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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 k

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 \mathrm{0.02}. The acceleration of block is.\mathrm{\left(\text { Given } \mathrm{g}=10 \mathrm{~ms}^{-2} .\right)}

Option: 1

\mathrm{1 \mathrm{~ms}^{-2}}


Option: 2

1 / 5 \mathrm{~ms}^{-2}


Option: 3

4 / 5 \mathrm{~ms}^{-2}


Option: 4

8 / 11 \mathrm{~ms}^{-2}


Answers (1)

best_answer

\mathrm{ \text {f }_{lim }=\mu N}\\

\mathrm{=0.02 \times 400}\\

\mathrm{=8 \mathrm{~N}} \\

\mathrm{a=\frac{40-8}{40+4}=\frac{32}{44}=\frac{8}{11} \mathrm{~m} / \mathrm{s}^{2} }

Hence the correct option is 4

Posted by

Suraj Bhandari

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