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Block of mass 1 kg is placed on a rough incline as shown. The coefficient of friction between block and incline is 0.4. The acceleration of block is (g = 10 ms–2, √3 = 1.7)

a
zero
b
5 ms-2
c
6.5 ms-2
d
1.6 ms-2

detailed solution

Correct option is D

Applied force = mgsin⁡θ=mg12=0.5mgMaximum frictional force  =μmgcos⁡θ =0.4mg32 =0.2×1.7mg =0.34mgacceleration = 0.5mg−0.34mgm=0.16g=1.6m/s2

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