A 2 kg block slides along a friction-less tabletop at 8.0 m/s toward a second block (at rest) of 5 kg. A spring which obeys Hooke's law with a spring constant k = 850 N/m, is attached to the second block.
(a) What will be the maximum compression of the spring?
(b) What will be the velocities of the two blocks when the spring is maximally compressed?
(c) Eventually the spring will decompress, pushing the 2 kg block away from the 5 kg block. What will be the final velocities after the collision (when the spring is no longer compressed)? (assume no energy is dissipated by the spring)
The attached PDF file shows detailed calculations and explanations in solving the problems.