a uniform sphere rolls on a horizontal surface at 20m/s and then rolls up an incline that is inclined at 30 degrees to a height h from the ground.

if frictional forces are negligible , show that the height h is independent of the mass of the sphere hence calculate the value of h.

Hint: use . Remember that the kinetic energy of a rolling sphere has a component due to translation of plus a component due to rotation of . Work this equation a bit and what do you find?