A Car Is Traveling on a Curve That Forms a Circular

question 76

Multiple Choice

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) \(49 \mathrm { mi } / \mathrm { h }\)
• B) \(50 \mathrm { mi } / \mathrm { h }\)
• C) \(44 \mathrm { mi } / \mathrm { h }\)
• D) \(54 \mathrm {~min}\)
• E) \(52 \mathrm { mi } / \mathrm { h }\)

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Definitions:

Income

The amount of money or equivalent value received by an individual or entity in return for labor or services provided, from investments, or from other sources.

Net Demand

The difference between the total demand for a product or service and the total supply of it in the market.

Endowment

In economics, the total resources available to an individual or entity, including assets, income, and inherited resources.

Net Demand

The difference between total market demand and market supply, representing the excess demand or shortage in the market.