Q. A solid sphere of mass $500\ g$ and radius $10\ cm$ rolls without slipping with the velocity $20\ cm/s$. The total kinetic energy of the sphere will be
A) $0.014\ J$
B) $0.028\ J$
C) $280\ J$
D) $140\ J$
Explanation
(a) $\frac{1}{2}mv^{2}\left( 1 + \frac{K^{2}}{R^{2}} \right) = \frac{1}{2}(0.5)(0.2)^{2}\left( 1 + \frac{2}{5} \right) = 0.014\ J$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.