Question 3 (25 Points) (a) A solid rigid disk has radius R, thickness T and mass m. It is released at rest from a height H (>>R) on the top of a slope which is inclined at an angle of 0 to the ground (see figure below). The disk rolls without slipping in a vertical plane down the slope (a) What is the velocity V, of the disk at the bottom of the slope? (b) As the disk rolls further (still without slipping) along the horizontal ground it collides elastically with a stationary solid rigid sphere of radius R and mass M. The collision occurs with the centers of the disk and the sphere both lying inside the same vertical plane defined by the rolling disk. You can assume that the friction of the ground is large enough that both during and after collision the disk and the sphere roll on the ground without slipping. What are the velocities V|' and V, of m and M, respectively, after their collision