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Elastic and Inelastic Collisions

AP Physics 1· difficulty 2/5

A 3.0 kg3.0~\text{kg} cart moving at 4.0 m/s4.0~\text{m/s} strikes and sticks to a 1.0 kg1.0~\text{kg} cart initially at rest. What is their common speed after collision?

  • A

    2.0 m/s2.0~\text{m/s}

  • B

    1.0 m/s1.0~\text{m/s}

  • C

    4.0 m/s4.0~\text{m/s}

  • D

    3.0 m/s3.0~\text{m/s}

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Explanation

Momentum: (3.0)(4.0)+0=(3.0+1.0)v′⇒v′=12/4=3.0 m/s(3.0)(4.0) + 0 = (3.0 + 1.0)v' \Rightarrow v' = 12/4 = 3.0~\text{m/s}.

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