A hollow 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

Options

A. 0.1J
B. 0.3J
C. 0.5J
D. 0.42J

Answer

D

Explanation

`K_(N)= (1)/(2) mv^(2) (1+ (K^(2))/(R^(2))) = (1)/(2) xx 2 xx (0.5)^(2) (1+ ((2)/(3)R^(2))/(R^(2)))`= 0.42J