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The velocity time graph of the fig. shows the motion of a wooden block of mass 1 kg which is given an initial push at t = 0, along a horizontal table. $(g = 10 m s^{- 2})$

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The coefficient of friction between the block and the table is 0.1

The coefficient of friction between the block and the table is 0.2

If the table has half of its present roughness, the time taken by the block to complete the journey is 6 sec.

If the table has half of its present roughness, the time taken by the block to complete the journey is 8 sec.

answer is A, D.

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Detailed Solution

a= slope of V-t curve = - 1 $m / s^{2}$

$A l s o, a = - μ g \Rightarrow - 1 = - μ (10) \Rightarrow μ = 0.1 F o r h a l f r o u g h n e s s, μ = 0.05 ∴ a = - μ g = - (0.05) (10) = - 0.5 m / s^{2} v = u + a t \Rightarrow 0 = 4 + (- 0.5) t \Rightarrow t = 8 s$

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