A cart of mass M = 1.80 kg can roll without friction on a level track. A light string draped over a light, frictionless pulley connects the cart to a hanger with mass m = 0.70 kg. The cart is released from rest, allowing it to roll, pulled by the falling hanger. What is the formula for the acceleration a of the hanger in terms of the tension T, the hanger's mass m, and the acceleration of gravity g? What is the formula for the acceleration a of the cart in terms of the tension T, and its mass M? Use the two equations you found above to eliminate T to give the acceleration of the cart in terms of M, m and g. Calculate the the numerical value for the acceleration (Assume g = 9.81 m/s2).