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A speeding bullet collides with and embeds into a pendulum bob. As a result, the

ID: 2078459 • Letter: A

Question

A speeding bullet collides with and embeds into a pendulum bob. As a result, the pendulum bob and embedded bullet swing to a maximum height. The kinetic energy of the bullet is equal to the potential energy of the pendulum bob and embedded bullet at the maximum height. The momentum of the speeding bullet is equal to the momentum of the pendulum bob and embedded bullet immediately after the collision. The kinetic energy of the speeding bullet is equal to the kinetic energy of the pendulum bob and embedded immediate after the collision. The momentum of the speeding bullet is greater than the momentum of the pendulum bob and embedded bullet just after the collision.

Explanation / Answer

Second option is correct because momentum is conserved in the collision as no external force is acting on the system. Thus total momentum before collision is equal to momentum after collision. System is (pendulum+bullet).

m v = (m+M) V

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