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Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough inclined surface makes an angle of 30 degrees with the horizontal. The block on the inclined surface has mass m = 5.0 kg. Assume the coefficient of kinetic friction between the block of mass m and the inclined plane is µk = 0.10. The vertically hanging block has mass M = 50.0 kg. Assume the blocks begin their motion from rest.

(a) What is the magnitude N of the normal force on the block of mass m?

(b) What direction does the hanging block move, up or down? Circle one.

(c) What is the common magnitude a of the acceleration of the blocks?

(d) What is the magnitude T of the tension in the string?

(e) What is the speed of the hanging mass after it has moved a vertical distance of 1.50 m (assuming the hanging mass has not yet hit the ground and the block of mass m has not yet reached the upper edge of the incline)?

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