 76% of students who faced this difficulty while solving the problems provided on the research instrument. Based on interviews, it is known that this difficulty occured due to the weakness of student’s abilities in performing mathematical operation. This weakness generally lies in the ability to solve problems in linear equa- tions. Based on respondent’s answers, most of the mistakes occur when the respondent multiplies or divides a positive integer by a negative integer or vice versa. On the written answers, respondents only perform the mathematical operation without paying more attention to the signs accompanying the numbers. This result is supported by Aufah et. al. (2014) research result which revealed that the difficulties caused by inaccuracies in performing mathematical calculations. They did not careful
  • 8. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 31 in multiplying or dividing numerical numbers. In addition, some students also seem to have difficulty in performing operations which involved equalizing linear equations. This hap- pened because most of students have misunder- stand the basic concept of solving the linear equa- tion. Where they often assume: if a number has “moving segment” (pindah ruas), then the ‘sign’ must be changed (either from positive to negative or vice versa). Based on this answer, they indi- rectly did not realize that this action was wrong, especially if the number that they operate is in the form of a multiplication or division. At that stated, the ‘sign’ cannot be changed outright. Aufah et. al. (2014) study revealed that students who faced difficulty in mathematical calculations because they did not change the numerical sign when moving segments. According to Laja (2020), it happened as an result of teacher mistakes while teaching the process of solving linear equations in math. The rule of ‘moving segments’ is actually a procedu- ral error which is inexcusable even if it simplifies the process of solving mathematical problems. Because this rule is never existed and was un- justified in mathematics theory. The correct pro- cess of solving linear equations is through line elimination operations which are conducted by adding, subtracting, multiplying or dividing the two segments by the same number. This mathe- matical misunderstanding cannot be tolerated because it causes several mistakes which driving students to get a wrong answer at the end of their problem solving process. An example of mistakes which has been made by these students can be seen below: Figure 7. Respondents’ (R-50) Answers on Ques- tion Number 5 The question Number 5 on the test instru- ment asked students to determine the velocity of a ball which experienced elastic collision. Based on Figure 7, it can be seen that the respondent facing difficulty in performing mathematical operation, especially in solving the linear equation problem. When answering question number 5, the respon- dent was successful in understanding the question (D1), determining the useable equation (D2), and substituting the variabel to the equation (D3) cor- rectly. However, when performing mathematical operations related to linear equations, the respon- dent made an error when performing the moving segment operation. It can be seen on Figure 5 that the respondent only moved the existing variables () without paying attention to the sign, so the re- sults obtained were wrong. According to interview, R-50 admitted that he was not careful in the process of completing the moving segment operation. This condition did not only occur in physics subjects, but also in mathematics and chemistry subjects which requi- re moving segment operations to solve the prob- lem. This results is supported by Rufaida (2012) which revealed that some students admitted that they could not conduted the linear equation ope- ration while working on momentum and impulse problems. This happened because they did not really understand the mathematical operation of linear equation. Whereas according to Lestari et. al. (2016), the mathematical skills possessed by students had significant affect to the problem solving skill in physics. Where the weaker their mathematical skills, the more difficulties they fa- ced in solving physics problems, and vice versa. Therefore, this mathematical skill really needs to be considered by the teacher, so that their stu- dents are able to solve physics problems without experiencing difficulties or making any mistakes. Additionally, some respondents also revea- led that their difficulties in solving physics prob- lem were actually caused due to lack of physics learning process which is not honing their prob- lem solving skills. This condition is supported by Datur (2016) which revealed that the physics learning strategies carried out by teacher are ra- rely polished the student’s problem solving skill in physics subject. Whereas, physics problem sol- ving skill is one of important skills which is need by students who want to continue their education or aspire to find a job related to physics field. On the other hand, those difficulties also happened because majority of students were lazy to practice in solving physics problems outside predetermined class. This result is also consistent with the research result achieved by Khairani (2019) which shown that the lack of students mo- tivation in learning physic also one of the causes of the advent of student’s difficulties in solving physics problems at secondary schools. Accor-
  • 9. Tri Adianto, Muhammad Aqil Rusli / Unnes Science Education Journal 10 (1) (2021) 24-33 32 ding to Sari (2018), those difficulties will decrease student’s achievement in physics subject. Thus, these student’s difficulties must be overcome im- mediately by the teacher or student itself. So, it will not have a critical impact on the physics lear- ning outcomes and student achievement in the near future. According to Azizah (2015), one of the efforts which can be conducted by the teacher to overcome the students difficulties on problem solving is by applying a learning method which focused on solving physics problems based on its concepts. Furthermore, students must be gi- ven more opportunities to solve various physics problems individually. So, they can develop their problem solving skills by his/herself. However, this method must also be flexible and adjustab- le to the student conditions and abilities in each level. Hoping that they can learn physics well without any pressured which can ruin their mo- tivation and their interest in learning physics. Su- siana (2017) suggested that to improve students’ problem-solving abilities, the learning activities in physics must be student-centered not teacher- centered. Teachers must applied learning strategy and provide learning materials which can help students improving their problem solving skills. CONCLUSION Based on the results and discussion, it can be concluded that student’s difficulties in solving momentum and impulse problems can be grou- ped into physical difficulties and mathematical difficulties. The physical difficulties consist of student’s difficulty in understanding the ques- tions (26%) and student’s difficulty in determi- ning the useable equations (25%). Meanwhile, the mathematical difficulties consist of student’s difficulty in substituting the data to the equation (63%) and student’s difficulty in performing mat- hematical operations (76%). Based on interviews and analysis, these difficulties are caused by se- veral factors, namely: 1) the lack of student’s un- derstanding about physics concepts, 2) the weak- ness of student’s mathematical skills, 3) the lack of physics learning process which is not honing student’s problem-solving skills and 4) the lack of student’s motivation on developing their prob- lems solving skills in physics subjects. REFERENCES Andriani, N. L. Y; Darsikin & Hatibe, A.. (2016). Analisis Kesulitan Siswa dalam Menyelesaikan Soal Gerak Lurus. Jurnal Pendidikan Fisika Tad- ulako (JPFT), 4(3), 36-41. Arikunto, S. (2014). Prosedur Penelitian: Suatu Pendeka- tan Praktik. Cetakan ke 15. Jakarta: PT. Rineka Cipta. Aufah, R.; Sudrajat, H. & Azizahwati. (2014). 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