Question

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

Options

• 0.01 % 

• 0.02 % 

• 0.04 % 

• 0.08 %

Answer 1

If the momentum of a body increases by 0.01%, its kinetic energy will increase by 0.02 %.

Explanation:

For a body of constant mass,

K.E. = `p^2/(2 m)`

So, kinetic energy is proportional to the square of momentum:

K.E. ∝ p²

Therefore, a very small percentage increase in momentum produces approximately twice that percentage increase in kinetic energy.

2 × 0.01 % = 0.02 %

Hence, the kinetic energy increases by:

0.02 %