Final answer:
The force applied by the car brakes can be calculated using Newton's First and Second Laws. After converting the car's speed from km/h to m/s and determining its deceleration, we can use the equation Force = Mass * Deceleration to get the force applied by the brakes, which is approximately -504 Newtons.
Step-by-step explanation:
The question is related to the force exerted to stop a car. This is a physics problem that involves the concept of Newton's First Law (Law of Inertia) and Newton's Second Law (the force equals mass times acceleration). We can find the force applied by the brakes by first calculating the deceleration of the car, then using Newton's Second Law.
To begin, we have to convert the speed from km/h to m/s. The conversion ratio is 1 km/h = 0.28 m/s. So, 36 km/h becomes (36 * 0.28 =) 10.08 m/s.
Then, we calculate the deceleration, which is the change in speed divided by the time it takes for that change to take place. That is: Deceleration = (Final Speed - Initial Speed) / Time, so Deceleration = (0 m/s - 10.08 m/s) / 10 sec = -1.008 m/s². The negative sign indicates a decrease in speed - or deceleration.
Finally, we apply Newton's Second Law, which is Force = Mass * Acceleration (or in our case Deceleration, since the speed of the car is decreasing). Therefore, the Force = 500 kg * (-1.008 m/s²) which is approximately -504 Newtons. The negative sign here indicates that the force is being applied in the opposite direction to the movement of the car - it's what slows it down.
Learn more about Calculating Force