A person is painting his house walls. He stands on a ladder with a bucket containing paint in one hand and a brush in other. Suddenly the bucket slips from his hand and falls down on the floor. If the bucket with the paint had a mass of $0.6 k g$ and was at a height of $2.0 m$ at the time it slipped, how much gravitational potential energy is lost together with the paint?

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Solution

Mass of the bucket with the paint, $m = 0.6 k g$
Height at which the bucket is placed, $h = 2 m$
Potential energy of the bucket with the paint at the given height,
$P . E . = m g h$
$= 0.6 \times (9.8) \times 2$
$= 11.76 J$
P.E. on the floor $= 0$
Loss in potential energy $= 11.76 - 0 = 11.76 J \approx 12 J$

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