In attempting to pass the puck to a teammate, a hockey player gives it an initia

Question

In attempting to pass the puck to a teammate, a hockey player gives it an initial speed of 2.21 m/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

Energy dissipiated by the friction force = 0.5 * m * v^2

Same amount of energy would be dissipiated by the other half of the length between the two players.

Hence total energy required for the puck to pass to the other player succesfully = m*v'^2

Comparing it with the standard fomula of KE, we get;

v' = v/(2)^(1/2)

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