Question 5

If momentum of a body is increased by 20%, then its kinetic energy increases by:

Name: If momentum of a body is increased by 20%, then its kinetic energy increases by:
Uploaded: 2026-05-20T11:20:49.911506+05:30
Duration: 1 min 52 s
Description: If momentum of a body is increased by 20%, then its kinetic energy increases by:

Solution

We have the kinetic energy expressed in terms of momentum as $$K = \frac{p^2}{2m}$$.

If the momentum is increased by 20%, the new momentum is $$p' = 1.2\,p$$. The new kinetic energy is $$K' = \frac{(1.2\,p)^2}{2m} = \frac{1.44\,p^2}{2m} = 1.44\,K$$.

The percentage increase in kinetic energy is $$(1.44 - 1) \times 100\% = 44\%$$.

Hence, the correct answer is Option 3.

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