Question

What is the power of a motor that can accelerate a 1700 kg car from rest to 30.0 m S in 5.0 seconds?

Answer 1

The power of the motor is 153000 watts.

Step-by-step explanation:

It is given that,

Mass of the car, m = 1700 kg

Initially, it is at rest, u = 0

Final velocity of the car, v = 30 m/s

Time taken, t = 5 s

We need to find the power of a motor. Work done per unit time is called power of the motor. We know that the change in kinetic energy is equal to the work done i.e.

`P=(W)/(t)=(\Delta E)/(t)`

`P=((1)/(2)mv^2)/(t)`

`P=((1)/(2)* 1700\ kg* (30\ m/s)^2)/(5\ s)`

P = 153000 watts

So, the power of the motor is 153000 watts. Hence, this is the required solution.