The maximum ('terminal') velocity, Vt, that a falling object achieves depends on its mass m, the acceleration g due to gravity, the density p of the air, the object's frontal area A, and the object's drag coefficient C, which is a dimensionless quantity. The equation for the terminal velocity is: |2mg Vz = PCA Part (a): A skydiver jumps out of an airplane (regrettably) without his parachute. To slow his descent, he orients himself in a 'spread eagle' position, thereby increasing his area A to 0.70 m?. His drag coefficient Cis 1.0, which is a unitless quantity. Calculate his terminal velocity in m/s if his mass is 85 kg, the air density p is 1.21 kg/m³, and the constant g is 9.80 m/s². Show your work, and ensure that each numeric value has the appropriate units. Your answer should be rounded to the appropriate number of significant digits. Part (b): Convert the answer from part (a) to miles per hour using the dimensional analysis method we reviewed in class. Show your work, and ensure that each numeric value has the appropriate units. Your answer should be rounded to the appropriate number of significant digits. Useful conversion factors follow: 1 mile = 1609 meters, 1 hour = exactly 60 minutes, and 1 minute = exactly 60 seconds. %3D
The maximum ('terminal') velocity, Vt, that a falling object achieves depends on its mass m, the acceleration g due to gravity, the density p of the air, the object's frontal area A, and the object's drag coefficient C, which is a dimensionless quantity. The equation for the terminal velocity is: |2mg Vz = PCA Part (a): A skydiver jumps out of an airplane (regrettably) without his parachute. To slow his descent, he orients himself in a 'spread eagle' position, thereby increasing his area A to 0.70 m?. His drag coefficient Cis 1.0, which is a unitless quantity. Calculate his terminal velocity in m/s if his mass is 85 kg, the air density p is 1.21 kg/m³, and the constant g is 9.80 m/s². Show your work, and ensure that each numeric value has the appropriate units. Your answer should be rounded to the appropriate number of significant digits. Part (b): Convert the answer from part (a) to miles per hour using the dimensional analysis method we reviewed in class. Show your work, and ensure that each numeric value has the appropriate units. Your answer should be rounded to the appropriate number of significant digits. Useful conversion factors follow: 1 mile = 1609 meters, 1 hour = exactly 60 minutes, and 1 minute = exactly 60 seconds. %3D
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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Transcribed Image Text:The maximum ('terminal') velocity, vt, that a falling object
achieves depends on its mass m, the acceleration g due to gravity, the density p of the air, the object's
frontal area A, and the object's drag coefficient C, which is a dimensionless quantity. The equation for the
terminal velocity is:
2mg
V =
pCA
Part (a): A skydiver jumps out of an airplane (regrettably) without his parachute. To slow his descent, he
orients himself in a 'spread eagle' position, thereby increasing his area A to 0.70 m?. His drag coefficient
Cis 1.0, which is a unitless quantity. Calculate his terminal velocity in m/s if his mass is 85 kg, the air
density p is 1.21 kg/m3, and the constant g is 9.80 m/s?. Show your work, and ensure that each numeric
value has the appropriate units. Your answer should be rounded to the appropriate number of significant
digits.
Part (b): Convert the answer from part (a) to miles per hour using the dimensional analysis method we
reviewed in class. Show your work, and ensure that each numeric value has the appropriate units. Your
answer should be rounded to the appropriate number of significant digits. Useful conversion factors
follow: 1 mile = 1609 meters, 1 hour = exactly 60 minutes, and 1 minute = exactly 60 seconds.
%3D
%3D
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