A 13.7 N force is sufficient to keep an object moving in a circle of radius 15.4 meters. How much force in Newtons is needed to keep it moving with the same speed in a circle of 26.5 meters?

F = m a = m v^2/R

13.7 = m v^2/15.4
m v^2 = 15.4 * 13.7
now same m, same v
15.4 *13.7 /26.5 = new F