Understanding Braking Distance: Weight & Slide to Stop Time

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SUMMARY

The discussion clarifies that the weight of a car does not affect the "slide to stop" time when braking, as both inertia and deceleration force are proportional to the car's mass. The relationship is defined by the equations of motion, where inertia is represented as ma and the deceleration force as mgk, with 'm' being mass, 'g' the acceleration due to gravity, and 'k' the coefficient of friction. When equating these forces, the mass cancels out, leading to a constant deceleration 'a' equal to gk. This principle is fundamental in understanding braking dynamics.

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  • Basic understanding of Newton's laws of motion
  • Familiarity with the concepts of inertia and friction
  • Knowledge of the coefficient of friction
  • Understanding of acceleration due to gravity (g)
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  • Learn about the coefficient of friction and its impact on vehicle dynamics
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curiousguy
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I haven't taken physics in my college curriculum yet, so could someone help me understand why when slamming the brakes on my car, the weight of my car isn't a factor in the "slide to stop" time? Assuming I am not pulling weight behind me (trailor or something) and I have no collision with anything inbetween slamming on the brakes and stopping. Thanks!
 
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The reason is that the both the inertia and the deceleration force are proportional to the car's mass. The first is ma, and the second is weight times coefficient of friction k, or mgk. Equate the two and the mass cancels. Deceleration a is equal to gk. C'est tout.
 

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