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A paratrooper pilot fell 365 m after jumping without his parachute opening. He l

ID: 1987775 • Letter: A

Question

A paratrooper pilot fell 365 m after jumping without his parachute opening. He landed in a snowbank, creating a crater 1.3 m deep, but survived with only minor injuries. Assume the pilot's mass was 76 kg and his terminal velocity was 30 m/s.

(a) Estimate the work done by the snow in bringing him to the rest.
-34200 J
(b) Estimate the average force exerted on him by the snow to stop him.
26307.7 N
(c) Estimate the work done on him by the air resistance as he fell.
_______ J [answer is NOT 271852J or 237652J]

** i only need part c, please help!!

Explanation / Answer

(a)Work done by snow= 0.5 mvt2
= 0.5 * 76 * 302

=34200 Joules

(b)acceleration= vt2/2s = 346.15

Force= ma = 26307.69 N

(c)work done by air = mgh - 0.5mvt2

=76*9.8*365 - 34200

=271852 - 34200

=237652 Joules

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