Q. A car of mass 1000 kg moves at a constant speed of $20\ ms^{- 1}$ up an incline. Assume that the frictional force is 200 N and that $\sin\theta\ = \ 1/20$ where, $\theta$ is the angel of the incline to the horizontal. The $g = 10\ ms^{- 2}$. Find the power developed by the engine

A) 14 kW
B) 4 kW
C) 10 kW
D) 28 kW
Explanation

(a) $P = (mg\sin\theta + F)v$
$= \left( 1000 \times 10 \times \frac{1}{20} + 200 \right) \times 20$
$= 1400\ W = 14\ kW$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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