A solid cylinder and a sphere, having the same mass, rolls without slipping with the same linear velocity. If the kinetic energy of the cylinder is `75 J`, that of the sphere must be

Options

A. `60 J`
B. `70 J`
C. `80 J`
D. `90 J`

Explanation

Cylinder : `(1+(k^(2))/(R^(2)))(1)/(2)mv^(2)=(1+(1)/(2))(1)/(2)mv^(2)=(3)/(4)mv^(2)=75J`
Sphere : `(1+(2)/(5))(1)/(2)mv^(2)=(7)/(10)mv^(2)=(7)/(10)(100)=70J`