A cart of mass kg. slides down a frictionless ramp and is made to collide with a second cart of mass kg. at the bottom of the ramp on a horizotal portion of the track. Cart m2 then heads along the horizonal track and into a vertical loop of radius 0.25 m.
a) Determine the height (h) from which from which cart 1 would need to start to make sure that cart 2 completes the loop without leaving the track? (Assume an elastic condition).
b) Find the height needed if instead cart 2 (more massive) is allowed to slide down the ramp on the track into the smaller cart 1?