Problem 4: Kinetics of Particles: Problems involving Energy and Momentum (25 points) The cart of mass m2 = 3 kg is moving to the right on the frictionless surface with a speed vz = 6 m/s when it collides with the initially stationary barrier of mass m2 = 5 kg. The coefficient of restitution for this collision is e = 0.75. Please, answer following questions: V1 mi m2 (a) Calculate the speed of the cart right after the impact. (10 points) (b) Determine the maximum deflection 8 of the barrier, which is connected to three springs, each of which has a spring constant of 4 kN/m and is undeformed before the impact. (16 points)