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

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Answer & Solution

Correct Answer

(D) \(8 / 11\)

Step-by-step Solution

Detailed explanation

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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