A highway curves to the left with a radius of curvature of 42 m and is banked at 19◦ so that cars can take this curve at higher speeds. Consider a car of mass 1830 kg whose tires have a static friction coefficient 0.52 against the pavement. How fast can the car take this curve without skidding to the outside of the curve? The acceleration of gravity is 9.8 m/s2

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Chapter6: Uniform Circular Motion And Gravitation
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1a)A highway curves to the left with a radius of curvature of 42 m and is banked at 19 so that cars can take this curve at higher speeds. Consider a car of mass 1830 kg whose tires have a static friction coefficient 0.52 against the pavement. How fast can the car take this curve without skidding to the outside of the curve? The acceleration of gravity is 9.8 m/s2 .

b)A coin is placed 34 cm from the center of a horizontal turntable, initially at rest. The turntable then begins to rotate. When the speed of the coin is 130 cm/s (rotating at a constant rate), the coin just begins to slip. The acceleration of gravity is 980 cm/s2 . What is the coefficient of static friction between the coin and the turntable?

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