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?

Question

asked Apr 17, 2020 231k views

1 Answer

Loxley · Answer 1 · 2020-04-21T23:45:43+0000

Answer:

48.5 hp

Step-by-step explanation:

= mass of the car = 1200 kg

v_(o) = initial speed of the car = 25 km/hr = 6.94 m/s

= final speed of the car = 100 km/hr = 27.78 m/s

= time interval = 12 s

Power output of the engine is given as

$P = (0.5)\left ( (m)/(t) \right ) (v^(2) - v_(o)^(2))$

$P = (0.5)\left ( (1200)/(12) \right ) (27.78^(2) - 6.94^(2))$

P = 36178.24 W

we know that , 1 hp = 746 W

P = (36178.24)/(746) hp

P = 48.5 hp