A block of mass 3.5 kg is initially at rest on a wedge of mass 20 kg, height 0.30 m, and...

A block of mass 3.5 kg is initially at rest on a wedge of mass 20 kg, height 0.30 m, and incline angle as shown in Figure P7.60. There is no friction between the wedge and the floor. Starting at the top of the incline, the block is released and slides toward the bottom of the wedge. At the same time, the wedge “recoils” and slides some distance L to the right. Find L when the block has reached the bottom of the wedge. Hint: The center of mass of a right triangle of height h is a distance h/3 above the base of the triangle.