Final answer:
The car will accelerate at a rate of 10 m/s² if it produces 5000N of force.
Step-by-step explanation:
To calculate the acceleration of the car, we can use Newton's Second Law of Motion, which states that force equals mass times acceleration (F = ma). In this case, the force is 5000 N and the mass is 500 kg, so we can rearrange the equation to solve for acceleration:
5000N = 500kg × a
Now we can solve for acceleration:
a = 5000N ÷ 500kg = 10 m/s²
Therefore, the car will accelerate at a rate of 10 m/s² if it produces 5000N of force.