A paratrooper fell 370 m after jumping from an aircraft without his parachute opening. He landed in a snowbank, creating a crater 1.1 m deep, but survived with only minor injuries. Assuming the paratrooper's mass was 80 kg and his terminal velocity was 30 m/s, estimate:
(a) the work done by the snow in bringing him to rest;
(b) the average force exerted on him by the snow to stop him; and
(c) the work done on him by air resistance as he fell.