The centripetal force of an object moving around a circle varies directly with the square of the speed and inversely as the radius of the object. Suppose the force is 300 N when the speed is 15 m/s and the radius is 5m. What would the force be if the speed was increased to 20 m/s and the radius was increased to 10m?

1 answer

F = kv^2/r
That means that

Fr/v^2 = k, and is constant. So, you want F such that

F*10/20^2 = 300*5/15^2