   Chapter 5, Problem 14CQ

Chapter
Section
Textbook Problem

Two stones, one with twice the mass of the other, are thrown straight up and rise to the same height h. Compare their changes in gravitational potential energy (choose one): (a) They rise to the same height, so the stone with twice the mass has twice the change in gravitational potential energy. (b) They rise to the same height, so they have the same change in gravitational potential energy. (c) The answer depends on their speeds at height h.

To determine
The change in gravitational potential energy of the two stones.

Explanation

Given Info:

Two stones, one with twice the mass of the other are thrown straight up to a same height.

Formula to calculate the gravitational potential energy is,

PEg=mg(Δh)

• m is the mass of the stone
• g is the acceleration due to gravity
• Δh is the change in height

Since, the gravitational potential energy is directly proportional to the mass of the stone, the stone with twice the mass has twice the change in gravitational potential energy

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