. Final answer
The answer is D. 10,000 N.Newton's second law of motion (F = m * a), where force is directly proportional to both mass and acceleration. In this scenario, the car's mass of 1000 kg accelerating at 1 m/s² results in a force of 10,000 N acting in the direction of its acceleration.
Step-by-step explanation
To calculate the force exerted by the car's acceleration, we can use the formula F = m * a, where F is the force, m is the mass, and a is the acceleration. First, find the acceleration using the formula a = (v_f - v_i) / d, where v_f is the final velocity (50 m/s), v_i is the initial velocity (40 m/s), and d is the distance (100 m). Plugging in these values gives us an acceleration of 1 m/s². Now, apply the formula F = m * a, where the mass of the car is given as 1000 kg. Multiplying the mass by the acceleration gives us a force of 10,000 N.
This calculation uses Newton's second law of motion (F = m * a), where force is directly proportional to both mass and acceleration. In this scenario, the car's mass of 1000 kg accelerating at 1 m/s² results in a force of 10,000 N acting in the direction of its acceleration.