An experimental setup consists of an ideal horizontal spring of constant 50N/m attached to a movable cart on a low-friction track. When the cart is displaced slightly from equilibrium and released, the period of oscillation is measured to be 1.20s.
(a) Calculate the mass of the cart.
(b) A 0.200kg mass is then rigidly fastened to the top of the cart. After the combined system is again displaced and released, determine the new period of oscillation.