A 1. 1-kg lobster climbs into the trap of Problem 27, and at instant \(t_{3}\) you begin to haul the trap up onto the dock. The trap moves at a constant \(0.40 \mathrm{~m} / \mathrm{s}\) through the water, and it breaks the surface of the water at instant \(t_{4}\). You adjust your pull so that it continues moving at that speed until it reaches the height of the dock at instant \(t_{5}\). Use a system of water, Earth, trap, and lobster.

(a) Do you do any work on the system in the interval from \(t_{3}\) to \(t_{5}\) ?

(b) What forces are exerted on the trap as it rises?

(c) Draw an energy diagram for this system from instant \(t_{3}\) to instant \(t_{5}\). In your diagram, there are two kinds of energy you have to combine because you have no way to separate them from each other. Indicate this in your labels.

Data from Problem 27

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.