Two smooth spheres A and B of masses 0.30kg and 0.20kg, respectively, move along the same straight line in opposite directions. Sphere A approaches with speed 5.0m s−1 while sphere B approaches with speed 3.0m s−1. The coefficient of restitution for the collision is 0.75.
a. (i) Find the speeds of the two spheres immediately after the collision, indicating their directions.
b. (ii) Calculate the total kinetic energy of the system just before and just after the collision.
c. (iii) Determine the percentage change in kinetic energy and state whether it is a loss or a gain.