A block of mass 40 ,kg slides over a surface, when a mass of 4 ,kg is suspended through an inextensi

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4-2.Friction

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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 $g =10 \,ms ^{-2}$.)

A

$1$

B

$1 / 5$

C

$4 / 5$

D

$8 / 11$

(JEE MAIN-2022)

Solution

For $4 \,kg$ block

$4 g – T =4 a$

For $40 \,kg$ block

$T -40 g \times 0.02=40 a$

Adding both eq.

$40-8=44 a$

$a =\frac{32}{44}=\frac{8}{11} \,m / s ^{2}$

Standard 11

Physics

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