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© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it  should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials. ConcepTest   PowerPoints Chapter 5 Physics: Principles with Applications, 6 th  edition Giancoli
ConcepTest 5.1   Tetherball In the game of tetherball, the struck ball whirls around a pole. In what direction does the  net force  on the ball point? 1)  toward the top of the pole 2)  toward the ground 3)  along the horizontal component of the tension force 4)  along the vertical component of the tension force 5)  tangential to the circle W T
In the game of tetherball, the struck ball whirls around a pole. In what direction does the  net force  on the ball point? ConcepTest 5.1   Tetherball The  vertical component of the tension  balances the  weight .  The  horizontal component of tension  provides the  centripetal force  that points toward the center of the circle. 1)  toward the top of the pole 2)  toward the ground 3)  along the horizontal component of the tension force 4)  along the vertical component of the tension force 5)  tangential to the circle W T W T
You are a passenger in a car, not wearing a seat belt.  The car makes a sharp left turn.  From your perspective in the car, what do you feel is happening to you? ConcepTest 5.2a   Around the Curve I (1)  you are thrown to the right (2)  you feel no particular change (3) you are thrown to the left (4) you are thrown to the ceiling (5)  you are thrown to the floor
You are a passenger in a car, not wearing a seat belt.  The car makes a sharp left turn.  From your perspective in the car, what do you feel is happening to you? ConcepTest 5.2a   Around the Curve I (1)  you are thrown to the right (2)  you feel no particular change (3) you are thrown to the left (4) you are thrown to the ceiling (5)  you are thrown to the floor The passenger has the tendency to continue moving in a straight line.  From your perspective in the car, it feels like you are being thrown to the right, hitting the passenger door.
During that sharp left turn, you found yourself hitting the passenger door.  What is the correct description of what is actually happening? ConcepTest 5.2b   Around the Curve II (1)  centrifugal force is pushing you into the door (2)  the door is exerting a leftward force on you (3)  both of the above (4)  neither of the above
During that sharp left turn, you found yourself hitting the passenger door.  What is the correct description of what is actually happening? ConcepTest 5.2b   Around the Curve II (1)  centrifugal force is pushing you into the door (2)  the door is exerting a leftward force on you (3)  both of the above (4)  neither of the above The passenger has the tendency to continue moving in a straight line.  There is a centripetal force, provided by the door, that forces the passenger into a circular path.
ConcepTest 5.3   Missing Link A ping pong ball is shot into a circular tube that is lying flat (horizontal) on a tabletop. When the ping pong ball leaves the track,  which path will it follow ? 1 2 3 5 4
ConcepTest 5.3   Missing Link A ping pong ball is shot into a circular tube that is lying flat (horizontal) on a tabletop. When the ping pong ball leaves the track,  which path will it follow ? Once the ball leaves the tube, there is no longer a force to keep it going in a circle.  Therefore, it simply continues in a straight line, as Newton’s First Law requires! Follow-up:   What physical force provides the centripetal force? 1 2 3 5 4
ConcepTest 5.4   Ball and String Two equal-mass rocks tied to strings are whirled in horizontal circles.  The  radius  of circle 2 is  twice  that of circle 1.  If the  period  of motion is the  same  for both rocks,  what is the tension in cord 2 compared to cord 1 ? 1)  T 2   =  1/4  T 1 2)  T 2   =  1/2  T 1 3)  T 2   =  T 1 4)  T 2   =  2  T 1 5)  T 2   =  4  T 1 1 2
