Question

Problem #10 What is the power in horsepower (hp) required to overcome air resistance given that the coeficient of resistance (b) is 2.70 Nt-s2/m2 and the speed (v) is 116 mph (52 m/s), given that the car has a mass (m) of 1,200 k g? Ignore the power required to climb a the AC.) hill Enter value of the Power (P) in hp: (or type E to end): I or run

Answer 1

If car is accelerated to speed v, so it's kinetic energy is 1/2 mv^2 = 1/2 (rho A dx) v^2 work done in accelerating car is 1/2 b(rho A dx) v^2 Power required = 1/2 b (rho A dx) v^2/dt Power = 1/2 b(rho A v^3) = b(1/2 mv^2 times v) = 1/2 times 1200 times 2.7 times (52)^3 p = 3.099 times 10^5 hp = 2.27 times 10^8 Watt

please rate it up thanks :)