Final answer:
To find the work done by the car, we can use the equation: Work = Force × Distance. Given that the force applied is 250 N and the distance covered is the distance it takes for the car to accelerate from rest to 42 m/s, we can calculate the work done. Therefore, the car does 3150 J of work.
Step-by-step explanation:
To find the work done by the car, we can use the equation:
Work = Force × Distance
Given that the force applied is 250 N and the distance covered is the distance it takes for the car to accelerate from rest to 42 m/s, we can calculate the work done.
Since the car starts from rest, we can use the equation:
Final Velocity = Initial Velocity + (2 × Acceleration × Distance)
Final Velocity = 42 m/s, Initial Velocity = 0, Acceleration = Force / Mass, and Mass = 1700 kg.
By substituting the given values into the equation and solving for distance, we find that the distance covered is 12.6 m.
Now, we can calculate the work done:
Work = Force × Distance = 250 N × 12.6 m = 3150 J
Therefore, the car does 3150 J of work.