A block of mass $40 \,kg$ slides over a surface, when a mass of $4 \,kg$ is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is $0.02$. The acceleration of block is ............ $ms ^{-2}$ (Given $g =10 \,ms ^{-2}$.)
JEE MAIN 2022, Medium
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For $4 \,kg$ block
$4 g - T =4 a$
For $40 \,kg$ block
$T -40 g \times 0.02=40 a$
Adding both eq.
$40-8=44 a$
$a =\frac{32}{44}=\frac{8}{11} \,m / s ^{2}$
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