在物块与木板相对滑动时,都做匀加速直线运动,对物块有a=[F−μmg/m],对木板有a′=[μmg/M]
A、F1=F2,则a1=a2,M1>M2,a1′<a2′.根据[1/2]a1t12[1/2]a1′t12=L,[1/2]a2t22-[1/2]a2′t22=L,可知t1<t2,根据v=at知,v1<v2.故A错误.
B、F1=F2,则a1=a2,M1<M2,a1′>a2′.根据[1/2]a1t12[1/2]a1′t12=L,[1/2]a2t22-[1/2]a2′t22=L,可知t1>t2,根据v=at知,v1>v2.故B正确.
C、F1>F2,则a1>a2,M1=M2,a1′=a2′.根据[1/2]a1t12[1/2]a1′t12=L,[1/2]a2t22-[1/2]a2′t22=L,可知t1<t2,根据v=at知,v1<v2.故C错误.
D、F1<F2,则a1<a2,M1=M2,a1′=a2′.根据[1/2]a1t12[1/2]a1′t12=L,[1/2]a2t22-[1/2]a2′t22=L,可知t1>t2,根据v=at知,v1>v2.故D正确.
故选:BD.