Question

the momentum of a body increases by 10% than increase in kinetic energy will be
A) 10%
B) 20%
C) 21%
D) 19%

Answer 1

\[\large K={p^2 \over 2m}\]

Answer 2

Momentum varies directly with velocity, but energy varies with the square of the velocity. Assuming it's the velocity changing and not the mass, that means if the momentum increases by a factor of 1.1 (an increase of 10%), the velocity has increased by a factor of 1.1. That also means the energy must have increased as follows:\[1.1^{2}=1.21\]an increase of 21%