Q. An engine accelerates a car of mass 800 kg to a speed of $72\ kmh^{- 1}$. If the frictional force is 10 M per ton, the power developed by the engine is

A) 10 kW
B) 15 kW
C) 20 kW
D) 5 kW
Explanation

(d) Speed of car, $v = 72\ kmh^{- 1}\ = \ 72 \times \frac{5}{18} = 20\ ms^{- 1}$
$KE\ = \frac{1}{2}mv^{2} = \frac{1}{2} \times 800 \times 400$
$= 400 \times 400\ J$
$P = \frac{KE}{time} = \frac{400 \times 400}{32}$
$= \ 5000\ W\ = \ 5\ kW$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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