Answer
The average force on the ball is $1547~N$
Work Step by Step
We can find the change in velocity of the ball:
$\Delta v = v_2-v_1 = 50.2~m/s-(-47.5~m/s) = 97.7~m/s$
We can find the acceleration:
$a = \frac{\Delta v}{\Delta t} = \frac{97.7~m/s}{0.00360~s} = 27,139~m/s^2$
We can find the average force on the ball:
$F = ma = (0.0570~kg)(27,139~m/s^2) = 1547~N$
The average force on the ball is $1547~N$