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An object is kept at x = 0, a force on the object is F (constant) from t =0. Friction coefficient vary as μ=cx. Then the distance travelled by the block is
Distance travelled by the block =>Net Force on block = > F – uMg = Maa = acceleration of block.F = M[cgx + vdv/dx]vdv = Fdx/M – cgxdxintegerating both sides,v^2/2 = Fx/M -cgx^2/2v = root(2xF/M – cgx^2) v would be zero at last.hence, 2F/M – cgx = 0or x = 2F/cgM is the distance covered by the block.
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