Answered: A falling package with a parachute is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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 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 W_air be the work done by the drag force from air resistance.

E₁ = E₂

K₁ + U₁ + W_air = K₂ + U₂

Some of the terms in the equation above are zero so it can be simplified to:

Blank 1 + W_air = Blank 2

Isolating the work done by air resistance, we get:

W_air = ½Blank 3 - mBlank 4

Plugging in the values given, the work done by air resistance is:

W_air = Blank 52.19 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
Plugging in the values given, the work done by air resistance is:
Wair =
2.19 kJ

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