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Coefficient of static friction-glass resting in moving car

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A coffee cup on the horizontal dashboard of a car slides forward when the driver decelerates from 44.4 km/hr to rest in 3.65 s or less, but not if he decelerates in a longer time. What is the coefficient of static friction between the cup and the dash?

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Initial velocity of the car u = 44.4 km/hr

u = 44.4 * (5/18) m/s = 12.33 m/s

Final velocity V = 0

We can write, v = u + at .....(1)

where a is the ...

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