A racing car has a mass of 1250kg. when the brake pedal is pushed down a constant breaking force of 10 000 N is exerted on the car. Calculate the acceleration of the car.
It's called a braking force (from the word brake), not a breaking force. The words sound the same.
The force is actually applied to the car by the road, when the wheels are required by the brakes to slow down (or to lock and skid).
Since F = m a, the acceleration rate is F/m
a = -10,000/1250 = -8 m/s^2
It is negative because it is decelerating. The brake force is opposite to the direction of motion.
To calculate the acceleration of the car, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula for calculating acceleration is:
acceleration = net force / mass
Given values:
Mass of the car (m) = 1250 kg
Braking force (F) = 10,000 N
Using the formula, we can substitute the values to find the acceleration:
acceleration = 10,000 N / 1250 kg
acceleration = 8 m/s²
Therefore, the acceleration of the car is 8 m/s².