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Buckets and a Pulley Two buckets of sand hang from opposite ends of a rope that

ID: 2263018 • Letter: B

Question

Buckets and a Pulley Two buckets of sand hang from opposite ends of a rope that passes over

an ideal pulley. One bucket is full and weighs 120 N; the other bucket is only partly filled and

weighs 63 N.


(a) Initially, you hold onto the lighter bucket to keep it from moving. What is the

tension in the rope?

(b) You release the lighter bucket and the heavier one descends. What is the tension in

the rope now?

(c) Eventually the heavier bucket lands and the two buckets come to rest. What is the

tension in the rope now?

Explanation / Answer

a) T = 120 N


b) 120 - T = (120/g)a

T - 63 = (63/g)a

add them

120 - 63 = (120/g + 63/g)a

a = 3.05 m/s2

T = 120 - (120 x 3.05 /9.8) = 82.62 N


c) T = 63 N

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