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a) A parachutist of mass mkg falls freely until his parachute is opened when it is opened, it experiences an upward resistance kv where v is its speed and k is a positive constant. Prove that after time t from the opening of its parachute, m dv = mg - kv. dt

a) A parachutist of mass mkg falls freely until his parachute is opened when it is opened, it experiences an upward resistance kv where v is its speed and k is a positive constant. Prove that after time t from the opening of its parachute, m dv = mg - kv. dt

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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a) A parachutist of mass mkg falls freely until his parachute is opened when it is opened, it experiences an upward resistance kv where v is its speed and k is a positive constant. dv Prove that after time t from the opening of its parachute, m = mg - kv. dt Prove that irrespective of his speed when he opens his parachute, his speed approaches a limiting value of mg provided he falls for sufficiently longtime. k The parachutist falls freely from rest under gravity for a time and then opens his parachute. Prove m 2k that the total distance he has fallen when his velocity is m2g 3mmg is (8ln2 - 1)m. 4k 8k2
Transcribed Image Text:a) A parachutist of mass mkg falls freely until his parachute is opened when it is opened, it experiences an upward resistance kv where v is its speed and k is a positive constant. dv Prove that after time t from the opening of its parachute, m = mg - kv. dt Prove that irrespective of his speed when he opens his parachute, his speed approaches a limiting value of mg provided he falls for sufficiently longtime. k The parachutist falls freely from rest under gravity for a time and then opens his parachute. Prove m 2k that the total distance he has fallen when his velocity is m2g 3mmg is (8ln2 - 1)m. 4k 8k2
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