An airplane pilot fell 380 m after jumping from an aircraft without his parachute opening. He landed in a snowbank, creating a crater 1.0 m deep, but survived with only minor injuries. Assuming the pilot's mass was 85 kg and his terminal velocity was 50 m/s, estimate the following. (a) the work done by the snow in bringing him to the rest

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The story sure is exciting.  But when you're ready to work on answering the question, you can ignore everything before the assumptions. -- When the pilot hit the snow, he was allegedly falling at 50 m/s. -- His mass is 85 kg. -- So his kinetic energy was (1/2) (mass) (speed squared) =                                              (1/2) (85) (50)² =  106,250 joules -- That's the energy that something else has to absorb in order to reduce his speed to zero. -- How far he fell, or what size crater he made in the snow, are irrelevant.

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