1. During an ice hockey game a player from the Hurricanes collides with a player

Question

1. During an ice hockey game a player from the Hurricanes collides with a player from the Capitals. The Hurricanes player’s mass is 85 kg, and the Capitals player’s mass is 95 kg. Just before the collision, the Hurricanes player was skating at a velocity of 6.5 m/s East, and the Capitals player was skating at a velocity of 7 m/s West. During the collision, the Hurricanes player exerted an average force of 1700 N East against the Capitals player.

a. How big is the average force the Capitals player exerts against the Hurricanes player during the collision?

b. If this force is the only horizontal force acting on each skater during the collision, what average horizontal acceleration does each skater experience during the collision?

c. If the collision is perfectly inelastic, how fast and in what direction will the players be moving immediately after the collision?

Explanation / Answer

a) From newton's 2nd law,

Force will be same in magnitude but in opposite direction.

force = 1700 N West

b) a = F / m

for Hurricanes player,

aH = 1700 / 85 = 20 m/s^2 west

for capitals player,

aC = 1700 / 95 = 17.89m/s^2 east

c) If collision is perfectly inselastic then both will together with same velocity.

Applying momentum conservation.

(85 x 6.5) + (95 x -7) = (85 + 95)v

v = - 0.625 m/s

minus sign indicated west direction.

v = 0.625 m/s west

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