A car is traveling with a kinetic energy if 2200 J. If a braking force of 1100 N is applied to the car, how far will the car travel before it stops?

recall that v^2 = 2as = 2E/m

a = F/m

so, s=2

To determine the distance the car will travel before it stops, we need to use the equation for work done. The work done on an object is equal to the product of force applied and the distance over which it is applied.

The work done on the car by the braking force will be equal to the negative change in kinetic energy, since the car is being brought to a stop. The formula for work done is:

Work = Force × Distance

We are given the braking force as 1100 N and the kinetic energy of the car as 2200 J, so we can set up the equation:

Work = -2200 J
Force = 1100 N
Distance = ?

Since the work done is equal to the force multiplied by the distance, we can rearrange the equation to solve for the distance:

Distance = Work / Force

Substituting the given values:

Distance = -2200 J / 1100 N

Dividing -2200 J by 1100 N, we find:

Distance = -2 m

The negative sign indicates that the distance is in the opposite direction of the braking force. Therefore, the car will travel 2 meters before it comes to a stop.