解:(1)小物块$P$在水平方向上向左做匀速直线运动,设小物块$P$可以从$O$点开始往左运动最远的距离为$l_{2},$小物块$P$对杠杆的压力$F_{2}=G_{P}=10N,$小物块$P$往左运动到最远时,右端的拉力最大,即$F_{1}=14N,$$l_{1}=\frac{1}{2}OB = 1m,$由杠杆平衡条件得,$F_{1}l_{1}=F_{2}l_{2},$则$l_{2}=\frac{F_{1}l_{1}}{F_{2}}=\frac{14N×1m}{10N}=1.4m。$
(2)推力$F$做的功$W = Fs = Fl_{2}=2N×1.4m = 2.8J。$