Question

Dane is holding an 8 kilogram box 2 metres above the ground. How much energy is in the box's gravitational potential energy store? Assume Dane is on Earth, where g = 10 N/kg.

Answer 1

156.8 Joules of energy is in the box's gravitational potential energy store

Explanation:

Given:

Mass of the box Dane is holding = 8 Kilograms

Height at which Dane is holding the box above the ground= 2 metres

To Find:

Gravitational potential energy in the box=?

Solution:

gravitational potential energy is the work done per mass on a object to move that object from one fixed location to to another location against gravity.Its unit is joules or J

Thus  Gravitational potential energy is  represented as,

$PE_g=mgh$

where

$PE_g$ is the gravitational potential energy

m is the mass

h is the height

g is the gravitational force( 9.8 $m/s^2$)

Now substituting the given values,

$PE_g=8\times 9.8\times 2$

$PE_g=156.8 Joules$