Ice Skating Collision: Daniel & Rebecca

[karush]

\(\displaystyle 8.27\)

Two ice skaters Daniel (mass \(\displaystyle 65.0\text{ kg}\)) and Rebecca (mass \(\displaystyle 45.0\text{ kg}\)) are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at \(\displaystyle 14.0\text{ m/s}\) before she collides with him. After the collision, Rebecca has an initial direction. Both skaters move on the frictionless horizontal surface of the rink.

a. What is the magnitude of Daniels velocity after the collision?

b.What us the direction of Daniels velocity after the colision

ok I know this is a common exercise but..

 

[skeeter]

\(\displaystyle 8.27\)

Two ice skaters Daniel (mass \(\displaystyle 65.0\text{ kg}\)) and Rebecca (mass \(\displaystyle 45.0\text{ kg}\)) are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at \(\displaystyle 14.0\text{ m/s}\) before she collides with him. After the collision, Rebecca has a initial direction. Both skaters move on the friction horizontal surface of the rink.

a. What is the magnitude of Daniels velocity after the collision?

b.What us the direction of Daniels velocity after the colision

ok I know this is a common exercise but..

assuming a perfectly inelastic collision (they stay together after the collision) ...

initial momentum of the system = final momentum of the system

$mv_0 + M \cdot 0 = (M+m)v_f$

$\dfrac{mv_0}{M+m} = v_f$

$v_f$ will be in the same direction as $v_0$

 

[MarkFL]

\(\displaystyle 8.27\)

Two ice skaters Daniel (mass \(\displaystyle 65.0\text{ kg}\)) and Rebecca (mass \(\displaystyle 45.0\text{ kg}\)) are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at \(\displaystyle 14.0\text{ m/s}\) before she collides with him. After the collision, Rebecca has a initial direction. Both skaters move on the friction horizontal surface of the rink.

a. What is the magnitude of Daniels velocity after the collision?

b.What us the direction of Daniels velocity after the colision

ok I know this is a common exercise but..

As you can see, I've edited your post to remove a whole slew of extraneous formatting BBCodes...if you're going to paste your text from some other environment, please put the editor in "Source Mode" so all those formatting codes either get left behind or you can then edit them out. :)

 

[karush]

As you can see, I've edited your post to remove a whole slew of extraneous formatting BBCodes...if you're going to paste your text from some other environment, please put the editor in "Source Mode" so all those formatting codes either get left behind or you can then edit them out. :)

ok but it displays as

View attachment 7823

 

[MarkFL]

This is what I see:

View attachment 7824

My bigger concern though is all the extraneous formatting codes, some of which were embedding inside your $\LaTeX$. I do understand that mobile devices aren't really up to the task of working with forums though.

 

[karush]

\(\displaystyle 123\)
$123$

not sure what codes you fixed

 

[MarkFL]

\(\displaystyle 123\)
$123$

not sure what codes you fixed

There were a bunch of COLOR and FONT tags all over the place that I got rid of. :)