Question

B. Calculate the rock's gravitational potential energy at 50 m, 20 m, 1 m, and om high. Put the

Answer 1

The gravitational potential energy of the rock is:

490 J at 50 m

196 J at 20 m

9.8 J at 1 m

Explanation:

The gravitational potential energy (GPE) of an object is the energy possessed by the object due to its position in the gravitational field.

For an object near the Earth's surface, the GPE is given by

$GPE=mgh$

where

m is the mass of the object

$g=9.8 m/s^2$ is the acceleration of gravity at Earth's surface

h is the heigth of the object relative to the ground

For the rock in  this problem,

m = 1 kg

So its GPE at h = 50 m is

$GPE(50)=(1)(9.8)(50)=490 J$

The GPE at h = 20 m is

$GPE(20)=(1)(9.8)(20)=196 J$

While the GPE at h = 1 m is

$GPE(1)=(1)(9.8)(1)=9.8 J$

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