Question

A body is dropped from a certain height. When it lost an amount of potential energy, 'U' it subsequently acquires a velocity 'v'. The mass of the body is

• A. $\frac{2U}{v^2}$
• B. $\frac{U}{2v^2}$
• C. $\frac{2U}{v}$
• D. $\frac{2U^2}{v^2}$

Answer 1

The correct option is A $\frac{2U}{v^2}$

Potential Energy = Kinetic Energy

$U=\frac{1}{2}m{v}^2$

$m=\frac{2U}{v^2}$

Hence, mass is $\frac{2U}{v^2}$