A block is sliding on a rough horizontal surface with a speed of when it begins to…

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A 1 kg1\,\text{kg} block is sliding on a rough horizontal surface with a speed of 3 m s−13\,\text{m}\,\text{s}^{-1} when it begins to compress a spring of force constant 100 N m−1100\,\text{N}\,\text{m}^{-1} placed on the same surface. The block comes to rest after compressing the spring by 0.25 m0.25\,\text{m}. Assuming the surface offers uniform kinetic friction throughout the compression (take g=9.8 m s−2g = 9.8\,\text{m}\,\text{s}^{-2}), the coefficient of kinetic friction between the block and the surface is closest to (a) 0.710.71 (b) 0.280.28 (c) 0.560.56 (d) 1.281.28

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