A curling stone slides on a frictionless, frozen lake and collides with the end of a log, bouncing off elastically.

A curling stone slides on a frictionless, frozen lake and collides with the end of a log, bouncing off elastically. The stone's initial velocity is perpendicular to the log, which is initially at rest. Find the final velocity of the curling stone, and the center-of-mass velocity and the angular velocity of the log about it's own center of mass after the collision.

Parameters: the stone's initial speed v0, its mass m, and the length L and mass M of the log, which you can assume is uniform has the moment of inertia of a thin rod.