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NEETPhysicsCenter of Mass, Momentum and Collision

A body is moving uniformly in a straight line. If its kinetic energy is 24 ~J and its linear momentum is 12 ~kg ~m / s , the distance covered by the body in 5 ~s is:

Options

  1. A10 ~m
  2. B2.5 ~m
  3. C20 ~m
  4. D1440 ~m

Correct answer

C. 20 ~m

Step-by-step solution

Given, Kinetic energy, K = 24 ~J Linear momentum, p = 12 ~kg ~m / s Time, t = 5 ~s The relationship between kinetic energy and linear momentum is: K = 1 2 p v Rearranging for velocity v : v = 2K p v = 2 24 12 = 4 ~m/s The distance covered in 5 ~s is: d = v t d = 4 5 = 20 ~m Answer: 20 ~m

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