A pitcher throws a $0\mathrm{.}69$ kg baseball with a speed of $40$ m$/$s at an angle of $5$ below the horizontal.$$ After the batter hits the ball, the ball is travelling at $50$ m$/$s and at angle of $35$ above the horizontal.$$ If the ball was in contact with the bat for $1\mathrm{.}3$ milliseconds, what is the magnitude of the average force $($in N$)$ that the bat exerted on the ball?