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PhysicsCenter of MassMiscellaneousHard2 minPYQ_2021
PhysicsHardinteger

A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with velocity 100 m s-1. The length of the pendulum is 0.5 m and mass of the bob is 1 kg. The minimum value of v in m s-1, so that the pendulum describes a circle. (Assume the string to be inextensible and g=10 m s-2 )

Question diagram: A bullet of 10 g , moving with velocity v , collides head-on
Answer:
400
Solution:

Final velocity of system (bullet + mass) should be =5gr

Now M5gr=m(v+100)

thus v=Mm5gr-100=500-100=400 m s-1

v=400 m s-1

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Miscellaneous
2mℹ️ Source: PYQ_2021

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