(Solved): (13\%) Problem 2: A farmer is using a rope and pulley to lift a bucket of water from the bottom of ...

(13\%) Problem 2: A farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is $h_y=15\mathrm{m}$ deep. The farmer uses a force $F_1$ $=50.5\mathrm{N}$ to pull the bucket of water directly upwards. The total mass of the bucket of water is $m_b+m_w=4.1\mathrm{kg}$. $?25\%$ Part (a) Select the correct free body diagram. Hints: deduction per hint. Hints remaining: Feedback: deduction per feedback. $?25\%$ Part (b) Calculate how much work $W_f$ in $\mathrm{J}$ the farmer does on the bucket of water (via the rope) to raise it to ground level. ± 25\% Part (c) Calculate how much work $W_g$ in $\mathrm{J}$ gravity does on the bucket filled with water as the farmer lifts it up the well. $?25\%$ Part (d) Calculate the net work $W_{\text{net }}$ in $\mathrm{J}$ done on the bucket of water by the two forces $F_1$ and $F_g$.