3. A 1.0 kg book initially at rest falls from a height of 1.5 m to the floor. (a) Set the origin of the coordinate system at the floor and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work. PE PE, APE (b) Set the origin of the coordinate system at the starting point, 1.5 m above the floor, and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work.

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Chapter1: Units, Trigonometry. And Vectors
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Figure 9.10: An athlete exerts a force on a soccer ball as a function of distance.
3. A 1.0 kg book initially at rest falls from a height of 1.5 m to the floor.
(a) Set the origin of the coordinate system at the floor and calculate the initial gravitational potential energy, the final
gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show
your work.
PE
PE,
APE
(b) Set the origin of the coordinate system at the starting point, 1.5 m above the floor, and calculate the initial gravitational
potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the
gravitational potential energy. Show your work.
PE,
PE,
APE
(c) Docs the gravitational potential energy at the initial and final points depend upon the location of the origin of the coordinate
system?
(d) Does the change in gravitational potential energy depend on the location of the origin of the coordinate system?
(e) Use conservation of mechanical energy and show symbolically (use variables, not numbers, other than %) that the final speed
of the book depends on the change in gravitational potential energy, and hence is independent of your choice of coordinate
system origin.
Transcribed Image Text:Figure 9.10: An athlete exerts a force on a soccer ball as a function of distance. 3. A 1.0 kg book initially at rest falls from a height of 1.5 m to the floor. (a) Set the origin of the coordinate system at the floor and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work. PE PE, APE (b) Set the origin of the coordinate system at the starting point, 1.5 m above the floor, and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work. PE, PE, APE (c) Docs the gravitational potential energy at the initial and final points depend upon the location of the origin of the coordinate system? (d) Does the change in gravitational potential energy depend on the location of the origin of the coordinate system? (e) Use conservation of mechanical energy and show symbolically (use variables, not numbers, other than %) that the final speed of the book depends on the change in gravitational potential energy, and hence is independent of your choice of coordinate system origin.
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