A bullet of mass $m$ and speed $v$ hits a pendulum bob of mass $M$ at time $t_1$, and passes completelythrough the bob. The bullet emerges at time $t_2$ with a speed of $v/2$. The pendulum bob is suspended by a stiff rod of length $l$ and negligible mass. After the collision, the bob can barely swing through a complete vertical circle.At time $t_3$, the bob reaches the highest position.What quantities are conserved in this process?

819-92

  • A

    Total kinetic energy of the bob and the bullet during the time interval $\Delta t = t_2 - t_1$ .

  • B

    Total momentum of the bob and the bullet during the time interval$\Delta t = t_2 - t_1$ .

  • C

    Total mechanical energy of the bob and the bullet during the time interval $t_3 - t_1$.

  • D

    Momentum of the bob after $t_2$.

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