At instant \(t_{0}\), you are sitting on a dock and you begin using a rope to lower a \(4.0-\mathrm{kg}\) lobster trap into the water, \(1.4 \mathrm{~m}\) below. You lower the trap at a constant speed of \(1.0 \mathrm{~m} / \mathrm{s}\). At instant \(t_{1}\) it just reaches the water surface \(1.4 \mathrm{~m}\) below the dock. You slacken the rope and the trap continues to move downward at a constant speed of \(1.0 \mathrm{~m} / \mathrm{s}\) until at instant \(t_{2}\) the trap reaches the bottom of the 10 -m-deep bay. Choose a system that includes the water, Earth, and the trap.

(a) Do you do any work on the system in the interval from \(t_{0}\) to \(t_{2}\) ? 

\((b)\) What forces are exerted on the trap during the interval from \(t_{0}\) to \(t_{2}\) ?

(c) Draw an energy diagram for the interval from \(t_{0}\) to \(t_{2}\), showing a correct numerical scale.