Question

A uniform solid sphere of mass M and radius R is rolling without sliding along a level plane with a speed v = 2.70 m/s when it encounters a ramp that is at an angle è = 20.4° above the horizontal. Find the maximum distance that the sphere travels up the ramp if the ramp is frictionless, so the sphere continues to rotate with its initial angular speed until it reaches its maximum height.

Answer 1

well, the translational KE converts to PE

1/2 m 2.7^2=mg*dsin20.4
solve for d

Answer 2

Thank you.