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Question

A small stone of man 0.2 kg tied to a massless inextensible string is rotated in a vertical circle of radius of 2 m. If the particle is just able to complete a vertical circle, what is the speed at the highest point of the circular path? Also, calculate speed if the mass of stone is increased by 50% (Take g=10 m/s2)

A
4.47 m/s,6.70 m/s
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B
4.47 m/s,10.05 m/s
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C
10.05 m/s,4.47 m/s
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D
4.47 m/s,4.47 m/s
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Solution

The correct option is D 4.47 m/s,4.47 m/s
Here m=0.2 kg,r=2 m
When particle is just able to complete a vertical circle,
Vtop=gR=10×2=4.47 m/s
As Vtop does not depends upon mass, it will remain same when mass increases by 50%.

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