a bucket of water 50 kg is raised from hundred metres to the ground by rope of weight 1kg per metre what i workdone
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work done = force × displacement = mass × acceleration × displacement = 50 × -9.8 × 100 = -49000 J = - 49KJ
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the weight of the bucket is nominal, you're bring up about 15 gallons of water. So it's a good idea to use the really big rope. Though, honestly, that rope should lift about 2 tons.
Now that I've confused you about the units. Work done (
W
) in this situation can be calculated knowing the mass lifted (
m
), how far it was lifted (
h
), and the strength of gravity (g).
W = mgh
There are two parts. The bucket and water are lifted 100 meters.
The center of mass of the rope is lifted 50 meters. The mass of the rope will be 100 kg.
W = 50 ⋅9.8 ⋅100+100 9.8⋅50. Nm
Now that I've confused you about the units. Work done (
W
) in this situation can be calculated knowing the mass lifted (
m
), how far it was lifted (
h
), and the strength of gravity (g).
W = mgh
There are two parts. The bucket and water are lifted 100 meters.
The center of mass of the rope is lifted 50 meters. The mass of the rope will be 100 kg.
W = 50 ⋅9.8 ⋅100+100 9.8⋅50. Nm
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