Question

To what height should a box of mass 150 kg be lifted, so that its potential energy may become 7350 joules? (g = 9.8 m/s²)

Answer 1

Mass of the box, (m) = 150 kg
Acceleration due to gravity, (g) = 9.8 m/s²
Potential energy, (P.E) = 7352 J
Let the height above the ground be (h)
We can calculate potential energy as,
(P.E) = (m)(g)(h)
So, height can be calculated as,
$$\begin{gathered} h=\frac{P.E}{\left(m\right)\left(g\right)} \\ So, \\ h=\frac{7350}{\left(150\right)(9.8)}m \\ =\frac{7350}{1470}=\boxed{5\mathrm{m}} \end{gathered}$$