What speed limit should be posted for the curve so that cars can negotiate it safely?

Question

On a highway curve with radius 44 m, the maximum force of static friction (centripetal force) that can act on a 1,373-kg car going around the curve is 8,127 N. What speed limit should be posted for the curve so that cars can negotiate it safely?

Answer 1

mv²/r = F. from here limit speed is v = (Fr/m)^1/2 = (8127N·44m/1373kg)^1/2 = 16.14 m/s