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Question

# A stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1m. If tension at the highest point is 14N, then velocity at lowest point will be:

A
3 m/s
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B
4 m/s
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C
6 m/s
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D
8 m/s
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Solution

## The correct option is:C: 6 m/sMass of the stone, m=1kg Radius, r=1m Tension, T=14N Let v1 is velocityat the top point and v2 is at the bottom point.The tension at the top pointis:T=mv21r+mg 14=(1)v211+g⟹14=v21+10 v21=4⟹v1=2 So, total kinetic energy atthe bottom is:12mv22=(mgh)bottom+12mv2112mv22=20+2v22=44⟹v=√44=6.63ms−1

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