Final answer:
The net force on the car during its acceleration opposite to the motion can be calculated using Newton's second law of motion. First, determine the acceleration of the car using the equation v^2_f = v^2_i + 2aΔx. Substitute the given values to find a. Finally, calculate the net force using F_net = m * a.
Step-by-step explanation:
The net force on the car during its acceleration opposite to the motion can be calculated using Newton's second law of motion:
Fnet = ma
First, we need to determine the acceleration of the car. We can use the equation:
vf^2 = vi^2 + 2aΔx
where vf is the final velocity (0 m/s), vi is the initial velocity (90.0 km/h converted to m/s), a is the acceleration, and Δx is the displacement (40.0 m). Rearranging the equation, we get:
a = (vf^2 - vi^2) / (2Δx)
Substituting the given values:
a = (0 - (90.0 km/h * (1000 m/1 km)/3600)) ^2 / (2 * 40.0 m)
Simplifying the equation, we get:
a = -6.75 m/s²
Now, we can find the net force using Newton's second law:
Fnet = m * a
where m is the mass of the car. Since the mass is not given in the question, we cannot determine the exact net force. Therefore, none of the answer choices can be confirmed correct.