A 0.015kg hockey puck moving at 24m/s is caught and held by a 75kg goalie at rest. With what speed does the goalie slide on the ice?

Respuesta :

Answer:

0.0048m/s

Explanation:

Given parameters:

Mass of hockey = 0.015kg

Speed of the puck  = 24m/s

Unknown:

Mass of goalie  = ?

Solution:

The momentum of puck is a product of its mass and velocity;

     Momentum of puck  = 0.015 x 24  = 0.36kgm/s

According to the law of conservation of linear momentum,

  Momentum gained will be transferred to the goalie;

         Speed of goalie = [tex]\frac{momentum of the puck before it was caught}{mass of goalie + mass of puck}[/tex]

       Speed of goalie  = [tex]\frac{0.36}{0.015 + 75}[/tex]  = 0.0048m/s