1. A 5.8 -kg bucket of water is raised from a well by a rope. If the upward acce

Question

1. A 5.8-kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.6 m/s2, find the force exerted by the rope on the bucket.

2. A block of mass m = 5.3 kg is pulled up a ? = 21

A 5.8-kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.6 m/s2, find the force exerted by the rope on the bucket. A block of mass m = 5.3 kg is pulled up a ? = 21 degree incline as in the figure with a force of magnitude F = 33 N. Find the acceleration of the block if the incline is frictionless. Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12.

Explanation / Answer

1) F - 5.8g = 3.6(5.8)

so F = 77.72 N

force exerted by the rope on the bucket = 77.72N

2) a) F - mgsin 21 = ma

so 33 - 5.3*9.8*sin 21 = 5.3a

so a = 2.71 m/s^2

b) F - mgsin 21 - 0.12*mg cos21 = ma

so 33 - 5.3*9.8*sin 21 - 0.12*5.3*9.8*cos 21 = 5.3a

so a = 1.62 m/s^2

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