Final answer:
The magnitude of the average force required to stop the car is 3600 N.
Step-by-step explanation:
To find the magnitude of the average force required to stop a car, we can use the equation:
F = m * a
where F is the force, m is the mass of the car, and a is the acceleration. In this case, the car's mass is 1100 kg and the time it takes to stop is 8.0 seconds. Since we're given the initial velocity but not the acceleration, we need to calculate it using the formula:
a = (v - u) / t
where v is the final velocity, u is the initial velocity, and t is the time taken to stop. Plugging in the values, we have:
a = (0 - 26.4) / 8.0 = -3.3 m/s^2
Now, we can substitute the values into the force equation:
F = 1100 kg * (-3.3 m/s^2) = -3630 N
The negative sign indicates that the force is acting in the opposite direction of the car's motion. Rounding to the nearest hundred newtons, the magnitude of the average force required to stop the car is 3600 N.