A woman holding a large rock stands on a frictionless, horizontal sheet of ice. She throws the rock with speed at an angle above the horizontal.

A woman holding a large rock stands on a frictionless, horizontal sheet of ice. She throws the rock with speed at an angle above the horizontal. Consider the system consisting of the woman plus the rock. Is the momentum of the system conserved? Why or why not? Is any component of the momentum of the system conserved? Again, why or why not?