A car is rounding a 100-m-radius curve at 25 m/s. What is the minimum possible coefficient of static friction between the tires and the ground?

The minimum possible coefficient of static friction between the tires and the ground is 0.64.

Explanation:

if the μ is the coefficient of static friction and R is radius of the curve and v is the speed of the car then, one thing we know is that along the curve, the frictional force, f will be equal to the centripedal force, Fc and this relation is:

Fc = f

m * (v^2) / (R) = μ*m*g

(v^2) / (R) = g*μ

μ = (v^2) / (R*g)

= ((25) ^2) / ((100) * (9.8))

= 0.64

Therefore, the minimum possible coefficient of static friction between the tires and the ground is 0.64.