A student designs an experiment using a track with a horizontal flat section in the middle and inclined sections at both ends to test conservation of momentum during collisions. A glider of mass $M$ is released from rest on the left incline at a vertical height $H$ above the horizontal section. It slides down and collides with a stationary glider of mass $m$ resting on the horizontal section. The two gliders couple together on impact and slide up the right incline, reaching a maximum vertical height $h$ above the horizontal section. Friction along the track may be assumed to be negligible. The relationship between the initial height $H$ and final height $h$ is given by: $h={\left(\frac{M}{M+m}\right)}^{2}H$