A system of two blocks of masses $m =2 \; kg$ and $M=8 \; kg$ is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is $0.5$. The maximum horizontal force $F$ that can be applied to the block of mass $M$ so that the blocks move together will be $\dots \; N$
JEE MAIN 2022, Medium
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$\left(a_{A}\right)_{\max }=0.5 g=4.9 m / s ^{2}$
For moving together
$F_{\max }=m_{T} a_{A}$
$=10 \times 4.9$
$=49 \; N$
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