Question

When the momentum of a body increases by 10% its K.E. increases by

• A. 20%
• B. 40%
• C. 44%
• D. None of these

Answer 1

The correct option is D None of these

$K.E=\frac{P^2}{2M}$

Now let new momentum is $P^1$

$K.E^1=\frac{{P^1}^2}{2M}{P}^1=1.1PK.E^1=\frac{1.21P^2}{2M}⟹1.21K.E$

$K.E$ is increased by $21\%$