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## A light rope is attached to a block with a mass of 6kg that rests on a horizontal, frictionless surface. The horizontal rope passes over a frictionless, massless pulley, and a block of mass m is suspended from the other end. When the blocks are released, the tension in the rope is 18N. (a) draw a free-body diagram for each block. (b) what is the acceleration of the 6-kg block? (c) what is the mass m of the hanging block? (d) using the value of the hanging mass calculated in part c, what would be the acceleration and the tension in the rope if the coefficient of kinetic friction between the 6-kg mass and the horizontal is 0.10? A work of 12 J is needed to stretch a certain spring by 30 cm a) What is the force constant of the spring? b) How much work must be done to stretch the spring 4.00 cm? c) When released from rest from 4.00 cm position what would be the speed at the unstretched position? A 2kg block is pulled up a ramp by a constant force parallel to the ramp of 15 N. The ramp is 2m long and inclined at 30o above the horizontal. If the coefficient of kinetic friction between the block and the ramp is µk = 0.30, what is the speed of the block at the top of the ramp?

Problem solving: Show your complete solution for each problem.

1. A light rope is attached to a block with a mass of 6kg that rests on a horizontal, frictionless surface. The horizontal rope passes over a frictionless, massless pulley, and a block of mass m is suspended from the other end. When the blocks are released, the tension in the rope is 18N. (a) draw a free-body diagram for each block. (b) what is the acceleration of the 6-kg block? (c) what is the mass m of the hanging block? (d) using the value of the hanging mass calculated in part c, what would be the acceleration and the tension in the rope if the coefficient of kinetic friction between the 6-kg mass and the horizontal is 0.10?
2. A work of 12 J is needed to stretch a certain spring by 30 cm a) What is the force constant of the spring? b) How much work must be done to stretch the spring 4.00 cm? c) When released from rest from 4.00 cm position what would be the speed at the unstretched position?
3. A 2kg block is pulled up a ramp by a constant force parallel to the ramp of 15 N. The ramp is 2m long and inclined at 30o above the horizontal. If the coefficient of kinetic friction between the block and the ramp is µk = 0.30, what is the speed of the block at the top of the ramp?

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