The 2-kg sphere is projected horizontally with a velocity of 10 m/s against the 10-kg carriage which is backed up by the spring with stiffness of1600 N/m. The carriage is

initially at rest with the spring uncompressed. If the coefficient of restitution is 0.6, calculate the rebound velocity v',the rebound angle 6, and the maximum travel 8 of the carriage after impact.