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Conservation of Linear Momentum

AP Physics 1· difficulty 2/5

A 4 kg4~\text{kg} object at 5 m/s5~\text{m/s} collides head-on with a 1 kg1~\text{kg} object at rest. After collision the 1 kg1~\text{kg} object moves at 8 m/s8~\text{m/s} in the direction the 4 kg4~\text{kg} object was moving. The final velocity of the 4 kg4~\text{kg} object is

  • A

    8 m/s8~\text{m/s}

  • B

    5 m/s5~\text{m/s}

  • C

    2 m/s2~\text{m/s}

  • D

    3 m/s3~\text{m/s}

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Explanation

Momentum: 4(5)=4v+1(8)⇒v=12/4=3 m/s4(5) = 4 v + 1(8) \Rightarrow v = 12/4 = 3~\text{m/s}.

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