If it take a force of 10,000N to accelerate a car with a mass of 1250KG at a rate of 6m/s^2, what is the force of friction acting against the car?

To find the force of friction acting against the car, we need to determine the net force acting on the car first. The net force is the sum of all forces acting on an object.

In this case, the force of friction is opposing the force required to accelerate the car. Therefore, we can write the equation for net force as:

Net force = Force to accelerate the car - Force of friction

The force to accelerate the car can be calculated using Newton's second law of motion, which states that force equals mass multiplied by acceleration:

Force to accelerate the car = mass × acceleration

Plugging in the given values, we have:
Force to accelerate the car = 1250 kg × 6 m/s^2

Now, we can rearrange the equation for net force to solve for the force of friction:
Net force = Force to accelerate the car - Force of friction

Rearranging the equation, we find:
Force of friction = Force to accelerate the car - Net force

Since we are given the force to accelerate the car (10,000 N), we just need to substitute the values into the equation to find the force of friction:
Force of friction = 10,000 N - Net force

However, we still need to calculate the net force acting on the car. The net force can be calculated using Newton's second law of motion as well:
Net force = mass × acceleration

Plugging in the given values, we have:
Net force = 1250 kg × 6 m/s^2

Finally, we can substitute the calculated net force into the equation for the force of friction to find the answer.