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

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To determine the static coefficient of friction between the object and the dash, the key is understanding the acceleration during deceleration. The object slides when the driver decelerates from 50 km/h to 0 in 3.0 seconds, indicating that the force of friction is insufficient to hold the object in place. Using the equation v = vi + at, the acceleration can be calculated, but without knowing the mass of the object, further calculations are hindered. The relationship between frictional force and normal force, expressed through F = μFn, requires the mass to find the static coefficient. The discussion emphasizes the need for mass to solve for the static coefficient of friction accurately.
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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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