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Question

A mass of 10 gm. moving horizontally with a velocity of 100cm/sec, strikes the bob of a pendulum and sticks to it. The mass of the bob is also 10 gm. The maximum height to which the system can be raised is (g=10m/sec2)
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A
zero
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B
5 m
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C
2.5 m
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D
1.25 m
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Solution

The correct option is C 1.25 m
by conservation of momentum principle the final velocity right after collision is v=1002=50cm/sec
Hence by conservation of energy theorem 12mv2=mgh
h=10×120.52=1.25m

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