Q. A solid sphere rolls down without slipping on an inclined plane at angle 60${^\circ}$ over a distance of 10 m. the acceleration $(in\ ms^{- 2})$ is

A) 4
B) 5
C) 6
D) 7
Explanation

(c) Here, $\theta = 60{^\circ},\ l = 10\ m,\ a = ?$
$a = \frac{g\sin\theta}{1 + K^{2}/R^{2}}$
For solid sphere, $K^{2} = \frac{2}{5}R^{2}$
$a = \frac{9.8\sin{60{^\circ}}}{1 + \frac{2}{5}} = \frac{5}{7} \times 9.8 \times \frac{\sqrt{3}}{2} = 6.06\ ms^{- 2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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