91Ó°ÊÓ

The given data can be listed below,

• The mass of the ice hockey is $m=170g\left(\frac{1kg}{1000g}\right)=0.170kg$,
• The momentum of the ice hockey puck is ,
• The initial location of the puck is, .
• The elapsed time of puck is, $∆t=0.4s$.

One of the most significant characteristics characterising motion is the object's momentum, which is defined as the mass times velocity of the object.

The velocity of the hockey puck is given by,

$\stackrel{â‡\P Ä}{v}=\frac{\stackrel{â‡\P Ä}{p}}{m}$

Here,$\stackrel{â‡\P Ä}{p}$ is the momentum of the hockey puck and m is the mass of the hockey puck.

Substitute all the values in the above,

The velocity of the puck can also be expressed as,

$\stackrel{â‡\P Ä}{r}=\frac{\stackrel{â‡\P Ä}{r_f}-\stackrel{â‡\P Ä}{r_i}}{∆t}$

Here, $\stackrel{â‡\P Ä}{r}$is the final location of the hockey puck, $\stackrel{â‡\P Ä}{r}$is the initial location of the hockey puck and $∆t$is the time elapsed.

Rearrange above expression for initial location.

$\stackrel{â‡\P Ä}{r_f}=\stackrel{â‡\P Ä}{r_i}-\stackrel{â‡\P Ä}{v}∆t$

Substitute all the values in the above expression.

Thus, the location of the puck when it was hit by the player is .