8. The moon has about 1/6th the gravity of the Earth. How would the potential energy of an object be different on the moon if it

Question

3 years ago

15

was the same height above the ground? (5 pts)

1 answer:

topjm [15] · Answer 1 · 2022-05-22T19:16:55+03:00

The potential energy on the moon would be 1/6 of the potential energy on Earth

Explanation:

The potential energy of an object is the energy possessed by the object due to its position in a gravitational field, and it is given by

$PE=mgh$

where

m is the mass of the object

g is the strength of the gravitational field

h is the height of the object above the ground

In this problem, the potential energy of the object on the Earth is

$PE=mgh$

On the Moon, the gravity is

$g'=\frac{1}{6}g$

Therefore, if the same object (same mass) is placed at the same height $h$ on the Moon, its potential energy would be

$PE' = m(\frac{1}{6}g)h = \frac{1}{6}(mgh) = \frac{1}{6}PE'$

Learn more about potential energy:

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