A block of mass 2kg is lifted through a chain. When block moves through 2m vertically the velocity becomes 4m/s. Work done by chain force until it moves 2m is: (g= 10m/s^-2)
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A block of mass 2 kg is lifted through a chain. When block moves through 2m vertically the velocity becomes 4 m/s.
We have to find the Work done by chain force until it moves 2m.
From work - energy theorem,
work done by chain = change in mechanical energy
= change in potential energy + change in kinetic energy
= mgh + 1/2 mv²
here,
- m = mass of chain = 2 kg
- g = acceleration due to gravity = 10 m/s²
- h = block lifted up to = 2 m
- v = velocity of block = 4m/s²
Work done by chain = 2 kg × 10 m/s² × 2m + 1/2 × 2 kg × (4m/s)²
= 40 J + 16 J
= 56 J
Therefore the world one by chain force until it moves is 56 J.
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