The ball only loses energy during the collisions. Energy is conserved between collisions. We will denote Ej the total energy of the ball after the first collision, E2 the total energy of the ball after the second collision, and in general, En will represent the total energy of the ball after the nth collision. Consider the floor to be the reference for zero potential energy. Question 4 a. Find the coefficient of restitution in terms of the ball's kinetic energy just before and just after the nth collision (n > 2). b. If the coefficient of restitution is e = 0, what does that imply about the energy lost during the collision? c. If the coefficient of restitution is e = 1, what does that imply about the energy lost during the collision?

The ball only loses energy during the collisions. Energy is conserved between collisions. We will denote Ej the total energy of the ball after the first collision, E2 the total energy of the ball after the second collision, and in general, En will represent the total energy of the ball after the nth collision. Consider the floor to be the reference for zero potential energy. Question 4 a. Find the coefficient of restitution in terms of the ball's kinetic energy just before and just after the nth collision (n > 2). b. If the coefficient of restitution is e = 0, what does that imply about the energy lost during the collision? c. If the coefficient of restitution is e = 1, what does that imply about the energy lost during the collision?