brakes are applied in bringing in a 1200-kg car moving at 25 m/s to rest in 20.0 s. show that the amount of braking force is 1500n.

To calculate the amount of braking force applied to bring a car to a stop, we can use Newton's second law of motion:

Force = mass × acceleration

In this case, the acceleration refers to the deceleration of the car caused by the braking force. The deceleration can be calculated using the following equation:

Acceleration = (change in velocity) / time

Given:
Mass (m) = 1200 kg
Initial velocity (u) = 25 m/s
Final velocity (v) = 0 m/s
Time (t) = 20 s

First, we determine the change in velocity:
Change in velocity (Δv) = v - u = 0 m/s - 25 m/s = -25 m/s

Next, we calculate the acceleration:
Acceleration = (change in velocity) / time = (-25 m/s) / (20 s) = -1.25 m/s²

Finally, we find the braking force:
Force = mass × acceleration = 1200 kg × (-1.25 m/s²) = -1500 N

Since force is a vector quantity, the negative sign indicates that the braking force is acting in the opposite direction of the car's motion.

Therefore, the amount of braking force applied to bring the 1200-kg car moving at 25 m/s to rest in 20.0 s is 1500 N.