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A Car Is Traveling on a Curve That Forms a Circular

question 30

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A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight \text {W }
Of the car and the square of its speed s, and is inversely proportional to the radius r of the curve. A car weighing 2,500 lbs travels around a curve at 70 mi/h. The next car to round this curve weighs 4,900 lbs and requires the same force as the first car to keep from skidding. How fast is the second car traveling?  A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight  \text {W }  Of the car and the square of its speed s, and is inversely proportional to the radius r of the curve. A car weighing 2,500 lbs travels around a curve at 70 mi/h. The next car to round this curve weighs 4,900 lbs and requires the same force as the first car to keep from skidding. How fast is the second car traveling?   A)  49 mi/h B)  50 mi/h C)  44 mi/h D)  54 mi/h E)  52 mi/h


Definitions:

Income Effect

The change in an individual's or household's consumption resulting from a change in real income, influencing purchasing power.

Leisure

The time spent away from work and essential activities, where one is free to engage in activities of choice.

Uber

A multinational ride-hailing company that offers services including peer-to-peer ridesharing, ride service hailing, and a food delivery app.

Wages

Payments made to employees for their labor or services, typically calculated on an hourly, daily, or piecework basis.

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