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A pendulum consists of a wooden bob of mass m and length I . A bullet of mass m₁ is fired towards the pendulum with a speed v_{1 .}The bullet emerges out of the bob with a speed $\frac{v_{1}}{3}$ , and the bob completes a motion along a vertical circle. then v₁ is

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mm1(5gl)

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detailed solution

Correct option is B

Applying the law of conservation of momentummv=m1⋅v1−v13 ∴ v=m1m2v13 To describe a vertical circle, v should be (5gl). Hence (5gl)=m1m23v1 v1=mm132(5gl)

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A pendulum consists of a wooden bob of mass m and length I . A bullet of mass m1 is fired towards the pendulum with a speed v1 .The bullet emerges out of the bob with a speed v13, and the bob completes a motion along a vertical circle. then v1 is

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Ready to Test Your Skills?

free study material

A pendulum consists of a wooden bob of mass m and length I . A bullet of mass m₁ is fired towards the pendulum with a speed v_{1 .}The bullet emerges out of the bob with a speed $\frac{v_{1}}{3}$ , and the bob completes a motion along a vertical circle. then v₁ is