what percentage, (vi – vo)/vo, is the top speed of the car increased?

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 79P: Drag Force and Terminal Speed The terminal velocity of a person falling in air depends upon the...
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Part B
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B Review | Constant
Part A
The dominant form of drag experienced by vehicles (bikes, cars,
planes, etc.) at operating speeds is called form drag. It increases
quadratically with velocity (essentially because the amount of air you
run into increases with v and so does the amount of force you must
exert on each small volume of air). Thus
Consider a vehicle moving with constant velocity i. Find the power dissipated by form drag.
Express your answer in terms of Ca, A, and speed v.
> View Available Hint(s)
Farag = Ca Au?,
where A is the cross-sectional area of the vehicle and Ca is called the
coefficient of drag.
aνα ΑΣφ
?
P=
Submit
Part B
A certain car has an engine that provides a maximum power Po. Suppose that the maximum speed of the car, vo, is limited by a drag force proportional to the square a
the speed (as in the previous part). The car engine is now modified, so that the new power P is 10 percent greater than the original power (P = 110%P).
!!
Assume the following:
• The top speed is limited by air drag.
• The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, (vi – vo)/vo, is the top speed of the car increased?
Express the percent increase in top speed numerically to two significant figures.
> View Available Hint(s)
?
(v1 – vo)/vo =
!3!
Submit
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Transcribed Image Text:publeshooter | Intera X Course Home P Keyboard shortcuts for entering x + -html?courseld=17221332&OpenVellumHMAC=93343914c857458c3d89df2d7be78e70#10001 B Review | Constant Part A The dominant form of drag experienced by vehicles (bikes, cars, planes, etc.) at operating speeds is called form drag. It increases quadratically with velocity (essentially because the amount of air you run into increases with v and so does the amount of force you must exert on each small volume of air). Thus Consider a vehicle moving with constant velocity i. Find the power dissipated by form drag. Express your answer in terms of Ca, A, and speed v. > View Available Hint(s) Farag = Ca Au?, where A is the cross-sectional area of the vehicle and Ca is called the coefficient of drag. aνα ΑΣφ ? P= Submit Part B A certain car has an engine that provides a maximum power Po. Suppose that the maximum speed of the car, vo, is limited by a drag force proportional to the square a the speed (as in the previous part). The car engine is now modified, so that the new power P is 10 percent greater than the original power (P = 110%P). !! Assume the following: • The top speed is limited by air drag. • The magnitude of the force of air drag at these speeds is proportional to the square of the speed. By what percentage, (vi – vo)/vo, is the top speed of the car increased? Express the percent increase in top speed numerically to two significant figures. > View Available Hint(s) ? (v1 – vo)/vo = !3! Submit Provide Feedback Next > P Pearson
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