I am confused with the following problem, can you please help?<BR>In attempting

Question

I am confused with the following problem, can you please help?<BR>In attempting to pass the puck to a teammate, a hockey player gives it an initial speed of 1.7m/s. However, this speed is inadequate to compensate for the kinetic friction between the puck and the ice. As a result, the puck travels only one-half the distance between the players before sliding to a halt. What minimum initial speed should the puck have been given so that it reached the teammate, assuming that the same force of kinetic friction acted on the puck everywhere between the two players?

Explanation / Answer

So the initial KE of the puck is converted via the frictional force into work.

            This means v2 is proportional to the distance traveled by the puck.

            So to double the distance traveled by the puck the initial KE needs to be doubled.

            Which means the initial speed of the puck needs to increase by the square root of 2.

     v = sqrt 2 ( 2.94 m/s) = 4.157 m/s

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