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TS EAMCET · Physics · Laws of Motion

A block is kept on a rough horizontal surface. The acceleration of the block increases from \(6 \mathrm{~ms}^{-2}\) to \(11 \mathrm{~ms}^{-2}\) when the horizontal force acting on it increases from 20 N to 30 N . The coefficient of kinetic friction between the block and the surface is (Acceleration due to gravity \(=10\) \(\mathrm{ms}^{-2}\) )

  1. A 0.2
  2. B 0.3
  3. C 0.4
  4. D 0.5
Verified Solution

Answer & Solution

Correct Answer

(C) 0.4

Step-by-step Solution

Detailed explanation

Acceleration of the block, \(\mathrm{a}=\frac{\mathrm{F}-\mathrm{fi}}{\mathrm{m}}=\frac{\mathrm{F}-\mu \mathrm{img}}{\mathrm{m}}\) \(\therefore a_1=\frac{F_1-\mu m g}{m} \Rightarrow \sigma=\frac{20-\mu m g}{m}\)...(i) Also,…
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