Q. 204.4( 5 Votes )

# 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 6.0 kg 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?

Answer :

Mass of the bucket containing paint, m = 6.0 kg

Initial height of the bucket from ground, h_{I} = 2.0 m

Final height of the bucket after falling, h_{F} = 0.0 m

Acceleration due to gravity, g = 9.8 m/s^{2}

Change in potential energy of the bucket = mg(h_{F}-h_{I})

= 6.0 × 9.8 × (0.0-2.0)

= -117.6 J

∴ Loss in gravitational potential energy = 117.6 J ≈118 J

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