A box of mass 300 kg has gravitational potential energy stored in it equal to 29400 J. Find the height of the box above the ground.

(Take g = 9.8 N kg^-1)

Given,

Mass of box = 300 Kg

Gravitational potential energy = 29400 J

We know,

Gravitational potential energy = mgh

Therefore,

$h = \dfrac{\text{Gravitational P.E.}}{\text{mass} \times \text{gravity}}$

Substituting the values in formula we get,

$\text{height} = \dfrac{29400}{300 \times 9.8} \\[1em] \Rightarrow \text{height} = \dfrac{29400}{2940} \\[1em] \Rightarrow \text{height} = 10\text{ m}$