Question

A heavy and a light body have equal momentum. Which of the following has greater kinetic energy?

• A. Light body
• B. Can't determine
• C. Heavy body
• D. Both have same kinetic energy

Answer 1

The correct option is A Light body

Given that the momentum is same for both the bodies.
Also, kinetic energy = $\frac{p^2}{2m}$
$\therefore$ when momentum is same $K.E\propto \frac{1}{m}$
K.E. will be more for the lighter body as it has lesser mass.