Question

a 24 kg rock containing 3,528 j of potential energy rests upon the edge of a cliff how tall is the cliff

Answer 1

Potential gravitational energy is computed with the formula:


`PEgrav=mgh`

Where:
PEgrav = Potential gravitation energy (J)
m = mass (kg)
h = height (m)
g = acceleration due to gravity (9.8m/s^2)

Take note that acceleration due to gravity is a constant.

All you need to do is put in what you know and solve for what you don't know. So your given is the following:
PEgrav = 3,528J
m = 24 kg
g = 9.8 m/s^2
Put that into your formula:

`PEgrav=mgh`

`3,528J = (24kg)(9.8m/s^(2))(h)`

`3,528J = (235.2kg.m/s^(2))(h)`

`(3,528J)/(235.2kg.m/s^(2)) = h`

`15m=h`

The height of the cliff is 15m.