Question

A body is dropped from a certain height in the effect of conservative forces only. When it loses ${}^{\prime }{U}^{\prime }$ amount of potential energy, it subsequently acquires a velocity ${}^{\prime }{v}^{\prime }$. The mass of the body is

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

Answer 1

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

By energy conservation,

Loss in potential energy $=K.E$

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

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