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Chapter 1: Intro to Physics
Objectives
The student will be able to:
• Identify activities in fields that involve the major areas
within physics.
• Identify the basic dimensions and their standard unit and
know how to convert between units.
The Main Areas of Physics
Physics can be broken down into seven main categories:
Name The study of...
Mechanics motion and its causes
Thermodynamics heat and temperature
Vibrations and Waves specific types of repetitive motions
Optics Light
Electromagnetism electricity, magnetism, and light
Relativity particles moving at any speed, relative to an
observer
Quantum Mechanics behavior of particles like protons, neutrons,
electrons, and even smaller things
Which area of physics would be the most
relevant to each of these situations?
o A high school football game
o Food preparation for the prom
o Playing in the school band
o Lightning in a thunderstorm
o Wearing a pair of sunglasses outside in the sun
Simplifying the Physical World
a
a
First identify the system you are attempting to study
System - set of items or interactions considered a distinct
physical entity for the purpose of study
Next, disregard all characteristics of the system that have little
to no effect on its motion.
At this point, we have constructed a model for our situation.
Model - a replica or description designed to show the structure
or workings of an object, system, or concept
What’s relevant if we want to study the ball’s motion?
AP Physics 1 - Introduction
AP Physics 1 - Introduction
Numbers as Measurements
• Numbers in math class can stand by themselves and be
meaningful
• In science, we need to give that number a dimension, or a
kind of physical measurement, in order to make it
meaningful.
• Three most common types of dimensions: length, mass,
time
SI Prefixes
The most common SI prefixes that we will use in this class are
listed below. You are responsible for memorizing these SI
prefixes.
Power Prefix Abbreviation
10-6 micro μ (pronounced mu)
10-3 milli m
10-2 centi c
103 kilo k
Converting Units
Steps for unit conversion:
1. Identify and write what you are converting from and what
unit you want to convert to.
2. Next, identify whether you have the information to convert
the unit.
3. If so, multiply the original unit by a conversion ratio.
4. Cancel units.
5. Multiply the numbers.
Sig Figs are NOT taken into account when completing a unit
conversion.
SHOW ME YOUR SKILLS!
Both Dimension and Units Must Agree!
• You cannot convert
from one type of unit
to another
• ex: mass to length
• Examples of
acceptable unit
conversions
• meters to miles
• seconds to hours
• If you are measuring a length, make sure your units are in
meters
Wrap Up
• What are the three basic dimensions, what units are most
commonly used to describe them?
• A typical radio wave has a period of 1 μs. Express this time
in seconds.
Objectives
The student will be able to:
• Distinguish between accuracy and precision
• Use significant figures in measurements and calculations
Accuracy and Precision
• Careful measurements are important in science
• No measurement is perfect
• Two terms that describe this imperfection:
• Accuracy: how close a reported measurement is to the
true value of the quantity measured
• Precision: the degree of exactness or refinement of a
measurement
Accuracy vs. Precision
Sources of Error
Problems with accuracy are due to error
• Human Error: Mistakes made in reading an instrument or
recording the results
• Method Error: When measurements are taken using
different methods
• Parallax: An overestimate or underestimate due to the
improper viewing of a measuring device
• Instrumental Error: Improperly displayed measurements
due to poorly calibrated devices
Precision and Significant Figures
• Significant figures (Sig Figs) describe the precision of a
measuring device
• Significant Figures: those digits in a measurement that are
known with certainty plus the first digit that is uncertain
Review of Sig Fig Rules
Zero Rules:
• Zeros between other nonzero digits are significant
• 50.3 m has three sig figs
• Zeros in front of nonzero digits are not significant
• 0.553 m has three sig figs
• Zeros that follow a nonzero digit and are before or after a
decimal point are significant
• 50.00 has four sig figs
LETS PLAY: THE SIG FIG IS RIGHT
Determine how many sig figs
are in the following quantities:
1. 5.03 x 101 m
2. 3.0025 s
3. 8.92 x 10-1 kg
4. 0.8 x 10-4 ms
5. 5.700 x 101 g
6. 2.000000 kg
7. 2,100 kg
8. 0.75 cm
SIG FIG
Rules For Calculating Sig Figs
• Addition and Subtraction:
• Final answer should have the same number of sig figs to
the right of the decimal place as the number with the
smallest number of digits to the right of the decimal
• Multiplication and Division:
• The final answer should have the same number of sig figs
as the measurement having the smallest number of sig
figs
Rounding Rules
Keep the same if…
• If the digit after the last sig fig is less than 5
Ex: 30.24  30.2
• If the last sig fig is even, and the next digit is a 5 with no
other nonzero digits
Ex: 31.45  31.4 or 31.6500  31.6
Round up if…
• If the digit after the last sig fig is greater than five
Ex: 42.67  42.7
• If the digit after the last sig fig is a 5 followed by other
nonzero digits
Ex: 76.45001  76.5
• If the last sig fig is odd, and the next digit is a 5 with no
other nonzero digits
Ex: 54.75  54.8 or 79.3500  79.4
LETS PLAY: THE SIG FIG IS RIGHT...
AGAIN! (Bob Barker demands it!)
