You are designing a simple elevator system for an old warehouse that is being converted to loft apartments. a 22,500-n elevator is to be accelerated upward by connecting it to a counter-weight by means of a light (but strong! ) cable passing over a solid uniform disk-shaped pulley. the cable does not slip where it is in contact with the surface of the pulley. there is no appreciable friction at the axle of the pulley, but its mass is 875 kg and it is 1.50 m in diameter. (a) what mass should the counterweight have so that it will accelerate the elevator upward through 6.75 m in the first 3.00 s, starting from rest? (b) what is the tension in the cable on each side of the pulley?