# Friction on Stacked Block

**Classical Mechanics**Level 4

A slab of mass \(m_1 = 40.0\text{ kg}\) rests on a frictionless floor, and a block of mass \(m_2 = 10.0 \text{ kg}\) rests on top of the slab. The coefficients of static friction and kinetic friction between the block and the slab are \(\mu s = 0.600\) and \(\mu k = 0.400\) respectively. The block is pulled by a horizontal force \(F\). What is the maximum value of \(F\) such that \(m_1\) and \(m_2\) will move together, that is, there is no slipping between the two blocks?

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