The dominant form of drag experienced by vehicles bikes, cars, planes, etc.) at operating speeds is alled form drag. It increases quadratically with elocity (essentially because the amount of air you un into increases with v and so does the amount of orce you must exert on each small volume of air). hus Farag = Ca Av² where A is the cross-sectional area of the vehicle and Ca is called the coefficient of drag. Part A Consider a vehicle moving with constant velocity . Find the power dissipated by form drag. Express your answer in terms of Cd, A, and speed v. ►View Available Hint(s) P = Submit Part B 195] ΑΣΦ ? A certain car has an engine that provides a maximum power Po. Suppose that the maximum spee drag force proportional to the square of the speed (as in the previous part). The car engine is now power P₁ is 10 percent greater than the original power (P₁ = 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 sp By what percentage, (v₁-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)

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Problem 99A
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The dominant form of drag experienced by vehicles
bikes, cars, planes, etc.) at operating speeds is
alled form drag. It increases quadratically with
elocity (essentially because the amount of air you
un into increases with v and so does the amount of
orce you must exert on each small volume of air).
hus
Fdrag = Ca Av²,
where A is the cross-sectional area of the vehicle and
Ca is called the coefficient of drag.
▼
Part A
Consider a vehicle moving with constant velocity . Find the power dissipated by form drag.
Express your answer in terms of Ca, A, and speed v.
►View Available Hint(s)
P =
Submit
Part B
135] ΑΣΦ
?
A certain car has an engine that provides a maximum power Po. Suppose that the maximum spee
drag force proportional to the square of the speed (as in the previous part). The car engine is now
power P₁ is 10 percent greater than the original power (P₁ = 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 sp
By what percentage, (v1-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)
Transcribed Image Text:The dominant form of drag experienced by vehicles bikes, cars, planes, etc.) at operating speeds is alled form drag. It increases quadratically with elocity (essentially because the amount of air you un into increases with v and so does the amount of orce you must exert on each small volume of air). hus Fdrag = Ca Av², where A is the cross-sectional area of the vehicle and Ca is called the coefficient of drag. ▼ Part A Consider a vehicle moving with constant velocity . Find the power dissipated by form drag. Express your answer in terms of Ca, A, and speed v. ►View Available Hint(s) P = Submit Part B 135] ΑΣΦ ? A certain car has an engine that provides a maximum power Po. Suppose that the maximum spee drag force proportional to the square of the speed (as in the previous part). The car engine is now power P₁ is 10 percent greater than the original power (P₁ = 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 sp By what percentage, (v1-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)
les
bu
t of
-).
e and
P=
Submit
Part B
Assume the following:
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 of the speed (as in the previous part). The car engine is now modified, so that the new
power P₁ is 10 percent greater than the original power (P₁ = 110%P).
(v1-vo)/vo=
Submit
• 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, (v₁ - vo)/vo, is the top speed of the car increased?
Express the percent increase in top speed numerically to two significant figures.
► View Available
Provide Feedback
O
Hint(s)
Hint(s)
3
VO ΑΣΦ
..
?
%
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Transcribed Image Text:les bu t of -). e and P= Submit Part B Assume the following: 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 of the speed (as in the previous part). The car engine is now modified, so that the new power P₁ is 10 percent greater than the original power (P₁ = 110%P). (v1-vo)/vo= Submit • 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, (v₁ - vo)/vo, is the top speed of the car increased? Express the percent increase in top speed numerically to two significant figures. ► View Available Provide Feedback O Hint(s) Hint(s) 3 VO ΑΣΦ .. ? % Next >
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