A hockey goalie is standing on ice. Another player fires a puck ( m = 0.170 kg)

Question

A hockey goalie is standing on ice. Another player fires a puck (m = 0.170 kg) at the goalie with a velocity of +53.4 m/s. (a) If the goalie catches the puck with his glove in a time of 3.49 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 -53.4 m/s. The puck and stick are in contact for a time of 3.49 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.

Explanation / Answer

PART A:

Note that

F = m(vf - vi)/t

Here,

m = 0.170 kg

vf = 0 m/s

vi = 53.4 m/s

t = 3.49E-3 s

Thus,

F = 2601 N   [ANSWER]

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PART B:

Note that

F = m(vf - vi)/t

Here,

m = 0.170 kg

vf = -53.4 m/s

vi = 53.4 m/s

t = 3.49E-3 s

Thus,

F = 5202 N   [ANSWER]

As you can see, slapping it back needs more force.

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