A boy of mass $50 k g$ climbs up a vertical height of $100 m$ . Calculate the amount of potential energy he gains.

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Solution

Given,
Mass of the boy, $m = 50 k g$
Height, $h = 100 m$
Acceleration due to gravity, $a = g = 9.8 m / s^{2}$

Force, $F = m \times a$
$F = m \times g$
$F = 50 \times 9.8$
$F = 490 N$

Work done, $W = F o r c e \times d i s p l a c e m e n t$
$W = 490 \times 100$
$W = 49000 J$

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