1. Tardigrade
  2. Question
  3. Physics
  4. A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A uniform sphere of mass $500\, g$ rolls without slipping on a plane horizontal surface with its centre moving at a speed of $5.00\, cm/s$. Its kinetic energy is :

JEE MainJEE Main 2020System of Particles and Rotational Motion

Solution:

$m = 0.5 \,kg, v = 5 \,cm/s$
$KE$ in rolling $=\frac{1}{2}mv^{2}+\frac{1}{2}\,I\omega^{2}$
$=\frac{1}{2}mv^{2}\left(1+\frac{K^{2}}{R^{2}}\right)$
$=8.75\times10^{-4}\,J$