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)

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Solution

## 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, $h=\frac{P.E}{\left(m\right)\left(g\right)}\phantom{\rule{0ex}{0ex}}So,\phantom{\rule{0ex}{0ex}}h=\frac{7350}{\left(150\right)\left(9.8\right)}m\phantom{\rule{0ex}{0ex}}=\frac{7350}{1470}=\overline{)5\mathrm{m}}$

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