Assume that the tank in Figure 10 is full. (a) Calculate the work F(y) required to pump

Question:

Assume that the tank in Figure 10 is full.
(a) Calculate the work F(y) required to pump out water until the water level has reached level y.
(b) Plot F.
(c) What is the significance of F'(y) as a rate of change?
(d) If your goal is to pump out all of the water, at which water level y0 will half of the work be done?

2 5 FIGURE 10 10