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Conservation of Linear Momentum

AP Physics 1· difficulty 2/5

Two skaters at rest, masses 40 kg40~\text{kg} and 60 kg60~\text{kg}, push off each other. The 40 kg40~\text{kg} skater moves at 3 m/s3~\text{m/s}. The 60 kg60~\text{kg} skater's speed is

  • A

    3.0 m/s3.0~\text{m/s}

  • B

    2.0 m/s2.0~\text{m/s}

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  • C

    1.5 m/s1.5~\text{m/s}

  • D

    4.5 m/s4.5~\text{m/s}

Explanation

0=40(3)+60(−v)⇒v=120/60=2.0 m/s0 = 40(3) + 60(-v) \Rightarrow v = 120/60 = 2.0~\text{m/s}.

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