2. The centripetal force, F, measured in Newtons acting on an object varies directly as the square of the speed, v, in meters per second (m/s) and inversely to the radius, r, of its path in meters. a. Write an equation to express the proportionality relationship above, using k as the constant of proportionality. b. If the centripetal force is 100 Newtons when the object is traveling 20 m/s in a path or radius of 2 m, determine the constant of proportionality, k. Round to the nearest tenth. c. Suppose the speed increases to 30 m/s and the path's radius is now 4 m. Determine the centripetal force acting on the object. Round to the nearest tenth.