So if we used the brake, the accleration would be?

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    Accleration Brake
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SUMMARY

The discussion centers on the effects of braking in a car and the resulting acceleration experienced by objects inside the vehicle. It emphasizes that without friction between the car and the ground, braking is impossible. The conversation references Newton's Second Law and the importance of free body diagrams (FBD) to analyze forces acting on passengers during deceleration. The key conclusion is that the acceleration of objects inside the car is influenced by the car's braking acceleration and the coefficient of friction between the occupants and the car's interior.

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  • Understanding of Newton's Second Law of Motion
  • Familiarity with free body diagrams (FBD)
  • Knowledge of friction concepts and coefficients
  • Basic principles of inertia
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  • Learn how to construct and analyze free body diagrams (FBD)
  • Research the effects of friction on motion and acceleration
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*Neglect the friction between the car and the earth, but not the friction between the stuff inside the car & the interior surface of the car*
For example, if we're moving with a car at constant speed and we used the brake to stop with constant acceleration, and the stuff inside the car included me had to go forward of course. The question here is, are we going to move forward with the same acceleration that the car stopped with?, if yes can some please one explain it with equation because I got confused if it's about inertia or Newton's third law, if no I hope you clear the idea to me, thanks in advance.
 
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Firstly, if there is no friction between the car and Earth we cannot brake. In fact we cannot even drive at all.

Consider a simpler case - no friction between you and the car:
Draw a free body diagram ( from the reference frame of the earth) and apply Newtons second law - Are there any unbalanced forces on you? So will you accelerate at all?
Now, draw another FBD, this time with friction, you can find an expression for your acceleration in terms on the car's acceleration and the coefficient of friction between you and the car.
 
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