9. You and your friend, who weighs the same as you, want to go to the top of the Eiffel Tower. Your friend takes the elevator straight up. You decide to walk dn. the spiral stairway, taking longer to do so. Compare the gravitational potential energy of you and your friend, after you both reach the top. O a. It is impossible to tell since you are not given the time it took to get to the top. b. Your friend's gravitational potential energy is more than yours, because he got to the top before you. c. Both of you have the same amount of potential energy at the top. d. Your gravitational potential energy is more because you traveled a greater distance to get to the top. e. It is impossible to tell, since the distances you both traveled is unknown.

9. You and your friend, who weighs the same as you, want to go to the top of the Eiffel Tower. Your friend takes the elevator straight up. You decide to walk dn. the spiral stairway, taking longer to do so. Compare the gravitational potential energy of you and your friend, after you both reach the top. O a. It is impossible to tell since you are not given the time it took to get to the top. b. Your friend's gravitational potential energy is more than yours, because he got to the top before you. c. Both of you have the same amount of potential energy at the top. d. Your gravitational potential energy is more because you traveled a greater distance to get to the top. e. It is impossible to tell, since the distances you both traveled is unknown.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 67PQ: The Earths perihelion distance (closest approach to the Sun) is rp = 1.48 1011 m, and its aphelion...

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The Earths perihelion distance (closest approach to the Sun) is rp = 1.48 1011 m, and its aphelion distance (farthest point) is rA = 1.52 1011 m. What is the change in the SunEarths gravitational potential energy as the Earth moves from aphelion to perihelion? What is the change in its gravitational potential energy from perihelion to aphelion?
(a) How much gravitational potential energy (relative to the ground on which it is built) is stored in the Great Pyramid of Cheops, given that its mass is about 7109 kg and its center of mass is 36.5 m above the surrounding ground? (b) How does this energy compare with the daily food intake of a person?
In each situation shown in Figure P8.12, a ball moves from point A to point B. Use the following data to find the change in the gravitational potential energy in each case. You can assume that the radius of the ball is negligible. a. h = 1.35 m, = 25, and m = 0.65 kg b. R = 33.5 m and m = 756 kg c. R = 33.5 m and m = 756 kg FIGURE P8.12 Problems 12, 13, and 14.
Review Return to Chapter 8 and the potential energy associated with both gravity near the surface of the Earth and universal gravity. a. What does the term reference configuration mean in the context of gravity? b. Suppose a system consists of an apple and the Earth, with the reference configuration set so that the systems gravitational potential energy is zero when the apple is on your desk. If the apple is above the desk, is the potential energy positive, negative, or zero? c. What is the conventional reference configuration for universal gravity? Why is that a convenient reference configuration? If a system consists of an apple and the Earth, does the systems gravitational potential energy increase, decrease, or stay the same as you raise the apple upward?
Explain why it is easier to climb a mountain on a zigzag path rather than one straight up the side. Is your increase in gravitational potential energy the same in both cases? Is your energy consumption the same in both?
. In the annual Empire State Building race, contestants run up 1,575 steps to a height of 1,050 ft. In 2003, Australian Paul Crake completed the race in a record time of 9 min and 33 S, Mr., Crake weighed 143 lb (65 kg) , (a) How much work did Mr., Crake do in reaching the top of the building? (b) What was his average power output (in ft-lb/s and in hp)?
A small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P8.43). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point . (c) its speed at point B, and (d) its kinetic energy and the potential energy when the block is at point . Figure P8.43 Problems 43 and 44.
One person drops a ball from the top of a building while another person at the bottom observes its motion. Will these two people agree (a) on the value of the gravitational potential energy of the ball-Earth system? (b) On the change in potential energy? (c) On the kinetic energy of the ball at some point in its motion?
A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos . Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W=Fdr, find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder. Figure P7.15