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A block of weight 100N is pushed by a force F on a horizontal rough plane moves with an acceleration 1 $m s^{- 2}$ , when force is doubled its acceleration becomes 10 $m s^{- 2}$ . The coefficient of friction is ___ (g=10 $m s^{- 2}$ )

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0.2

0.4

0.6

0.8

answer is D.

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Detailed Solution

m \times 1 = F - μ_{k} m g

$m \times 10 = 2 F - μ_{k} m g$
Equation (1) x 2 - (2)
$- 8 m = - μ_{k} m g$ $\Rightarrow$ $μ_{k} = 0.8$

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