A solid uniform sphere is released from the top of an inclined plane .25 m tall. the sphere rolls down the plane without slipping and there is no energy lost from friction. What is the translational speed of the sphere at the bottom of the incline?

1 answer

Ke = (1/2) m v^2 + (1/2) I omega^2

v = omega r
so omega = v/r

Ke = (1/2) m v^2 + (1/2) I v^2/r^2

= m g (.25)

(1/2) m v^2 + (1/2) (2/5) m v^2 = .25 m g

(7/10) v^2 = .25 * 9.81