Ball 1 from Problem 53 is moving away from you at \(5.0 \mathrm{~m} / \mathrm{s}\), and you decide to throw ball 2 at it to make it go faster. Onee again the balls collide head-on, and the coefficient of restitution for the collision is 0. 90 .

(a) Given the inertias in Problem 53, how fast must ball 2 be traveling in order to double the velocity of ball 1 ?

(b) What is the initial relative velocity of the two balls?

(c) What is their reduced inertia?

(d) What percentage of the original kinetic energy is convertible?

(e) What are the final velocities of the two balls immediately after the collision?

Data from Problem 53

Ball 1 is moving toward you at \(10 \mathrm{~m} / \mathrm{s}\), and you decide to throw ball 2 at it to make it reverse its velocity. The balls collide head-on, and the coefficient of restitution for the collision is 0. 90 .