Determine what the final answer
would look like after performing
the indicated operation for the
following questions:
1. 97.3 km + 5.85 km
2. 123 s • 5.35 s
3. 57 kg + 3.021 kg • 74.3 kg
SIG FIG
AGAIN
Wrap Up
Answer the following questions in your group:
• Why are significant figures important?
• What steps could an experimenter take to ensure that their
experiment is as accurate as possible?
Objectives
The student will be able to:
• Interpret data in tables and graphs, and recognize
equations that summarize data
• Use dimensional analysis to check the validity of
expressions
The Language of Physics
• Mathematical equations are used to describe physical
phenomenon
• Learning to read a mathematical formula is like learning a
new language
• For example:
Equation Simple English
ΣF = ma
A net force is the result of some mass
undergoing an acceleration.
Common Symbols
Symbol Meaning
Δ difference, change in
Σ sum, total
g acceleration due to gravity
x displacement
Textbook Shorthand Note
• Any symbol written in standard font is to be considered a
unit
• Any symbol written in italic font is considered to be a
variable
Evaluating Physics Expressions
• Dimensional Analysis: the process of evaluating dimensions
in an equation to determine its validity
• Rules of Dimensional Analysis
• Quantities can only be added or subtracted if they have
the same dimensions
• The two sides of any given equation must have the same
dimensions
• Any dimension can be multiplied or divided by another
dimension
Dimensional Analysis Example 1
• Determine whether or not the following equation is
dimensionally consistent.
• Where v is measured in meters/second, x is measured in
meters, and t is measured in seconds.
𝑣 =
𝑥
𝑡
• Determine whether or not the following equation is
dimensionally consistent.
• Where x is measured in meters, t is measured in seconds,
and a is measured in meters per second squared.
• Solve the above equation for a, and determine whether or
not your new equation is dimensionally consistent.
Dimensional Analysis Example 2
Δ𝑥 =
1
2
𝑎 ⋅ 𝑡2
Homework
p. 18 #1, 5, 10
p. 19 #1, 2a, 6, 7, 9, 17

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AP Physics 1 - Introduction

  • 1. Chapter 1: Intro to Physics
  • 2. Objectives The student will be able to: • Identify activities in fields that involve the major areas within physics. • Identify the basic dimensions and their standard unit and know how to convert between units.
  • 3. The Main Areas of Physics Physics can be broken down into seven main categories: Name The study of... Mechanics motion and its causes Thermodynamics heat and temperature Vibrations and Waves specific types of repetitive motions Optics Light Electromagnetism electricity, magnetism, and light Relativity particles moving at any speed, relative to an observer Quantum Mechanics behavior of particles like protons, neutrons, electrons, and even smaller things
  • 4. Which area of physics would be the most relevant to each of these situations? o A high school football game o Food preparation for the prom o Playing in the school band o Lightning in a thunderstorm o Wearing a pair of sunglasses outside in the sun
  • 5. Simplifying the Physical World a a First identify the system you are attempting to study System - set of items or interactions considered a distinct physical entity for the purpose of study Next, disregard all characteristics of the system that have little to no effect on its motion. At this point, we have constructed a model for our situation. Model - a replica or description designed to show the structure or workings of an object, system, or concept
  • 6. What’s relevant if we want to study the ball’s motion?
  • 9. Numbers as Measurements • Numbers in math class can stand by themselves and be meaningful • In science, we need to give that number a dimension, or a kind of physical measurement, in order to make it meaningful. • Three most common types of dimensions: length, mass, time
  • 10. SI Prefixes The most common SI prefixes that we will use in this class are listed below. You are responsible for memorizing these SI prefixes. Power Prefix Abbreviation 10-6 micro μ (pronounced mu) 10-3 milli m 10-2 centi c 103 kilo k
  • 11. Converting Units Steps for unit conversion: 1. Identify and write what you are converting from and what unit you want to convert to. 2. Next, identify whether you have the information to convert the unit. 3. If so, multiply the original unit by a conversion ratio. 4. Cancel units. 5. Multiply the numbers. Sig Figs are NOT taken into account when completing a unit conversion.
  • 12. SHOW ME YOUR SKILLS!
  • 13. Both Dimension and Units Must Agree! • You cannot convert from one type of unit to another • ex: mass to length • Examples of acceptable unit conversions • meters to miles • seconds to hours • If you are measuring a length, make sure your units are in meters
  • 14. Wrap Up • What are the three basic dimensions, what units are most commonly used to describe them? • A typical radio wave has a period of 1 μs. Express this time in seconds.
