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What is the net centripetal force needed to keep the car from skidding sideways?

ID: 2025396 • Letter: W

Question

What is the net centripetal force needed to
keep the car from skidding sideways?
Answer in units of N.

Were there no friction between the car’s tires
and the road, what centripetal force could be
provided just by the banking of the road?
Answer in units of N.

Now suppose the friction force is sufficient to
keep the car from skidding. Calculate the
magnitude of the normal force exerted on the
car by the road’s surface. Hint: Check the
correctness of your answer to the first question
before proceeding with this and the following
questions.
Answer in units of N.

Calculate the magnitude of the friction force.
Answer in units of N.

Calculate the lowest possible value of the
static friction coefficient s that would pre-
vent the car from skidding.

Explanation / Answer

F(friction) = µN = µmgsin(21°) F(centripedal) = (mv²/R)cos(21°) = plug in numbers µmgsin(36°) = (mv²/R)cos(21°) µ = [v² cot(21°)] / gR = plug in numbers rate please!

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