There is 50 kg ice skater that is moving across the ice with a
constant speed of 2.0 m/s to the right. He is caught by his 70 kg
wife, who is at rest initially, they slide together as a couple
afterward.
a) what is the exact velocity of the couple after they get
together?
b) What was the velocity of the couple's center of mass before
and after their collision?
c) What are their initial and final velocities, from the
perspective of another skater who is following after the first one
at a constant speed of 1.0 m's in the same direction
e) Slightly after the collision, the 70 kg ice skater pushes
away from his wife, in a way that he the 50 kg skater ends up
moving at 1 m/s to the left relative to her. What are their final
velocities from the earth frame of reference?