ConcepTest 5.4   Ball and String Two equal-mass rocks tied to strings are whirled in horizontal circles.  The  radius  of circle 2 is  twice  that of circle 1.  If the  period  of motion is the  same  for both rocks,  what is the tension in cord 2 compared to cord 1 ? The centripetal force in this case is given by the tension, so  T  =  mv 2 / r .  For the same period, we find that  v 2  = 2 v 1  (and this term is squared).  However, for the denominator, we see that  r 2  = 2 r 1  which gives us the relation  T 2  = 2 T 1 . 1)  T 2   =  1/4  T 1 2)  T 2   =  1/2  T 1 3)  T 2   =  T 1 4)  T 2   =  2  T 1 5)  T 2   =  4  T 1 1 2
ConcepTest 5.5   Barrel of Fun A rider in a “barrel of fun” finds herself stuck with her back to the wall.  Which diagram correctly shows the forces acting on her? 1 2 3 4 5
ConcepTest 5.5   Barrel of Fun A rider in a “barrel of fun” finds herself stuck with her back to the wall.  Which diagram correctly shows the forces acting on her? The  normal force  of the wall on the rider provides the  centripetal force  needed to keep her going around in a circle.  The  downward force of gravity is balanced by the upward frictional force  on her, so she does not slip vertically. Follow-up:   What happens if the rotation of the ride slows down? 1 2 3 4 5
ConcepTest 5.6a   Going in Circles I You’re on a Ferris wheel moving in a vertical circle. When the Ferris wheel is at rest, the  normal force  N  exerted by your seat is equal to your  weight  mg .  How does  N  change at the top of the Ferris wheel when you are in motion? 1)  N  remains equal to  mg 2)  N  is smaller than  mg 3)  N  is larger than  mg 4) None of the above
ConcepTest 5.6a   Going in Circles I You’re on a Ferris wheel moving in a vertical circle. When the Ferris wheel is at rest, the  normal force  N  exerted by your seat is equal to your  weight  mg .  How does  N  change at the top of the Ferris wheel when you are in motion? 1)  N  remains equal to  mg 2)  N  is smaller than  mg 3)  N  is larger than  mg 4) None of the above You are in circular motion, so there has to be a centripetal force pointing  inward .  At the top, the only two forces are  mg  (down)  and  N  (up) , so  N  must be smaller than  mg .   Follow-up:   Where is  N  larger than  mg ?
A skier goes over a small round hill with radius  R .  Since she is in circular motion, there has to be a  centripetal force.   At the top of the hill, what is  F c  of the skier equal to? ConcepTest 5.6b   Going in Circles II 1)  F c   =  N  +  mg 2)  F c   =  mg  –  N 3)  F c   =  T  +  N  –  mg 4)  F c   =  N 5)  F c   =  mg R v
A skier goes over a small round hill with radius R.  Since she is in circular motion, there has to be a  centripetal force.   At the top of the hill, what is  F c  of the skier equal to? ConcepTest 5.6b   Going in Circles II R v F c  points toward the center of the circle,  i.e ., downward in this case.   The  weight vector  points  down  and the  normal force  (exerted by the hill) points  up .  The magnitude of the net force, therefore, is:  F c   =  mg  –  N m g N Follow-up:   What happens when the skier goes into a small dip? 1)  F c   =  N  +  mg 2)  F c   =  mg  –  N 3)  F c   =  T  +  N  –  mg 4)  F c   =  N 5)  F c   =  mg
You swing a ball at the end of  string in a vertical circle.  Since the ball is in circular motion there has to be a  centripetal force.   At the top of the ball’s path, what is  F c  equal to? ConcepTest 5.7c   Going in Circles III 1)  F c   =  T  –  mg 2)  F c   =  T  +  N  –  mg 3)  F c   =  T  +  mg 4)  F c   =  T  5)  F c   =  mg R v top
You swing a ball at the end of  string in a vertical circle.  Since the ball is in circular motion there has to be a  centripetal force.   At the top of the ball’s path, what is  F c  equal to? ConcepTest 5.7c   Going in Circles III R v T m g   F c  points toward the center of the circle,  i.e . downward in this case.   The  weight vector  points  down  and the  tension   (exerted by the string) also points  down .  The magnitude of the net force, therefore, is:  F c   =  T  +  mg Follow-up:   What is  F c  at the bottom of the ball’s path? 1)  F c   =  T  –  mg 2)  F c   =  T  +  N  –  mg 3)  F c   =  T  +  mg 4)  F c   =  T  5)  F c   =  mg
