multiple choice question a car goes around a curve of radius r at a constant speed v. then it goes around the same curve at double the original speed. what is the centripetal acceleration of the car as it goes around the curve for the second time, compared to the first?



Answer :

The centripetal force is a type of force that makes a body turn around forcefully so that it can take a circular or curved path.

The centripetal force on the car as it goes around the second curve is twice that compared to the first.

Let us understand more about the centripetal force.

Centripetal force is the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation.

The formula of Centripetal force is:

F(c) = (m* v^2) / r

Here,

In this, at the first curve we observe,

The curve of radius = r

The constant speed = v

Now at the second curve we observe,

The car speed (v')= 2 v

The radius of the curve (r')=2 r

According to the formula of centripetal Force:

As the car goes around the second curve,

F'(c) = m*v'^2 / r'

F'(c) = m* (2*v)^2 / 2r

F'(c) = 2* F

Thus,

The centripetal force on the car as it goes around the second curve is twice that compared to the first.

Learn more about centripetal force here:

brainly.com/question/14317060

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