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Conservation of Linear Momentum

AP Physics 1· difficulty 2/5

A 2.0 kg2.0~\text{kg} rifle fires a 0.010 kg0.010~\text{kg} bullet at 400 m/s400~\text{m/s}. What is the rifle's recoil speed (ignore the shooter)?

  • A

    4.0 m/s4.0~\text{m/s}

  • B

    0.50 m/s0.50~\text{m/s}

  • C

    1.0 m/s1.0~\text{m/s}

  • D

    2.0 m/s2.0~\text{m/s}

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Explanation

0=mbvb+mrvr⇒vr=−mbvb/mr=−(0.010)(400)/2.0=−2.0 m/s0 = m_b v_b + m_r v_r \Rightarrow v_r = -m_b v_b / m_r = -(0.010)(400)/2.0 = -2.0~\text{m/s} (rearward).

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