ConcepTest 5.8a   Earth and Moon I Which is stronger, Earth’s pull on the Moon, or the Moon’s pull on Earth?   1)  the Earth pulls harder on the Moon 2)  the Moon pulls harder on the Earth 3)  they pull on each other equally 4)  there is no force between the Earth and the Moon 5) it depends upon where the Moon is in its orbit at that time
ConcepTest 5.8a   Earth and Moon I Which is stronger, Earth’s pull on the Moon, or the Moon’s pull on Earth?   By Newton’s 3 rd  Law, the forces are equal and opposite. 1)  the Earth pulls harder on the Moon 2)  the Moon pulls harder on the Earth 3)  they pull on each other equally 4)  there is no force between the Earth and the Moon 5) it depends upon where the Moon is in its orbit at that time
ConcepTest 5.8b   Earth and Moon II If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: 1)  one quarter 2)  one half 3)  the same 4)  two times 5)  four times
ConcepTest 5.8b   Earth and Moon II If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: The gravitational force depends inversely on the distance squared.  So if you  increase  the  distance  by a factor of  2 , the  force  will  decrease  by a factor of  4 . 1)  one quarter 2)  one half 3)  the same 4)  two times 5)  four times Follow-up:   What distance would  increase  the force by a factor of  2 ?
ConcepTest 5.9   Fly Me Away You weigh yourself on a scale inside an airplane that is flying with constant speed at an  altitude of 20,000 feet .  How does your measured weight in the airplane compare with your weight as measured on the surface of the Earth?   1)  greater than 2)  less than 3)  same
ConcepTest 5.9   Fly Me Away You weigh yourself on a scale inside an airplane that is flying with constant speed at an  altitude of 20,000 feet .  How does your measured weight in the airplane compare with your weight as measured on the surface of the Earth?   1)  greater than 2)  less than 3)  same At a high altitude, you are farther away from the center of Earth.  Therefore, the gravitational force in the airplane will be less than the force that you would experience on the surface of the Earth.
ConcepTest 5.10   Two Satellites Two satellites A and B of the same mass are going around Earth in concentric orbits.  The distance of satellite B from Earth’s center is twice that of satellite A.  What is the  ratio  of the centripetal force acting on B compared to that acting on A? 1)  1/8 2)  1/4 3)  1/2 4)  it’s the same 5)  2
ConcepTest 5.10   Two Satellites Two satellites A and B of the same mass are going around Earth in concentric orbits.  The distance of satellite B from Earth’s center is twice that of satellite A.  What is the  ratio  of the centripetal force acting on B compared to that acting on A? Using the Law of Gravitation:    we find that the ratio is 1/4. 1)  1/8 2)  1/4 3)  1/2 4)  it’s the same 5)  2 Note the  1/ r 2  factor
ConcepTest 5.11   Averting Disaster The Moon does not crash into Earth because: 1) it’s in Earth’s gravitational field 2) the net force on it is zero 3) it is beyond the main pull of Earth’s gravity 4) it’s being pulled by the Sun as well as by Earth 5) none of the above
ConcepTest 5.11   Averting Disaster The Moon does not crash into Earth because: The Moon does not crash into Earth because of its high speed.  If it stopped moving, it would, of course, fall directly into Earth.  With its high speed, the Moon would fly off into space if it weren’t for gravity providing the centripetal force.   1) it’s in Earth’s gravitational field 2) the net force on it is zero 3) it is beyond the main pull of Earth’s gravity 4) it’s being pulled by the Sun as well as by Earth 5) none of the above Follow-up:   What happens to a satellite orbiting Earth as it slows?
ConcepTest 5.12   In the Space Shuttle Astronauts in the space shuttle float because: 1) They are so far from Earth that Earth’s gravity doesn’t act any more. 2) Gravity’s force pulling them inward is cancelled by the centripetal force pushing them outward. 3) While gravity is trying to pull them inward, they are trying to continue on a straight-line path. 4) Their weight is reduced in space so the force of gravity is much weaker.
