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A block weighing 10N travels down a smooth curved track AB joined to a rough horizontal surface(figure). The rough surface has a friction coefficient of 0.20 with the block. If the block starts slipping on the track from a point 1.0 m above the horizontal surface, the distance it will move on the rough surface is x meter. Then value of ‘x’

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answer is E.

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Detailed Solution

h = 1 m, μ = 0.2

$mg = 10 \Rightarrow m = 1 kg$

$W = P .E = mgh$

$W = P .E = 1 \times 10 \times 1 = 10 J$

$F = μ mg = 0.2 \times 10 = 2 N$

$W = FS \Rightarrow S = \frac{W}{F} = \frac{10}{2} = 5 m$

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