A sphere of diameter 0.2 m and mass 2 kg is rolling on an inclined plane with velocity v=0.5 ~m / s . The kinetic energy of the sphere is

Step-by-step solution

The kinetic energy of sphere while rolling on an inclined plane is given by E_K= Translational kinetic energy + ext Rotational kinetic energy aligned = & 1 2 m v^2+ 1 2 I ^2 E_K= & 1 2 2 (0.5)^2+ 1 2 2 3 2 (0.1)^2 ( 0.5 0.1 )^2 = & 0.25+0.17=0.42 ~J aligned