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Conservation of Linear Momentum

AP Physics 1· difficulty 3/5

Two masses (1 kg1~\text{kg} and 4 kg4~\text{kg}) on a frictionless track are at rest with a compressed spring between them. After release, they fly apart. The ratio of their kinetic energies K1/K4K_1/K_4 is

  • A

    4:14:1

    check_circle
  • B

    1:11:1

  • C

    1:41:4

  • D

    16:116:1

Explanation

∣p1∣=∣p4∣|p_1| = |p_4|. K=p2/(2m)K = p^2/(2m), so K1/K4=m4/m1=4/1K_1/K_4 = m_4/m_1 = 4/1.

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