Problem 41 (Plug-n-chug). A frictionless horizontal air track has a spring at either end. The spring on the left has a spring constant of kı; the one on the right

has a spring constant of kR. A glider with a mass of m is pressed against the left-hand spring,compressing it by a distance of xL from its equilibrium position. The glider is then released, so that the spring propels it rightward. It slides along the track and into the right-hand spring. Find a formula for the maximum compression of the right-handspring xR as a function of the given parameters: XL, kL, kR, m. (The diagram following the answers shows the situation before the glider is released, when the left-hand springi s compressed and the glider is not moving.)

Fig: 1