Q. A machine, which is 75% efficient, uses 12 J of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is ( in $ms^{- 1}$)

A) $\sqrt{24}$
B) $\sqrt{32}$
C) $\sqrt{18}$
D) $\sqrt{9}$
Explanation

(c) Energy stored $(E) = \frac{75}{100} \times (12) = 9\ J$
As $E = \frac{1}{2}mv^{2}$
$\therefore\ v = \sqrt{\frac{2E}{m}} = \sqrt{\frac{2 \times 9}{1}} = \sqrt{18}\ ms^{- 1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.