Problem 2: A farmer is using a rope and pulley to lift a bucket of water from th

Question

Problem 2: A farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is ay 10.5 m deep. The farmer uses a force Fs 53.5 N to pull the bucket of water directly upwands. The total mass of the backet of water ism 4.2 kg Part (a)Select the correct free body diagram. SchematicChoice m,g mg m, Part (b) Calculaehow much work Wrin J the farmer does on the bucket of water (via the rope) to raise it to ground level. Numeric : A numeric value is expected and not an expression. Part (c) Calculate how much work inJ gravity does on the bucket filled with waters the farmer lifts it up the well. Numeric : A numeric value is expected and not an expression. Part (d) Calculate the net work Wee in J done on the backet of water by the two forces Fi and F Numeric : A numeric value is expected and not an expression.

Explanation / Answer

A) The second diagram in second row is correct because F should be upward, mwg, mbg should be downward.

B)work done by farmer= Fd = 53.5*10.5 = 561.75 J

C) work done by gravity = - mgh = 4.2*9.8*10.5 = - 432.2 N

D) total work done =561.75-432.2 = 129.55 J answer

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