13. A pump is used to lift 100 kg of water from a well 60 m deep, in 20 s. If force of gravity on 1 kg is 10 N, find : (a) work done by the pump (b) potential energy stored in the water (c) power spent by the pump (d) power rating of the pump. State the assumption if any. of Dee 0.51
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Given: mass = 100kg
displacement = 60m
time = 20s
acc due to gravity = on 1kg is 10N
1) force = 100 * 10
= 1000N
therefore , work done = force × displacemnt
= 1000 × 60
= 60,000 J
2) potential energy stored in water = mgh
= 100 × 10 × (60 ÷ 1000)
= 60 J
3) power spent by the pump = work/time
= 60,000/20
= 3000Js⁻
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