Question

What relationship must exist between an applied force and the velocity of a moving object if uniform circular motion is to result?

Answer 1

Note that the centripetal force is proportional to the square of the velocity, implying that a doubling of speed will require four times the centripetal force to keep the motion in a circle.

Answer 2

See explanation

Step-by-step explanation:

Centripetal force is defined as the inward force required to keep an object moving with a constant speed in a circular path.

The magnitude of this force depends on the mass of the object, radius of the object and the velocity of the body.

So we can write;

F = mv^2/r