At some point in your childhood, you've probably either seen or done a neat trick that involves dropping a large and a small ball simultaneously, with the small ball just above the larger one. When the larger ball hits the ground and then collides with the smaller ball, it causes the small ball to bounce to a height several times greater than that from which the balls were originally released. Suppose the large ball ( M = 2kg) is dropped from h = 1m above the ground, for which the coefficient of restitution is e1 = 0.9. The coefficient of restitution associated with the collision between the small and large balls is e2 =0.7. Find how high the small ball bounces if its mass is m = 0.25kg . Treat the balls as particles, and neglect their radii.