Problem

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

The package handling system is designed to launch the small package of mass m from A by using a compressed linear spring of constant k. After launch, the package slides along the track until it lands on the conveyor belt at B. The track has small, well-oiled rollers so that you can neglect any energy loss due to the movement of the package along the track. 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 at C. Finally, determine the speed with which the package reaches the conveyor at B.