ConcepTest 5.12   In the Space Shuttle Astronauts in the space shuttle float because: Astronauts in the space shuttle float because they are in “free fall” around Earth, just like a satellite or the Moon.  Again, it is gravity that provides the centripetal force that keeps them in circular motion. 1) They are so far from Earth that Earth’s gravity doesn’t act any more. 2) Gravity’s force pulling them inward is cancelled by the centripetal force pushing them outward. 3) While gravity is trying to pull them inward, they are trying to continue on a straight-line path. 4) Their weight is reduced in space so the force of gravity is much weaker. Follow-up:   How weak is the value of  g  at an altitude of  300 km ?
ConcepTest 5.13   Guess My Weight If you weigh yourself at the equator of Earth, would you get a bigger, smaller, or similar value than if you weigh yourself at one of the poles?   1)  bigger value 2)  smaller value 3)  same value
ConcepTest 5.13   Guess my Weight If you weigh yourself at the equator of Earth, would you get a bigger, smaller, or similar value than if you weigh yourself at one of the poles?   1)  bigger value 2)  smaller value 3)  same value The weight that a scale reads is the  normal force  exerted by the floor (or the scale).  At the equator,  you are in circular motion , so there must be a  net inward force  toward Earth’s center.  This means that the  normal force must be slightly less than  mg .  So the scale would register something less than your actual weight.
ConcepTest 5.14   Force Vectors A planet of  mass  m  is a  distance  d  from Earth.  Another planet of  mass 2 m  is a  distance 2 d  from Earth.  Which force vector best represents the direction of the  total gravitation force  on Earth? 1 2 3 4 5 2 d d 2 m m Earth
ConcepTest 5.14   Force Vectors The force of gravity on the Earth due to  m  is  greater  than the force due to  2 m , which means that the force component pointing down in the figure is greater than the component pointing to the right. F 2m = GM E ( 2 m ) / ( 2 d ) 2  =  1/2 GM m  /  d 2   F m = GM E   m  /  d 2   =  GM m  /  d 2   A planet of  mass  m  is a  distance d  from Earth.  Another planet of  mass 2 m  is a  distance 2 d  from Earth.  Which force vector best represents the direction of the  total gravitation force  on Earth? 1 2 3 4 5 2 d d 2 m m

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P P A6 Concep Tests Ch 05

  • 1. © 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials. ConcepTest PowerPoints Chapter 5 Physics: Principles with Applications, 6 th edition Giancoli
  • 2. ConcepTest 5.1 Tetherball In the game of tetherball, the struck ball whirls around a pole. In what direction does the net force on the ball point? 1) toward the top of the pole 2) toward the ground 3) along the horizontal component of the tension force 4) along the vertical component of the tension force 5) tangential to the circle W T
  • 3. In the game of tetherball, the struck ball whirls around a pole. In what direction does the net force on the ball point? ConcepTest 5.1 Tetherball The vertical component of the tension balances the weight . The horizontal component of tension provides the centripetal force that points toward the center of the circle. 1) toward the top of the pole 2) toward the ground 3) along the horizontal component of the tension force 4) along the vertical component of the tension force 5) tangential to the circle W T W T
  • 4. You are a passenger in a car, not wearing a seat belt. The car makes a sharp left turn. From your perspective in the car, what do you feel is happening to you? ConcepTest 5.2a Around the Curve I (1) you are thrown to the right (2) you feel no particular change (3) you are thrown to the left (4) you are thrown to the ceiling (5) you are thrown to the floor
  • 5. You are a passenger in a car, not wearing a seat belt. The car makes a sharp left turn. From your perspective in the car, what do you feel is happening to you? ConcepTest 5.2a Around the Curve I (1) you are thrown to the right (2) you feel no particular change (3) you are thrown to the left (4) you are thrown to the ceiling (5) you are thrown to the floor The passenger has the tendency to continue moving in a straight line. From your perspective in the car, it feels like you are being thrown to the right, hitting the passenger door.
