What power output (in horsepower) of the engine of a 1.20 x 10^3 kg car if it can go from 25.0 km/hr to 100. km/hr in 12.0 s?

Respuesta :

Answer:

48.5 hp

Explanation:

[tex]m[/tex]  = mass of the car = 1200 kg

[tex]v_{o}[/tex]  = initial speed of the car = 25 km/hr = 6.94 m/s

[tex]v}[/tex]  = final speed of the car = 100 km/hr = 27.78 m/s

[tex]t[/tex] = time interval = 12 s

Power output of the engine is given as

[tex]P = (0.5)\left ( \frac{m}{t} \right ) (v^{2} - v_{o}^{2})[/tex]

[tex]P = (0.5)\left ( \frac{1200}{12} \right ) (27.78^{2} - 6.94^{2})[/tex]

[tex]P = 36178.24[/tex] W

we know that , 1 hp = 746 W

[tex]P = \frac{36178.24}{746}[/tex] hp

[tex]P = 48.5[/tex] hp