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Conservation of Linear Momentum

AP Physics 1· difficulty 2/5

A 200 kg200~\text{kg} cannon fires a 10 kg10~\text{kg} ball at 80 m/s80~\text{m/s}. The cannon's recoil speed is

  • A

    8 m/s8~\text{m/s}

  • B

    1 m/s1~\text{m/s}

  • C

    4 m/s4~\text{m/s}

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  • D

    2 m/s2~\text{m/s}

Explanation

0=200(−v)+10(80)⇒v=800/200=4 m/s0 = 200(-v) + 10(80) \Rightarrow v = 800/200 = 4~\text{m/s}.

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