Problem

The package handling system is designed to launch the small package of mass m from A, usin...

The package handling system is designed to launch the small package of mass m from A, using a compressed linear spring of constant k. After launch, the package slides along the track until it lands on the conveyer belt at B. The track has small, well-oiled rollers, making any friction between the packages and the track negligible. Modeling the package as a particle, determine the minimum initial compression of the spring so that the package gets to B without separating from the track, and determine the corresponding speed with which the package reaches the conveyer at B.