A 0.19-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well has a depth of 5.3 m.(a) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released?(b) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well?(c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?

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Asked Dec 11, 2019
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A 0.19-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well has a depth of 5.3 m.
(a) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released?
(b) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well?
(c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?
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A 0.19-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. The well has a depth of 5.3 m. (a) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released? (b) Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well? (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?

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Expert Answer

Step 1

(a) The gravitational potential energy of the stone-Earth system before the stone is released is

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[1] PE, = mgħ =(0.19kg)(9.8 m/s' )(1.2m) = 2.234 J

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Step 2

(b) The gravitational potential energy of the stone-Earth...

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[2] PE, = mgh, = (0.19kg) (9.8m/s')(-5.3m) = -9.868J

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