The dominant form of drag experienced by vehicles (bikes, cars,planes, etc.) at operating speeds is called...

  

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The dominant form of drag experienced by vehicles (bikes, cars,planes, etc.) at operating speeds is called form drag. Itincreases quadratically with velocity (essentially because theamount of air you run into increases with and so does the amount of force you must exert on eachsmall volume of air). Thus Fdrag = C₁ Av², where Ais the cross-sectional area of the vehicle and Ca is called the coefficient of drag. part A Consider a vehicle moving with constantvelocity. Find the power dissipated by form drag. Express your answer in terms of Ca, A,and speed v. part B A certain car has an engine that provides amaximum power. Suppose that the maximum speed of the car, 1%, is limited by a drag force proportional to the square ofthe speed (as in the previous part). The car engine is nowmodified, so that the new power P₁ is 10 percent greater than the original power (P₁ = 110% Po). Assume the following: The top speed is limited by air drag. • The magnitude of the force of air drag at these speeds isproportional to the square of the speed. By what percentage, (₁-1)/0, is the top speed of the car increased? Express the percent increase in topspeed numerically to two significant figures. The dominant form of drag experienced by vehicles (bikes, cars,planes, etc.) at operating speeds is called form drag. Itincreases quadratically with velocity (essentially because theamount of air you run into increases with and so does the amount of force you must exert on eachsmall volume of air). Thus Fdrag = C₁ Av², where Ais the cross-sectional area of the vehicle and Ca is called the coefficient of drag. part A Consider a vehicle moving with constantvelocity. Find the power dissipated by form drag. Express your answer in terms of Ca, A,and speed v. part B A certain car has an engine that provides amaximum power. Suppose that the maximum speed of the car, 1%, is limited by a drag force proportional to the square ofthe speed (as in the previous part). The car engine is nowmodified, so that the new power P₁ is 10 percent greater than the original power (P₁ = 110% Po). Assume the following: The top speed is limited by air drag. • The magnitude of the force of air drag at these speeds isproportional to the square of the speed. By what percentage, (₁-1)/0, is the top speed of the car increased? Express the percent increase in topspeed numerically to two significant figures.