  • 6. During that sharp left turn, you found yourself hitting the passenger door. What is the correct description of what is actually happening? ConcepTest 5.2b Around the Curve II (1) centrifugal force is pushing you into the door (2) the door is exerting a leftward force on you (3) both of the above (4) neither of the above
  • 7. During that sharp left turn, you found yourself hitting the passenger door. What is the correct description of what is actually happening? ConcepTest 5.2b Around the Curve II (1) centrifugal force is pushing you into the door (2) the door is exerting a leftward force on you (3) both of the above (4) neither of the above The passenger has the tendency to continue moving in a straight line. There is a centripetal force, provided by the door, that forces the passenger into a circular path.
  • 8. ConcepTest 5.3 Missing Link A ping pong ball is shot into a circular tube that is lying flat (horizontal) on a tabletop. When the ping pong ball leaves the track, which path will it follow ? 1 2 3 5 4
  • 9. ConcepTest 5.3 Missing Link A ping pong ball is shot into a circular tube that is lying flat (horizontal) on a tabletop. When the ping pong ball leaves the track, which path will it follow ? Once the ball leaves the tube, there is no longer a force to keep it going in a circle. Therefore, it simply continues in a straight line, as Newton’s First Law requires! Follow-up: What physical force provides the centripetal force? 1 2 3 5 4
  • 10. ConcepTest 5.4 Ball and String Two equal-mass rocks tied to strings are whirled in horizontal circles. The radius of circle 2 is twice that of circle 1. If the period of motion is the same for both rocks, what is the tension in cord 2 compared to cord 1 ? 1) T 2 = 1/4 T 1 2) T 2 = 1/2 T 1 3) T 2 = T 1 4) T 2 = 2 T 1 5) T 2 = 4 T 1 1 2
  • 11. ConcepTest 5.4 Ball and String Two equal-mass rocks tied to strings are whirled in horizontal circles. The radius of circle 2 is twice that of circle 1. If the period of motion is the same for both rocks, what is the tension in cord 2 compared to cord 1 ? The centripetal force in this case is given by the tension, so T = mv 2 / r . For the same period, we find that v 2 = 2 v 1 (and this term is squared). However, for the denominator, we see that r 2 = 2 r 1 which gives us the relation T 2 = 2 T 1 . 1) T 2 = 1/4 T 1 2) T 2 = 1/2 T 1 3) T 2 = T 1 4) T 2 = 2 T 1 5) T 2 = 4 T 1 1 2
  • 12. ConcepTest 5.5 Barrel of Fun A rider in a “barrel of fun” finds herself stuck with her back to the wall. Which diagram correctly shows the forces acting on her? 1 2 3 4 5
  • 13. ConcepTest 5.5 Barrel of Fun A rider in a “barrel of fun” finds herself stuck with her back to the wall. Which diagram correctly shows the forces acting on her? The normal force of the wall on the rider provides the centripetal force needed to keep her going around in a circle. The downward force of gravity is balanced by the upward frictional force on her, so she does not slip vertically. Follow-up: What happens if the rotation of the ride slows down? 1 2 3 4 5
  • 14. ConcepTest 5.6a Going in Circles I You’re on a Ferris wheel moving in a vertical circle. When the Ferris wheel is at rest, the normal force N exerted by your seat is equal to your weight mg . How does N change at the top of the Ferris wheel when you are in motion? 1) N remains equal to mg 2) N is smaller than mg 3) N is larger than mg 4) None of the above
  • 15. ConcepTest 5.6a Going in Circles I You’re on a Ferris wheel moving in a vertical circle. When the Ferris wheel is at rest, the normal force N exerted by your seat is equal to your weight mg . How does N change at the top of the Ferris wheel when you are in motion? 1) N remains equal to mg 2) N is smaller than mg 3) N is larger than mg 4) None of the above You are in circular motion, so there has to be a centripetal force pointing inward . At the top, the only two forces are mg (down) and N (up) , so N must be smaller than mg . Follow-up: Where is N larger than mg ?
