Conservation of Linear Momentum

AP Physics 1· difficulty 4/5

A 2.0 kg gun fires a 0.020 kg bullet at 400 m/s. The recoil speed of the gun is

  • A

    40 m/s

  • B

    4.0 m/s (mvb/Mmv_b/M, momentum conservation)

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  • C

    0.40 m/s

  • D

    8.0 m/s

Explanation

0=mbvb+mgvg0 = m_b v_b + m_g v_g. vg=mbvb/mg=0.020(400)/2.0=4.0v_g = -m_b v_b/m_g = -0.020(400)/2.0 = -4.0 m/s (recoil at 4.0 m/s opposite to bullet).

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