Question

A centripetal force of 1,400 newtons acts on a car rounding a curve with a radius of 150 meters. If the car has a mass of 2,100 kilograms, find its velocity, in meters per second.

Answer 1

In circular motion, the centripetal force is v²/R , and the
centripetal force is (mass) x (acceleration) = M v²/R .

1400 = 2100 v² / 150

Divide each side by 2100 : 2/3 = v² / 150

Multiply each side by 150 : 100 = v²

Square root each side: v = 10 m/s .