Alex is asked to move two boxes of books in contact with each other and resting on a frictionless floor. He decides to move them at the same time by pushing on
box A with a horizontal pushing force $\overrightarrow{F_p} = (+8.20\hat{i})$ N. Here A has a mass $m_A = 15.1$ kg and B has a mass $m_B = 7.00$ kg. The contact force between the two
boxes is $\overrightarrow{F_C}$ and $\overrightarrow{N}$ denotes the normal force.
(a) What is the magnitude of the acceleration of the two boxes?
m/s²
(b) What is the magnitude of the force $\overrightarrow{F_C}$ exerted on $m_B$ by $m_A$?
N
(c) If Alex were to push with the same magnitude of force $|\overrightarrow{F_p}|$ from the other side on the 7.00 kg box, what would be the magnitude of the force $\overrightarrow{F_C}$
exerted on $m_A$ by $m_B$? (Assume the force $\overrightarrow{F_C}$ on the left side is no longer present.)