Answer
F = 48.0 N
Work Step by Step
$W = KE_2 - KE_1$
$F~d = \frac{1}{2}mv_2^2-\frac{1}{2}mv_1^2$
$F = \frac{m(v_2^2-v_1^2)}{2d}$
$F = \frac{(12.00~kg)((6.00~m/s)^2-(4.00)^2)}{(2)(2.50~m)}$
$F = 48.0~N$
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