What is the centripetal force of an object undergoing uniform circular motion when its radius is doubled and its speed remains constant?

A.

the same as before

B.

twice as great as before

C.

half as great as before

D.

four times as great as before

C

Explanation:

Now the centripetal force is that force that keeps the object on course along the circle;

This is expressed mathematically as;

F = mv^2 / r

Where F - centripetal force

m - mass of the object

v - velocity of the object

r - raduis

Note from the expression as r increases F decreases so if v and the mass is constant if r doubles F will reduce by half.