# Friction On Stacked Block

A slab (dark brown) of mass $$m_1 = \SI{40}{\kilo\gram}$$ rests on a frictionless floor (orange), and a block (light brown) of mass $$m_2 = \SI{10}{\kilo\gram}$$ rests on top of the slab. The block $$m_2$$ is pulled by a horizontal force $$F$$.

What is the greatest force, $$F_\textrm{max}$$ (in $$\si{\newton}$$), such that $$m_1$$ and $$m_2$$ will move together?

Assumptions and Details

• Use $$g = \SI[per-mode=symbol]{9.8}{\meter\per\second\squared}$$
• The coefficients of static friction and kinetic friction between the block and the slab are $$\mu_s = 0.6$$ and $$\mu _k = 0.4$$, respectively.
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