Two skaters, one with Mass 45kg, 2’nd with Mass of 65kg stand on an ice rink holding a pole with L=10m with negligible mass. starting from the ends of the pole, the skaters pull themselves along the pole until they meet. How far does the 45kg skater move?
Hint: They will meet at the centre of mass of the system.
If the 45 kg skater moves by x m, then the second one travels (10-x)m
45 x = 65(10-x)
Solve and get the value for x