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vodomira [7]
3 years ago
11

A curve in a stretch of highway has radius R. The road is not banked in any way. The coefficient of static friction between the

tires and the road is . What is the fastest speed that a car can safely travel around the curve
Physics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

maximum possible velocity = \sqrt{ugR}

Explanation:

centripetal acceleration when the  car is going in the circle must be less than the maximum friction for the car to not slip.

centripetal acceleration \frac{mv^{2}}{r}

where v is the velocity of car and r is the radius of circle

maximum friction = umg

where u is the coefficient of static friction.

thereforeumg\geq \frac{mv^{2}}{R}

therefore maximum possible velocity = \sqrt{ugR}

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