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Q.

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=10ms−2

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a

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

b

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

c

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

d

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.

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Detailed Solution

a= slope of V-t curve = - 1 m/s2Also, a=-μg ⇒-1=-μ10 ⇒μ=0.1 For half roughness, μ=0.05 ∴a=-μg=-0.0510=-0.5 m/s2 v=u+at ⇒0=4+-0.5t ⇒t=8s

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