Physics - NLM Question with Solution | TestHub

Now, value of kinetic friction between blocks is 15 N . Let ${\mathrm{F}}^{\prime }$ force is applied on 3 kg block F.B.D. if 3 kg block

$F^{\prime }-f=3a$ Now acceleration just before slipping storts is

: $F^{\prime }=5a\Rightarrow a=F^{\prime }/5$

Now ${\mathrm{F}}^{\prime }-15=3\times \left(\frac{{\mathrm{F}}^{\prime }}{5}\right)$

$\begin{array}{rlr}& {\mathrm{F}}^{\prime }-\frac{3{\mathrm{F}}^{\prime }}{15}=15\Rightarrow \frac{2{\mathrm{F}}^{\prime }}{5}=15\Rightarrow {\mathrm{F}}^{\prime }=\frac{75}{2}& \Rightarrow {\mathrm{F}}^{\prime }=37.5\mathrm{N}\end{array}$

Now when 37.5 N is applied on 3kg, slipping will start.