A falling package with a parachute is greatly affected by air resistance. Suppose a package (m = 25 kg), dropped from an altitude of y = 1500 m, hits the ground at a speed of v = 45 m/s. Calculate the work done by air resistance. By conservation of energy, the initial total mechanical energy is equal to the final total mechanical energy. Let K be the kinetic energy, U be the gravitational potential energy, and Wair be the work done by the drag force from air resistance. E1 = E2 K1 + U1 + Wair = K2 + U2 Some of the terms in the equation above are zero so it can be simplified to: + Wair = Isolating the work done by air resistance, we get: Wair = 2 - m %3D Plugging in the values given, the work done by air resistance is: Wair = 2.19 kJ
A falling package with a parachute is greatly affected by air resistance. Suppose a package (m = 25 kg), dropped from an altitude of y = 1500 m, hits the ground at a speed of v = 45 m/s. Calculate the work done by air resistance. By conservation of energy, the initial total mechanical energy is equal to the final total mechanical energy. Let K be the kinetic energy, U be the gravitational potential energy, and Wair be the work done by the drag force from air resistance. E1 = E2 K1 + U1 + Wair = K2 + U2 Some of the terms in the equation above are zero so it can be simplified to: + Wair = Isolating the work done by air resistance, we get: Wair = 2 - m %3D Plugging in the values given, the work done by air resistance is: Wair = 2.19 kJ
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Transcribed Image Text:A falling package with a parachute is greatly affected by air resistance. Suppose a package (m = 25 kg), dropped from an altitude of y
= 1500 m, hits the ground at a speed of v = 45 m/s. Calculate the work done by air resistance.
By conservation of energy, the initial total mechanical energy is equal to the final total mechanical energy. Let K be the kinetic energy,
U be the gravitational potential energy, and Wair be the work done by the drag force from air resistance.
E1 = E2
%D
K1 + U1 + Wair = K2 + U2
%D
Some of the terms in the equation above are zero so it can be simplified to:
+ Wair =
Isolating the work done by air resistance, we get:
Wair = 2
- m
Plugging in the values given, the work done by air resistance is:
Wair
2.19 kJ
%3D
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