A lady with mass m1 is ice-skating toward the east on a frictionless frozen lake when she collides with a mass of mass m2 who is ice-skating toward the west. The maximum force exerted on the lady by the man during the collision has a magnitude F, and is directed west. Take the east to be positive direction of the x-axis. State your answer in terms of the given variables. (Use F for F, m_1 for m1, and m_2 for m2.)
(a) Find the maximum force on the man from the lady, including direction?
(b) Find the maximum acceleration of the lady, including direction?
(c) Find the maximum acceleration of the man, including direction?