Q.

A pendulum of length 2 m consists of a wooden bob of mass 50 g.  A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed v3 and the bob just completes the vertical circle. The value of v is _________ ms-1

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Detailed Solution

To complete the entire vertical circle, the minimum speed of bob should be 5Rg

By law of conservation of momentum 

Pi=Pf ; 

75V+0=505Rg+75V/3

75×2V3=505Rg

50V=505Rg

V=5Rg=5×2×10=10 m/s

 

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A pendulum of length 2 m consists of a wooden bob of mass 50 g.  A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed v3 and the bob just completes the vertical circle. The value of v is _________ ms-1