A ball of mass \(m\) is moving horizontally with speed \(v\) toward a vertical racket face. The ball strikes the racket and remains in contact for a time interval \(\Delta t\), after which it moves horizontally in the opposite direction with the same speed \(v\). In a second trial, an identical ball with the same initial speed is struck such that it also reverses direction with speed \(v\), but the contact time is reduced to \(\dfrac{\Delta t}{2}\). What is the magnitude of the average force \(F_2\) exerted by the racket on the ball in this second trial?