Q. A solid sphere of mass 1 kg, radius 10 cm rolls down an inclined plane of height 7 m. the velocity of its centre as it reaches the ground level is

A) 7 m/s
B) 10 m/s
C) 15 m/s
D) 20 m/s
Explanation

(b) When a body of mass $m$ and radius $R$ rolls down on inclined plane of height $h$ and angle of inclination $\theta$, it losses potential energy. However, it acquires both linear and angular speeds.
Velocity at the lowest point $v = \sqrt{\frac{2gh}{1 + \frac{K^{2}}{R^{2}}}}$
For solid sphere $\frac{K^{2}}{R^{2}} = \frac{2}{5}$
$\therefore$ $v = \sqrt{\frac{2 \times 10 \times 7}{1 + \frac{2}{5}}} = 10$ m/s

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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