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17 October, 04:25

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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  1. 17 October, 04:40
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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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