Find the total stopping distance of a car with a braking force of 5000 N, a mass of 1000 kg and moving at a speed of 20 m/s.

Sure, to find the total stopping distance of a car, we need to first find the deceleration of the car using the formula:

F = ma

where: F is the force applied, m is the mass of the object, and a is the acceleration (or in this case, deceleration).

Given that the braking force F is 5000 N and the mass m is 1000 kg, we can rearrange the formula to solve for a:

a = F/m = 5000 N / 1000 kg = 5 m/s²

This means the car is decelerating at a rate of 5 m/s².

Next, we use the formula for stopping distance:

d = (v²) / (2a)

where: d is the stopping distance, v is the initial speed, and a is the deceleration.

Given that the initial speed v is 20 m/s and the deceleration a is 5 m/s², we can substitute these values into the formula:

d = (20 m/s)² / (2 * 5 m/s²) = 400 m²/s² / 10 m/s² = 40 m

So, the total stopping distance of the car is 40 meters.