A 2.25 times 104N elevator is to be accelerated upward by connecting it to a cou

Question

A 2.25 times 104N elevator is to be accelerated upward by connecting it to a counterweight using a light (but strong!) cable passing over a solid uniform disk-shaped pulley. There is no appreciable friction at the axle of the pulley, but its mass is 875kg and it is 1.50m in diameter. How heavy should the counterweight be so that it will accelerate the elevator upward through 6.25m in the first 4.00s starting from rest? Under these conditions, what is the tension in the cable on elevator side of the pulley? Under these conditions, what is the tension in the cable on counterweight side of the pulley?

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