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Two blocks of masses m1 and m2 inter con...

Two blocks of masses `m_1` and `m_2` inter connected by a spring of stiffness `k` are placed on a horizontal surface. If a constant horizontal force F acts on the block `m_1` it slides through a distance x whereas `m_2` remains stationary. If the coefficient of friction between all contacting surfaces is `mu`, find the speed of the block `m_1` as the function `x`.

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