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Physics

A light and a heavy body have equal K.E. Which body will have a greater momentum?

  1. heavy
  2. light
  3. both
  4. cannot say

Work, Energy & Power

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Answer

heavy

Reason — Kinetic energy is given by K = 12\dfrac{1}{2}mv2 and momentum by p = mv. For the same kinetic energy, momentum can be written as p = 2mK\sqrt {2\text {mK}} and since momentum depends on the square root of mass, the body with the greater mass will have greater momentum when kinetic energies are equal.

Hence, heavy body will have a greater momentum.

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