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3. In the Atwood machine the heavier body on left has mass M = 1 kg, while the lighter body on right has mass m = 0.9 kg. The system is initially at rest, there is no friction and the mass of the pulley is negligible. (a) write down the algebraic expression for the full energy E at the initial instant when the larger mass is at elevation h and the smaller mass is at elevation 0 (b) write down the algebraic expression for the full energy E at the final instant when the larger mass is at elevation 0 and the smaller mass is at elevation h; use the yet unknown speed v when evaluating the full kinetic energy (c) Find the speed after M lowers by h = 50 cm from initial position (d) find the acceleration a (you can either use the above relation between2 and h, with h = v2/(2a), or use the 2nd Law) (e) find the net force acting on M

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