A car with a mass of 1,500 kg requires a centripetal force of 640 N to safely follow a circular curve in the road at 13.4 m/s. What is the radius of the curve?

radius is 421 m

Answer

Radius is 421 m.

Explanation

A car with a mass of 1,500 kg requires a centripetal force of 640 N to safely follow a circular curve in the road at 13.4 m/s. Therefore, for radius we use formula which is Fc = mv ^ 2 / r,

As mass = m = 1500kg,

Centripetal force = Fc = 640N,

Velocity = v = 13.4 m / s

By putting values, Fc = mv ^ 2 / r,

r = mv ^ 2 / Fc,

=> r = (1500kg). (13.4 m / s) ^ 2 / 640,

=> r = (1500kg). (179.56) / 640,

r = 269340 / 640,

=> r = 420.84 m.

Radius is 421 m.