A person is painting the walls of his house. He stands on a ladder with a bucket containing paint in one hand and a brush in the other. Suddenly the bucket slips from his hand and falls to the floor. If the bucket with the paint had a mass of 6 kg and was at a height of 2 m at the time it slipped, how much gravitational potential energy was lost together with the paint?

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Solution

Given:
$Mass of the bucket with the paint, m = 6 kg Height at which the bucket is placed, h = 2 m Potential energy of the b u c k e t w i t h t h e p a i n t at the given height, P . E . = m g h = 6 \times (9.8) \times 2 = 117.6 J P . E . on the floor = 0 Loss in potential energy = 117.6 - 0 = 117.6 J \approx 118 J$

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Given: Mass of the bucket with the paint, m=6 kgHeight at which the bucket is placed, h=2 mPotential energy of the bucket with the paint at the given height,P.E.=mgh =6×9.8×2 =117.6 JP.E. on the floor=0Loss in potential energy=117.6-0=117.6 J≈118 J