A block $m_1$ rests on a frictionless surface. A second block $m_2$ sits on top of the first block. Here $m_1=m_2=m.$ A horizontal force $F$ is applied to the bottom block to pull it to the right as shown below. Assume that the blocks move together across the surface $($block $m_2$ does not slide off of block $m_1).$

$($a$)$ What is the magnitude of the acceleration of the blocks? $($Use the following as necessary: $m,g,$ and $F.)$

$a=$

$($b$)$ What are the magnitude and direction of the static friction force acting on $m_1$ due to $m_2?($Use the following as necessary: $m,g,$ and $F.)$

magnitude $f=$

direction

$($c$)$ What are the magnitude and direction of the static friction force acting on $m_2$ due to $m_1?($Use the following as necessary: $m,g,$ and $F.)$

magnitude $f=$

direction

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