A 1200-kg car reaches a speed of 11 m/s from rest in 10 seconds. Determine the cars power.

Divide the final kinetic energy by 10 seconds. That will be the power in Watts.

746W = 1 horsepower, if you want to convert to those units.

11 m/s is pretty slow for a car. Some humans can run that fast. To take 10 seconds to reach that speed is much too long for highway driving.

To determine the car's power, we need to calculate the amount of work done on the car in 10 seconds. The work done on an object is equal to the force applied to it multiplied by the distance it moves. In this case, the car is accelerating from rest, so we can use the equation for work done during uniform acceleration:

Work = (1/2) * mass * velocity^2

where mass is the mass of the car (1200 kg) and velocity is the final velocity of the car (11 m/s).

First, let's calculate the work done:

Work = (1/2) * 1200 kg * (11 m/s)^2
= 6600 kg⋅m^2/s^2

Now, we know that power is defined as the rate at which work is done, or the amount of work done per unit of time. So, to calculate the power, we need to divide the work by the time taken (10 seconds):

Power = Work / Time
= 6600 kg⋅m^2/s^2 / 10 s
= 660 kg⋅m^2/s^3

Therefore, the power of the car is 660 kilowatts (kW).