  • 16. A skier goes over a small round hill with radius R . Since she is in circular motion, there has to be a centripetal force. At the top of the hill, what is F c of the skier equal to? ConcepTest 5.6b Going in Circles II 1) F c = N + mg 2) F c = mg – N 3) F c = T + N – mg 4) F c = N 5) F c = mg R v
  • 17. A skier goes over a small round hill with radius R. Since she is in circular motion, there has to be a centripetal force. At the top of the hill, what is F c of the skier equal to? ConcepTest 5.6b Going in Circles II R v F c points toward the center of the circle, i.e ., downward in this case. The weight vector points down and the normal force (exerted by the hill) points up . The magnitude of the net force, therefore, is: F c = mg – N m g N Follow-up: What happens when the skier goes into a small dip? 1) F c = N + mg 2) F c = mg – N 3) F c = T + N – mg 4) F c = N 5) F c = mg
  • 18. You swing a ball at the end of string in a vertical circle. Since the ball is in circular motion there has to be a centripetal force. At the top of the ball’s path, what is F c equal to? ConcepTest 5.7c Going in Circles III 1) F c = T – mg 2) F c = T + N – mg 3) F c = T + mg 4) F c = T 5) F c = mg R v top
  • 19. You swing a ball at the end of string in a vertical circle. Since the ball is in circular motion there has to be a centripetal force. At the top of the ball’s path, what is F c equal to? ConcepTest 5.7c Going in Circles III R v T m g F c points toward the center of the circle, i.e . downward in this case. The weight vector points down and the tension (exerted by the string) also points down . The magnitude of the net force, therefore, is: F c = T + mg Follow-up: What is F c at the bottom of the ball’s path? 1) F c = T – mg 2) F c = T + N – mg 3) F c = T + mg 4) F c = T 5) F c = mg
  • 20. ConcepTest 5.8a Earth and Moon I Which is stronger, Earth’s pull on the Moon, or the Moon’s pull on Earth? 1) the Earth pulls harder on the Moon 2) the Moon pulls harder on the Earth 3) they pull on each other equally 4) there is no force between the Earth and the Moon 5) it depends upon where the Moon is in its orbit at that time
  • 21. ConcepTest 5.8a Earth and Moon I Which is stronger, Earth’s pull on the Moon, or the Moon’s pull on Earth? By Newton’s 3 rd Law, the forces are equal and opposite. 1) the Earth pulls harder on the Moon 2) the Moon pulls harder on the Earth 3) they pull on each other equally 4) there is no force between the Earth and the Moon 5) it depends upon where the Moon is in its orbit at that time
  • 22. ConcepTest 5.8b Earth and Moon II If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: 1) one quarter 2) one half 3) the same 4) two times 5) four times
  • 23. ConcepTest 5.8b Earth and Moon II If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: The gravitational force depends inversely on the distance squared. So if you increase the distance by a factor of 2 , the force will decrease by a factor of 4 . 1) one quarter 2) one half 3) the same 4) two times 5) four times Follow-up: What distance would increase the force by a factor of 2 ?
  • 24. ConcepTest 5.9 Fly Me Away You weigh yourself on a scale inside an airplane that is flying with constant speed at an altitude of 20,000 feet . How does your measured weight in the airplane compare with your weight as measured on the surface of the Earth? 1) greater than 2) less than 3) same
  • 25. ConcepTest 5.9 Fly Me Away You weigh yourself on a scale inside an airplane that is flying with constant speed at an altitude of 20,000 feet . How does your measured weight in the airplane compare with your weight as measured on the surface of the Earth? 1) greater than 2) less than 3) same At a high altitude, you are farther away from the center of Earth. Therefore, the gravitational force in the airplane will be less than the force that you would experience on the surface of the Earth.
