Friction of a car going in circles

AI Thread Summary
The discussion focuses on calculating the acceleration and friction force of a car weighing 900 kilograms driving around a racetrack with a radius of 100 meters at a speed of 110 km/h. The calculated acceleration is 9.34 m/s², which is confirmed as correct. However, the friction force calculation of 8.65 kN is believed to be incorrect. The user applied the kinetic friction formula fk = μk * n, but the resulting force does not match expected values. Clarification and assistance with the friction calculation are requested to resolve the discrepancy.
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Homework Statement


A car that weighs 900 kilograms is driving around a racetrack, the radius of the racetrack is 100 meters. Thecar has a constant speed of 110 km/h. The friction coefficient between the tires and the track is 0.980.

Decide:

a) The car's acceleration
b) The size of the friction

Homework Equations


The Attempt at a Solution



I got a to 9.34 m/s2 which I believe is correct. I'm having a much harder time with b which I get to 8,65 kN which I know is incorrect.Please help! Thanks!
 
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could you show some equations you found
 
Ok I tried the Latex thing but I couldn't figure it out so i'll just write normally.

For the acceleration I used a = v2 / r = 30.52 / 100 = 9,34.

The second one is the one I'm sure must be wrong but I don't know what else to try. I'm using the equation for kinetic friction fk=\muk*n which should be simply 0.98*900*9.80 =8652.42 = 8.65 kN but that isn't the answer.
 
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