Solve the all parts of given problem:
Problem: Two balls with the same mass collide on a linear track. Ball #1 is moving initially to the right at 5 m/s and Ball #2 is initially moving with a velocity of 2 m/s to the left. A total of 20% of the initial energy is converted into heat in the collision.
Problem I: How fast is Ball #1 moving after the collision?
Problem II: How fast is Ball #2 moving after the collision?
Please show all work and clearly explain.