A 1200kg car rounds a curve of radius of 50m with a speed of 80km/hr. What is the coefficient of friction if the car is just about to skid off the road?

I got:
ac= 9.88m/s2
Fc= 11851N
I also know Ff=uFN but have no idea how to figure this out. Thx.

1 answer

Ac = v^2/R
F = m Ac = m v^2/R
but
F = mu m g
so
mu m g = m v^2/R

mu = (v^2/R)/g

ratio of centripetal acceleration to gravitational acceleration :)

by the way on earth g is more like 9.81 m/s^2, not 9.88