Answer: (1) centripetal force is inversely proportional to the radius of an object moving in a circular form.
Centripetal force = mv^{2}/r.
m=mass, v=velocity, r=radius.
(2). Doubling the mass affect the centripetal force following the fact that the centripetal force is directly proportional to the mass therefore, if the centripetal force increases four times (Radius kept constant), the mass increases two times.
(3) If radius is increased, then the centripetal force will decrease.
(4). If mass is doubled, then the centripetal force will also double.
Explanation:
from the above relation, centripetal force is inversely proportional to the radius and is directly proportional to the mass and velocity.
If only the centripetal force is increase and others are kept as it is, then the moving object will gradually move towards the focus point reducing the radius proportional to the increase in centripetal force.
for example:- relating to mass and velocity, if the centripetal force is increase four times, the mass or velocity will increase two times keeping the radius constant for the condition.
