Q.

A pendulum consists of a wooden bob of mass m and length l. A bullet of mass m1 is fired towards the pendulum with a speed v1 and it emerges from the bob with speed v13. The bob just completes motion along a vertical circle. Then, v1 is

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a

mm15gl

b

3m2m15gl

c

23mm15gl

d

m1mgl

answer is B.

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Detailed Solution

From conservation of linear momentum,            m1v1=m5gl+m1v13  or  v1=32mm15gl
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A pendulum consists of a wooden bob of mass m and length l. A bullet of mass m1 is fired towards the pendulum with a speed v1 and it emerges from the bob with speed v13. The bob just completes motion along a vertical circle. Then, v1 is