Work done on a falling pilot by air resistance?

Question

An airplane pilot fell 350 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 pilot's mass was 81 kg and his terminal velocity was 50 m/s. What is the work done on him by the air resistance as he fell?

Answer 1

It is difficult to answer this question exactly however his kinetic energy Ke at the impact and its potential energy Pe are known. The conservations of energy is

Pe= W(air) + Ke
Then it fallows that
W(air) = Pe-Ke= m(gh - (1/2)V^2)
W(air) = 81(350x9.81 - (1/2) 50^2)=
W(air)=176,900 J