解:
(1)电动平板车满载时快递员与车的总重力$G = mg = 200\ kg×10\ N/kg = 2000\ N,$
因为电动平板车匀速行驶,受力平衡,所以电动平板车受到的牵引力$F = f=\frac{1}{5}G=\frac{1}{5}×2000\ N = 400\ N。$
(2)电动平板车的速度$v = 7.2\ km/h = 2\ m/s,$
电动平板车匀速行驶了$5\ min = 5×60\ s = 300\ s,$
行驶的路程$s = vt = 2\ m/s×300\ s = 600\ m,$
则电动平板车牵引力做的功$W = Fs = 400\ N×600\ m = 2.4×10^{5}\ J。$
(3)电动平板车牵引力做功的功率$P = Fv = 400\ N×2\ m/s = 800\ W。$