a 2000 kg car rounds a circular turn of radius 20.0 meters. if the road is flat and the coefficient of static friction between the tires and the road is .70, how fast can the car go without skidding

2 answers

μ = 0.7
N = mg
g = 9.8 m/s^2
m = 2000 kg
a = angular acceleration = v^2/r

F = μN = ma =mv^2/r
v = sqrt(μNr/m) = sqrt(μgr) = 12 m/s
1)first find the FN
Fn = m x g

2)then find the Ff using the Ff = us x Fn

3) use F = ma formula and isolate a
a = F/m

4) finally use a = V^2/r formula

you will then get 11.719...N
hope this helped