(adsbygoogle = window.adsbygoogle || []).push({}); Physics SPH4U-A Lesson 4 Question #15

A race-car driver is driving her car at a record-breaking speed of 225km/h. The first turn on the course is banked at 15 degrees, and the car's mass is 1450kg.

a) Calculate the radius of the curvature for this turn.

b) Calculate the centripetal acceleration of the car.

c) If the car maintains a circular track around the curve (does not move up or down the bank), what is the magnitude of the force of static friction?

d) What is the coefficient of static friction necessary to ensure the safety of this turn?

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a) Fnsin(theta)=(mv^2)/r

r=(mv^2)/Fnsin(theta)

r=(1450kgx62.5m/s)/(14,711Nxsin15)

r=1488m

b.) a=v^2/r

a=(62.5m/s)^2/1488m

a=2.63m/s^2

c.) Fs=Fnsin(theta)

=(14,711Nxsin15)

=3,807N

d.) Us=Fs/Fn

=3,807N/14,711N

=0.26

Can anyone verify that I used the correct formulas and that this information is correct?

Thanks for your time,

Jayker

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