Answer
The nurse measures Felipe's weight to be $623~N$
Work Step by Step
We can find Felipe's mass:
$F_N - mg = ma$
$F_N = m~(g+a)$
$m = \frac{F_N}{g+a}$
$m = \frac{750~N}{9.80~m/s^2+2.0~m/s^2}$
$m = 63.56~kg$
Felipe's weight is $(63.56~kg)(9.80~m/s^2) = 623~N$
The nurse measures Felipe's weight to be $623~N$
