Two blocks $A$ and $B$ of masses $5 \,kg$ and $3 \,kg$ respectively rest on a smooth horizontal surface with $B$ over $A$. The coefficient of friction between $A$ and $B$ is $0.5$. The maximum horizontal force (in $kg$ wt.) that can be applied to $A$, so that there will be motion of $A$ and $B$ without relative slipping, is
A$1.5$
B$2.5$
C$4$
D$5$
Medium
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C$4$
c (c)
It both are moving together
$a=\frac{F}{8}$
for $3 \,kg$ block
$f=3\left(\frac{F}{8}\right)$
$(0.5 (3) g=\frac{3 F}{8}$
$F=40 \,N$
So, $m=4 \,kg$
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