Centripetal Force Formula
The centripetal force (Fc) required to keep an object moving in a circle is given by:
Fc = (m * v²) / r
Where:
* m is the mass of the object
* v is the velocity of the object
* r is the radius of the circular path
Doubling the Mass
If you double the mass (m) while keeping the velocity (v) and radius (r) constant, the centripetal force (Fc) will also double.
Why?
The centripetal force is directly proportional to the mass of the object. This means that if you increase the mass, you need to increase the force proportionally to keep the object moving in the same circular path.
In Summary
Doubling the mass of a body in uniform circular motion will double the amount of centripetal force required to keep it moving in that circle.
