Elastic and Inelastic Collisions

AP Physics 1· difficulty 4/5

A 1.0 kg ball moving at 6.0 m/s strikes and sticks to a 3.0 kg ball at rest. The final speed of the combined mass is

  • A

    6.0 m/s

  • B

    2.0 m/s

  • C

    0 m/s

  • D

    1.5 m/s (momentum conservation: pi=6p_i = 6 kg·m/s; vf=6/4v_f = 6/4)

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Explanation

Perfectly inelastic: m1v1=(m1+m2)vfm_1 v_1 = (m_1 + m_2) v_f. vf=6.0/(1+3)=1.5v_f = 6.0/(1+3) = 1.5 m/s.

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