Question

If the force required to lift a box is equal to its weight, then

the gravitational potential energy of the box is equal to its
weight times the height to which it is lifted. A box has 400 J of
gravitational potential energy. If the box weighs 100 N, how
many meters above the ground is it?

Answer 1

Height, h = 4 m

Step-by-step explanation:

We have,

Gravitational potential energy of the box is 400 J

Weight of the box is 100 N. It means that the force acting on it is 100 N.

It is required to find the height above which it was placed.

The gravitational potential energy of the box is given by :

`E=mgh\\\\E=F* h\\\\h=(E)/(F)\\\\h=(400)/(100)\\\\h=4\ m`

So, the box is paced at a height of 4 meters.