A hockey goalie is standing on ice. Another player fires a puck (m = 0.170 kg) at the goalie with a velocity of +44.6 m/s. (a) If the goalie catches the puck with his glove in a time of 5.02 x 10-3 s, what is the magnitude of the average force exerted on the goalie by the puck? (b) Instead of catching the puck, the goalie slaps it with his stick and returns the puck straight back to the player with a velocity of -44.6 m/s. The puck and stick are in contact for a time of 5.02 x 10-3 s. Now, what is the magnitude of the average force exerted on the goalie by the puck? Verify that your answers to parts (a) and (b) are consistent with the conclusion of Conceptual Example 3.

Respuesta :

Answer:

Explanation:

calculate the momentum before the puck hits the goalie: momentum = mass*velocity  

p = 0.17*54.9  

p = 9.333 kg.m/s  

Because the final momentum is zero, the change in momentum is also 9.333, which is also called impulse.  

Apply impulse = Force*time  

9.333 = 3.62*10^-3*F  

F = 2578.17679558  

Therefore the average force exerted is 2578N  

 

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A hockey goalie is standing on ice. Another player fires a puck (m = 0.170 kg) at the goalie with a velocity of +44.6 m/s. The magnitude of the average force exerted on the goalie by the puck is 1490.04 N for (a) and 3020.72 N for (b)

From the information given:

  • the initial speed (u) of the puck fired to the hockey goalie is = 44.6 m/s
  • time (t) at which the goalie catches the puck = 5.02 x 10-3 s

The magnitude of the average force is the change in the momentum divided by time (t).

(a)

The magnitude of the average force is:

[tex]\mathbf{F_{avg}= \dfrac{0.170 \ kg \times 44.6 \ m/s }{5.02 \times 10^{-3} \ s }}[/tex]

[tex]\mathbf{=1490.04 \ N}[/tex]

(b)

Suppose;

  • the final speed = -44.6 m/s

The magnitude of the average force can be computed as:

[tex]= \mathbf{\dfrac{0.170 \times (44.6 -(-44.6))}{5.02 \times 10^{-3}} }[/tex]

[tex]= \mathbf{\dfrac{0.170 \times (44.6 +44.6)}{5.02 \times 10^{-3}} }[/tex]

= 3020.72 N

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