Illustrated below are two blocks of mass and moving with respective velocities and (with ) on a frictionless surface. A massless spring is attached to the block of mass such that the block of mass collides with it at some time.
Ignoring all dissipative forces, which block will have a greater velocity at maximum compression of the spring?
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At maximum compression of spring, both its ends will have the same velocity. If it were not so then it would be in the state of compression or expansion, as one end of the spring would be moving faster (or slower) w.r.t the other end.