Final answer:
To find the average net force required to bring the car to rest from a speed of 80 km/h within a distance of 150 m, we can use the equations of motion. After converting the speed to meters per second, we can use the kinematic equation to find the acceleration. Substituting the mass and acceleration into the equation F = ma gives us the average net force.
Step-by-step explanation:
To find the average net force required to bring the car to rest, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. First, we need to convert the speed of the car from km/h to m/s. Since 1 km/h is equal to 0.278 m/s, the speed of the car is 80 km/h × 0.278 m/s/km/h = 22.22 m/s.
Next, we can use the kinematic equation v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance. The final velocity is 0 m/s, the initial velocity is 22.22 m/s, and the distance is 150 m. Rearranging the equation to solve for the acceleration, we have a = (v² - u²) / (2s) = (0 - (22.22)²) / (2 × 150) = - 0.49416 m/s².
Now, substituting the mass and acceleration into the equation F = ma, we get F = (1700 kg) × (-0.49416 m/s²) = -839.99 N. We take the magnitude of the force, ignoring the negative sign, to obtain the average net force required to bring the car to rest.
Therefore, the correct answer is option e. 2798 N.