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Potential Energy of an Object at a Height

To what heigh...

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,
$h = \frac{P . E}{(m) (g)} S o, h = \frac{7350}{(150) (9.8)} m = \frac{7350}{1470} = 5 m$

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