  • 15. Objectives The student will be able to: • Distinguish between accuracy and precision • Use significant figures in measurements and calculations
  • 16. Accuracy and Precision • Careful measurements are important in science • No measurement is perfect • Two terms that describe this imperfection: • Accuracy: how close a reported measurement is to the true value of the quantity measured • Precision: the degree of exactness or refinement of a measurement
  • 18. Sources of Error Problems with accuracy are due to error • Human Error: Mistakes made in reading an instrument or recording the results • Method Error: When measurements are taken using different methods • Parallax: An overestimate or underestimate due to the improper viewing of a measuring device • Instrumental Error: Improperly displayed measurements due to poorly calibrated devices
  • 19. Precision and Significant Figures • Significant figures (Sig Figs) describe the precision of a measuring device • Significant Figures: those digits in a measurement that are known with certainty plus the first digit that is uncertain
  • 20. Review of Sig Fig Rules Zero Rules: • Zeros between other nonzero digits are significant • 50.3 m has three sig figs • Zeros in front of nonzero digits are not significant • 0.553 m has three sig figs • Zeros that follow a nonzero digit and are before or after a decimal point are significant • 50.00 has four sig figs
  • 21. LETS PLAY: THE SIG FIG IS RIGHT Determine how many sig figs are in the following quantities: 1. 5.03 x 101 m 2. 3.0025 s 3. 8.92 x 10-1 kg 4. 0.8 x 10-4 ms 5. 5.700 x 101 g 6. 2.000000 kg 7. 2,100 kg 8. 0.75 cm SIG FIG
  • 22. Rules For Calculating Sig Figs • Addition and Subtraction: • Final answer should have the same number of sig figs to the right of the decimal place as the number with the smallest number of digits to the right of the decimal • Multiplication and Division: • The final answer should have the same number of sig figs as the measurement having the smallest number of sig figs
  • 23. Rounding Rules Keep the same if… • If the digit after the last sig fig is less than 5 Ex: 30.24  30.2 • If the last sig fig is even, and the next digit is a 5 with no other nonzero digits Ex: 31.45  31.4 or 31.6500  31.6 Round up if… • If the digit after the last sig fig is greater than five Ex: 42.67  42.7 • If the digit after the last sig fig is a 5 followed by other nonzero digits Ex: 76.45001  76.5 • If the last sig fig is odd, and the next digit is a 5 with no other nonzero digits Ex: 54.75  54.8 or 79.3500  79.4
  • 24. LETS PLAY: THE SIG FIG IS RIGHT... AGAIN! (Bob Barker demands it!) Determine what the final answer would look like after performing the indicated operation for the following questions: 1. 97.3 km + 5.85 km 2. 123 s • 5.35 s 3. 57 kg + 3.021 kg • 74.3 kg SIG FIG AGAIN
  • 25. Wrap Up Answer the following questions in your group: • Why are significant figures important? • What steps could an experimenter take to ensure that their experiment is as accurate as possible?
  • 26. Objectives The student will be able to: • Interpret data in tables and graphs, and recognize equations that summarize data • Use dimensional analysis to check the validity of expressions
  • 27. The Language of Physics • Mathematical equations are used to describe physical phenomenon • Learning to read a mathematical formula is like learning a new language • For example: Equation Simple English ΣF = ma A net force is the result of some mass undergoing an acceleration.
  • 28. Common Symbols Symbol Meaning Δ difference, change in Σ sum, total g acceleration due to gravity x displacement
  • 29. Textbook Shorthand Note • Any symbol written in standard font is to be considered a unit • Any symbol written in italic font is considered to be a variable
  • 30. Evaluating Physics Expressions • Dimensional Analysis: the process of evaluating dimensions in an equation to determine its validity • Rules of Dimensional Analysis • Quantities can only be added or subtracted if they have the same dimensions • The two sides of any given equation must have the same dimensions • Any dimension can be multiplied or divided by another dimension
  • 31. Dimensional Analysis Example 1 • Determine whether or not the following equation is dimensionally consistent. • Where v is measured in meters/second, x is measured in meters, and t is measured in seconds. 𝑣 = 𝑥 𝑡
  • 32. • Determine whether or not the following equation is dimensionally consistent. • Where x is measured in meters, t is measured in seconds, and a is measured in meters per second squared. • Solve the above equation for a, and determine whether or not your new equation is dimensionally consistent. Dimensional Analysis Example 2 Δ𝑥 = 1 2 𝑎 ⋅ 𝑡2
  • 33. Homework p. 18 #1, 5, 10 p. 19 #1, 2a, 6, 7, 9, 17

Editor's Notes

  • #11: There are many others, but the are infrequently used in this class.  If need be, a reference table is on the very last page on the textbook, as well as on page 12.
  • #12: Converting from one unit to another is an extremely important skill in this class.  It is also an extremely easy, as long as you follow these steps: Sample pg 14: 1,2
  • #14: When attempting to convert from one unit to another, make sure your dimensions are consistent. You cannot, for instance, convert from a measurement of length to mass. Also, make sure the units of measurement you are using to describe your dimension match the dimension itself.  In other words, if you are measuring a length, make sure your units are in meters!  If not, there is most likely an error in your calculation.
  • #17: It is important to note that the idea of accuracy is only applicable to an experiment where you are confirming an already known value. Experiments that are conducted that find a new value for some quantity cannot be accurate, because there is no original value to compare to.
  • #22: Answers: 1. 3 2. 5 3. 3 4. 1 5. 4 6. 7 7. 2 8. 2
  • #25: Remember to point out the order of operations and how it relates to the problems PEMDAS Parentheses Exponent Multiplication Division Addition Subtraction Answers: 1. 103.2 2. 658 3. 281