Final answer:
The student's question seeks to determine the time for two collided skaters to reach the edge of an ice rink, requiring the conservation of momentum and considering the motion without friction. Insufficient details prevent the exact calculation, but the general approach involves finding the combined velocity and dividing the rink's radius by this velocity.
Step-by-step explanation:
The question involves calculating how long it will take for two skaters who have collided and are now moving together to reach the edge of an ice rink, given their masses and initial velocities. We assume they move without friction in a two-dimensional collision, and we'll need to use the conservation of linear momentum because they stick together after collision.
To calculate the time, we first need to find their combined velocity just after the collision. This can be done by conserving momentum in both the north-south and east-west directions, and then using the resultant speed to calculate the time to the edge of the ice rink.
Unfortunately, the information provided in the student's question is not sufficient to complete the calculation because we are not provided with the direction of the combined motion post-collision. However, in general, once the direction and magnitude of the velocity vector are known, one can simply divide the radius of the rink by the magnitude of the velocity to find the time to reach the edge of the rink.