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.

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

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
%3D
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
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 %3D 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
Write powers or subscript as is. Ex: Use b2 if you mean
b2
or b2
Write transcendental functions as is. Ex. Use costheta if you mean cose.
Spell out Greek letters. Ex: Use pi if you mean A
Write answers without spaces. Ex: Use 2epsilonOr3 if you mean 2ɛ r³.
Write fractions with a slash. Ex: Use 1/2 if you mean
Transcribed Image Text:Write powers or subscript as is. Ex: Use b2 if you mean b2 or b2 Write transcendental functions as is. Ex. Use costheta if you mean cose. Spell out Greek letters. Ex: Use pi if you mean A Write answers without spaces. Ex: Use 2epsilonOr3 if you mean 2ɛ r³. Write fractions with a slash. Ex: Use 1/2 if you mean
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