解:(1)木箱$A$运动的速度$v=\frac{L}{t}=\frac{10\ m}{60\ s}=\frac{1}{6}\ m/s,$拉力$F=\frac{P}{v}=\frac{80\ W}{\frac{1}{6}\ m/s}=480\ N;$
(2)工人对木箱$A$做的有用功$W_{有用}=Gh = 1200\ N\times2\ m = 2400\ J,$拉力做的总功$W_{总}=FL = 480\ N\times10\ m = 4800\ J,$该斜面的机械效率$\eta=\frac{W_{有用}}{W_{总}}\times100\%=\frac{2400\ J}{4800\ J}\times100\% = 50\%;$
(3)摩擦力做的功$W_{额外}=W_{总}-W_{有用}=4800\ J - 2400\ J = 2400\ J,$摩擦力$f=\frac{W_{额外}}{L}=\frac{2400\ J}{10\ m}=240\ N。$