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Elastic and Inelastic Collisions

AP Physics 1· difficulty 3/5

A 1 kg1~\text{kg} object at 4 m/s4~\text{m/s} sticks to a 3 kg3~\text{kg} object at rest. The fraction of initial KE lost is

  • A

    15/1615/16

  • B

    1/21/2

  • C

    3/43/4

    check_circle
  • D

    1/41/4

Explanation

Final velocity: v′=4/4=1 m/sv' = 4/4 = 1~\text{m/s}. Ki=8 JK_i = 8~\text{J}, Kf=12(4)(1)=2 JK_f = \tfrac{1}{2}(4)(1) = 2~\text{J}. Lost: 6/8=3/46/8 = 3/4.

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