  • 26. ConcepTest 5.10 Two Satellites Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth’s center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A? 1) 1/8 2) 1/4 3) 1/2 4) it’s the same 5) 2
  • 27. ConcepTest 5.10 Two Satellites Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth’s center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A? Using the Law of Gravitation: we find that the ratio is 1/4. 1) 1/8 2) 1/4 3) 1/2 4) it’s the same 5) 2 Note the 1/ r 2 factor
  • 28. ConcepTest 5.11 Averting Disaster The Moon does not crash into Earth because: 1) it’s in Earth’s gravitational field 2) the net force on it is zero 3) it is beyond the main pull of Earth’s gravity 4) it’s being pulled by the Sun as well as by Earth 5) none of the above
  • 29. ConcepTest 5.11 Averting Disaster The Moon does not crash into Earth because: The Moon does not crash into Earth because of its high speed. If it stopped moving, it would, of course, fall directly into Earth. With its high speed, the Moon would fly off into space if it weren’t for gravity providing the centripetal force. 1) it’s in Earth’s gravitational field 2) the net force on it is zero 3) it is beyond the main pull of Earth’s gravity 4) it’s being pulled by the Sun as well as by Earth 5) none of the above Follow-up: What happens to a satellite orbiting Earth as it slows?
  • 30. ConcepTest 5.12 In the Space Shuttle Astronauts in the space shuttle float because: 1) They are so far from Earth that Earth’s gravity doesn’t act any more. 2) Gravity’s force pulling them inward is cancelled by the centripetal force pushing them outward. 3) While gravity is trying to pull them inward, they are trying to continue on a straight-line path. 4) Their weight is reduced in space so the force of gravity is much weaker.
  • 31. ConcepTest 5.12 In the Space Shuttle Astronauts in the space shuttle float because: Astronauts in the space shuttle float because they are in “free fall” around Earth, just like a satellite or the Moon. Again, it is gravity that provides the centripetal force that keeps them in circular motion. 1) They are so far from Earth that Earth’s gravity doesn’t act any more. 2) Gravity’s force pulling them inward is cancelled by the centripetal force pushing them outward. 3) While gravity is trying to pull them inward, they are trying to continue on a straight-line path. 4) Their weight is reduced in space so the force of gravity is much weaker. Follow-up: How weak is the value of g at an altitude of 300 km ?
  • 32. ConcepTest 5.13 Guess My Weight If you weigh yourself at the equator of Earth, would you get a bigger, smaller, or similar value than if you weigh yourself at one of the poles? 1) bigger value 2) smaller value 3) same value
  • 33. ConcepTest 5.13 Guess my Weight If you weigh yourself at the equator of Earth, would you get a bigger, smaller, or similar value than if you weigh yourself at one of the poles? 1) bigger value 2) smaller value 3) same value The weight that a scale reads is the normal force exerted by the floor (or the scale). At the equator, you are in circular motion , so there must be a net inward force toward Earth’s center. This means that the normal force must be slightly less than mg . So the scale would register something less than your actual weight.
  • 34. ConcepTest 5.14 Force Vectors A planet of mass m is a distance d from Earth. Another planet of mass 2 m is a distance 2 d from Earth. Which force vector best represents the direction of the total gravitation force on Earth? 1 2 3 4 5 2 d d 2 m m Earth
  • 35. ConcepTest 5.14 Force Vectors The force of gravity on the Earth due to m is greater than the force due to 2 m , which means that the force component pointing down in the figure is greater than the component pointing to the right. F 2m = GM E ( 2 m ) / ( 2 d ) 2 = 1/2 GM m / d 2 F m = GM E m / d 2 = GM m / d 2 A planet of mass m is a distance d from Earth. Another planet of mass 2 m is a distance 2 d from Earth. Which force vector best represents the direction of the total gravitation force on Earth? 1 2 3 4 5 2 d d 2 m m