How do I get acceleration, distance, and time?

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SUMMARY

The discussion focuses on calculating the stopping distance of a car traveling at 20 m/s (approximately 45 mph) with a mass of 1200 kg, given the coefficients of friction of 0.4 and 0.6. To determine the stopping distance, participants suggest applying Newton's Laws and the equation ΣF=Δp/Δt to find the time of deceleration, followed by using the formula v=u-at to calculate acceleration. Ultimately, the stopping distance can be derived from these calculations, emphasizing the relationship between force, mass, and friction.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of friction coefficients
  • Familiarity with basic kinematic equations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the application of Newton's Second Law in real-world scenarios
  • Learn how to calculate stopping distances using different coefficients of friction
  • Explore kinematic equations in detail, particularly v=u+at and s=ut+1/2at²
  • Investigate the effects of mass and velocity on braking distance
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Students studying physics, automotive engineers, and anyone interested in understanding vehicle dynamics and safety measures related to braking distances.

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Homework Statement


While driving your car at 20 m/s (about 45 mph) along a country road one night, you suddenly see a deer in your headlights. Your car's mass is 1200 kg, and the coefficients of friction between its tires and the asphalt road are 0.4 and 0.6.
If you slam on your brakes and lock the wheels, how far will you skid before stopping if the road is level?
I have no idea on how or where to start.

Homework Equations

The Attempt at a Solution

 
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Take a second and step back, then write down what each number of information represents. then see what equations use the information. Then make an attempt to solve
 
NkaujHelp said:

Homework Statement


While driving your car at 20 m/s (about 45 mph) along a country road one night, you suddenly see a deer in your headlights. Your car's mass is 1200 kg, and the coefficients of friction between its tires and the asphalt road are 0.4 and 0.6.
If you slam on your brakes and lock the wheels, how far will you skid before stopping if the road is level?
I have no idea on how or where to start.

Homework Equations

The Attempt at a Solution

Certainly you know something.

Newton's Laws, friction, acceleration, velocity, time ...

How are they related?
 
Try using ΣF=Δp/Δt. You should find Δt from this equation. Then you use this one to find the acceleration: v=u-at. Can you find out what comes next?
 
Last edited:

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