A pitcher throws a $8\mathrm{.}33$ kg baseball with a speed of $40\frac{m}{s}$ at an angle of $5$ below the horizontal. After the batter hits the ball, the ball is travelling at $50\frac{m}{s}$ and at angle of $35$ above the horizontal. If the ball was in contact with the bat for $1\mathrm{.}4$ milliseconds, what is the magnitude of the average force $($in N $)$ that the bat exerted on the ball?

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