A cart of mass M = 3.00 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 = 0.90 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?

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