What Is the Static Coefficient of Friction Between the Object and the Dash?

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SUMMARY

The discussion focuses on calculating the static coefficient of friction for an object sliding on a car's dashboard during deceleration. The scenario involves a car decelerating from 50 km/h to 0 in 3.0 seconds, leading to the object sliding forward. The user identifies the need for acceleration calculations using the equation v=vi + at, but struggles with the lack of mass to apply Newton's second law (F=ma) effectively. The conclusion emphasizes the importance of knowing the mass to determine the static coefficient of friction accurately.

PREREQUISITES
  • Understanding of kinematics, specifically the equations of motion.
  • Familiarity with Newton's laws of motion, particularly F=ma.
  • Knowledge of friction concepts, including static and kinetic friction.
  • Basic algebra skills for solving equations with multiple variables.
NEXT STEPS
  • Research how to calculate static friction using the formula μs = Ff / Fn.
  • Learn about the relationship between mass, weight, and normal force in friction problems.
  • Explore advanced kinematics to solve for unknowns in motion equations.
  • Study real-world applications of static friction in automotive scenarios.
USEFUL FOR

Students in physics, automotive engineers, and anyone interested in understanding the principles of motion and friction in practical applications.

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Homework Statement



An object is on the dash of a car and it slides forward when the driver decelerates from 50 km/h to 0 in 3.0s or less. If the driver decelerates over a longer time it doesn't slide. What is the static coefficient?

Homework Equations



I'm not sure. I have tried several but I feel like every equation has two unknowns. If I use v=vi + at I can get acceleration. But, then what? I don't have a mass, and it seems that I need that for F=MA, or F=mg, or to figure out Fn.

The Attempt at a Solution



I've figured out the Acceleration by using v=vi + at. I can figure out the distance traveled in 3.0s by using x=x1 + Vxt + 0.5gt~2. But without mass, I don't know what else to calculate.
 
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Suppose you do know the mass; call it m. What would you have as an answer?
 

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