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Elastic and Inelastic Collisions

AP Physics 1· difficulty 4/5

A mass m1=1.0 kgm_1=1.0\,\text{kg} moving at 4.0 m/s4.0\,\text{m/s} undergoes a 1D elastic collision with stationary m2=3.0 kgm_2=3.0\,\text{kg}. What is the speed of m2m_2 after the collision?

  • A

    v2′=3.0 m/sv_2'=3.0\,\text{m/s}

  • B

    v2′=4.0 m/sv_2'=4.0\,\text{m/s}

  • C

    v2′=2.0 m/sv_2'=2.0\,\text{m/s}

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  • D

    v2′=1.0 m/sv_2'=1.0\,\text{m/s}

Explanation

Elastic 1D: v2′=2m1m1+m2v1=2(1)4(4.0)=2.0 m/sv_2'=\dfrac{2m_1}{m_1+m_2}v_1=\dfrac{2(1)}{4}(4.0)=2.0\,\text{m/s}.

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