A hat is placed at one end of a hockey rink. The rink is 61 m wide and the hat has a mass of 170 g. A hockey stick is swung very slowly and makes contact with the hat that is initially at rest. The stick exerts a constant force of 5N on the hat over a distance of .2m and then the hat loses contact with the stick, traveling down the ice. The hat leaves contact with the stick travelling at a speed of 3.4 m/s.

What is the force of friction on the hat?

Does the hat make it all the way to the other end of the rink?