Question

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

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

Answer 1

The correct option is C Light body

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