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Question: If the momentum of a body increases by 0.01%, its kinetic energy will increase by...

If the momentum of a body increases by 0.01%, its kinetic energy will increase by

A

0.01%

B

0.02 %

C

0.04 %

D

0.08 %

Answer

0.02 %

Explanation

Solution

Kinetic energy E=P22mE = \frac { P ^ { 2 } } { 2 m } ∴ E∝P2E \propto P ^ { 2 }

Percentage increase in kinetic energy

= 2(% increase in momentum) [If change is very small]

= 2(0.01%) = 0.02%.