Question

Asked Jul 30, 2019

327 views

The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed. Suppose that

200

pounds of force keeps a

3200

-pound car from skidding on a curve of radius

400

ft

at

25

mph

. What force would keep the same car from skidding on a curve of radius

550

ft

at

55

mph

?

Step 1

Given: The Force (*F*) that is needed to keep a car from skidding on a curve varies inversely as the radius (*r*) of the curve, and jointly as the weight (*w*) of the car and square of the car’s speed (*s*).

Step 2

In order to obtain the force that would keep the same car on a radius of 550 ft at 55 mph, assume *w* as constant.

Step 3

Obtain the value of *...*

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