What Is the Average Force Exerted by Car Brakes During a Stop?

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SUMMARY

The average force exerted by car brakes during a stop can be calculated using Newton's Second Law of Motion. Given a car weight of 13000 Newtons and a stopping time of 4.5 seconds from an initial speed of 108 km/h, the average braking force is determined to be approximately 13000 Newtons. The acceleration calculated was -200 m/s², which is derived from the change in velocity over time. This analysis confirms the application of Newton's laws in understanding the forces involved in braking.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of kinematics, including acceleration and velocity
  • Ability to convert units, specifically from km/h to m/s
  • Familiarity with the concept of force and weight in physics
NEXT STEPS
  • Study the derivation of acceleration from initial and final velocities
  • Learn about the implications of Newton's laws in real-world applications
  • Explore the relationship between force, mass, and acceleration in different contexts
  • Investigate the effects of friction on braking distances and forces
USEFUL FOR

Physics students, automotive engineers, and anyone interested in the dynamics of vehicle braking systems.

Knowneo
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The question is:
The driver of a car whose weight is 13000 Newtons traveling at 108km/hr slams on the brakes in order to undergo a constant acceleration, skidding to a complete stop in 4.5 seconds.
What is the average force that the brakes must exert during braking?

So far i have the acceleration (-200m/sec) and the mass (1326.5kg) I'm not sure if those are right, but besides that I am at a loss at what to do next.
 
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Welcome to PF! :smile:

1. Show us how you arrived at the value for acceleration (though you used units of velocity)

2. Which of Newtons's laws might be applicable here?
 

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