A bottlenose dolphin (Tursiops truncatus) is about 2.5 m long and has a mass of 250 kg. It can jump 3.5 m above the surface of the water while flipping nose-to-tail at 5.6 rad/s, fast enough to complete 1.5 rotations before landing in the water.

(a) How much energy must the dolphin generate to jump 3.5 m above the surface of the water?

(b) If the dolphin's moment of inertia about its rotation axis is 225 kg · m2, how much energy must the dolphin generate to rotate its body in this way?