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Acceleration of block $A$ varies with time as shown in figure the value of coefficient of kinetic friction between block $A$ and $B$ is the value of coefficient of kinetic friction between block $A$ and $B$ is ..............

$0.5$
$0.6$
$0.4$
None of these
Solution
(a)
Given: acceleration of block $A$ varies with time as shown in figure To find the value of coefficient of kinetic friction between the block $A$ and $B$ Solution:
Force is applied on block $B$. The moment when the block $A$ starts sliding is the moment when the applied force $F$ is greater than the frictional force between the two blocks.
Apply Newton's Second law of motion we get
$\operatorname{ma}_i=\mu g m$
$\Rightarrow a _{\Lambda}=\mu g$
$\Rightarrow 4.9=\mu(9.8)$
$\Rightarrow \mu=0.5$
is the value of coefficient of kinetic friction between the block $A$ and $B$