Q.
A machine which is 75 percent efficient, uses 12 joules 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) Potential energy of a body $= 75\%$ of $12\ J$
$mgh = 9\ J \Rightarrow h = \frac{9}{1 \times 10} = 0.9\ m$
Now when this mass allow to fall then it acquire velocity
$v = \sqrt{2gh} = \sqrt{2 \times 10 \times 0.9} = \sqrt{18}\ m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.