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Physics

Two balls of masses 4m and 8m are in motion with velocities 2v and v respectively. The ratio of their momentum would be :

  1. 2 : 1
  2. 1 : 2
  3. 1 : 1
  4. 1 : 4

Laws of Motion

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Answer

1 : 1

Reason — Given,

m1 = 4m m2 = 8m
v1 = 2v
v2 = v

As, p = mv

Hence, p1p2\dfrac{\text{p}1}{\text{p}2} = 4m2v8mv\dfrac{\text{4\text{m}2\text{v}}}{\text{8\text{m}\text{v}}} = 8mv8mv\dfrac{\text{8\text{mv}}}{\text{8\text{m}\text{v}}} = 1 : 1

Hence, ratio of their momentum = 1 : 1

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