Elastic and Inelastic Collisions

AP Physics 1· difficulty 3/5

A 0.010 kg0.010~\text{kg} bullet at 300 m/s300~\text{m/s} embeds in a 1.99 kg1.99~\text{kg} block on a frictionless surface. What is the speed of the block+bullet immediately after?

  • A

    3.0 m/s3.0~\text{m/s}

  • B

    0.75 m/s0.75~\text{m/s}

  • C

    30 m/s30~\text{m/s}

  • D

    1.5 m/s1.5~\text{m/s}

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Explanation

Momentum conservation: (0.010)(300)=(2.00)v(0.010)(300) = (2.00)\,v', giving v=3.0/2.00=1.5 m/sv' = 3.0 / 2.00 = 1.5~\text{m/s}.

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