High School

A 98.5 kg ice hockey player hits a 0.150 kg puck, giving the puck a velocity of 47.5 m/s. If both are initially at rest and if the ice is frictionless, how far does the player recoil in the time it takes the puck to reach the goal 12.0 m away?

Answer :

0.018m in the distance traveled by the player in the time the puck reaches the goal.

Here it is given:

The mass of the player (m1) = 98.5 kg

Mass of puck (m2) = 0.150 kg

As it is given that initially, both are at rest,

the initial velocity of player (u1) = 0

the initial velocity of the puck (u2) = 0

the velocity of the puck after hitting v2 = 47.5 m/s

Distance to the goal = 12 m

Using the conservation of linear momentum:

m1 u1 + m2 u2 = m1 v1 + m2 v2

Since initially they are at rest, so

0 = m1 v1 + m2 v2

Substituting the value we get

0 = 98.5 v1 + 0.150× 47.5

0 =98.5v1 + 7.125

v1 = - 7.125/ 98.5

= 0.072 m/s

Now we have to calculate the time.

t = distance/ velocity

= s/v

= 12/ 47.5

= 0.25s

The distance traveled by the plater in the time the puck reaches the goal is:

t = s/v

0.25 = s / 0.072

s = 0.018m

Therefore the distance traveled by the player in the time the puck reaches the goal is 0.018m

To know more about the velocity refer to the link given below:

https://brainly.com/question/80295?source=archive

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