A low-friction cart is placed between two identical springs that are attached to rigid walls, as shown in (Figure 1). If you push the cart against one spring and release it, it continues moving back and forth between the springs. Figure < 1 of 1 www > Derive the expression for the period of the motion of the cart as a function of relevant parameters. Denote the mass of the cart as m, the length of the cart as L, the distance between the ends of the relaxed springs as d, the spring constant as k, and the maximum compression of the spring as A. Assume air resistance and friction between all surfaces to be negligible. Express your answer in terms of some or all of the variables m, L, d, k, and A.