A sphere of mass 6.5 kg is constrained to move along frictionless guides at a velocity of 4 m/s towards a block of mass 26 kg which is resting against a buffer spring of spring stiffness, k = 2.2 kN/m. If there is no loss of energy during impact and the spring has no initial compression, find
i. The velocities of both masses immediately after impact.
ii. The maximum compression of the spring.
iii. The impulse between the sphere and block.
iv. Find the force exerted between the sphere and block and the time over which it is applied.
v. Verify the energy balance of the system.