Question

A car with a mass of 1240kg starts from rest and accelerates to a speed of 19.4m/s in 10.2s. Assume that the force of resistance remains constant at 376N during this time. What is the average power developed by the car's engine?

Answer 1

Answer:

Power, P = 38459.16 W

Explanation:

Given that,

Mass of a car, m = 1240 kg

Initial speed, u = 0

Final speed, v = 19.4 m/s

Time, t = 10.2 s

The resistance force, R = 376 N

We need to find the average power developed by the car's engine. It is given by the formula as follows :

$P=F\times v\\\\P=(ma-R)v\\\\P=(\dfrac{mv}{t}-R)v\\\\P=(\dfrac{1240\times 19.4}{10.2}-376)\times 19.4\\\\P=38459.16\ W$

So, the required power is 38459.16 watts.