(Solved): 2) A mass m1 rests on top of another mass m2 which in turn rests on a frictionless horizonta ...

2) A mass $$m_1$$ rests on top of another mass $$m_2$$ which in turn rests on a frictionless horizontal surface. A light cord is attached to $$m_2$$ which is used to pull it with force $$F$$. a) Find the acceleration of each mass when the surface between them is frictionless. b) Find the acceleration of each mass when the surface between them is rough enough that $$m_1$$ does not slide on $$m_2$$. c) Find the acceleration of each mass if $$m_1$$ slides on $$m_2$$ with a coefficient of kinetic friction $${?}_k$$.