First slide

Work

Question

A bucket filled with water weighing 30kg is raised from a well of depth 10m. If the linear density of rope is 0.2kg per meter, the amount of work done is $(g = 10 {ms}^{- 2})$

Moderate

A

320J
B

3100J
C

3000J
D

2900J

Solution

$\begin{array}{l} W = W_{bucket} + W_{rope} \\ W = m_{b} {gh}_{1} + m_{r} {gh}_{2} \\ W = 30 \times 10 \times 10 + (0.2 \times 10) \times 10 \times (\frac{10}{2}) \\ W = 3000 + 100 \\ W = 3100 J \end{array}$

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