A particle of mass M moves along a horizontal x-axis from x=0 to x=L. The coefficient of kinetic friction varies as a function of x as \({\mu }_{k}\)(x) = μ₀ − αx, where μ₀, α are constants of appropriate dimensions, so that \({\mu }_{k}\)(L)=0. The total work done by the frictional force during the motion is nμ₀MgL, where g is the acceleration due to gravity. The value of n is:

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A particle of mass M moves along a horizontal x-axis from x=0 to x=L. The coefficient of kinetic friction varies as a function of x as \({\mu }_{k}\)(x) = μ₀ − αx, where μ₀, α are constants of appropriate dimensions, so that \({\mu }_{k}\)(L)=0. The total work done by the frictional force during the motion is nμ₀MgL, where g is the acceleration due to gravity. The value of n is:

[Re-NEET 2026]

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