Ice Skating Collision: Daniel & Rebecca

  • Context: MHB 
  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Ice
Click For Summary
SUMMARY

The discussion centers on a perfectly inelastic collision between two ice skaters, Daniel and Rebecca, where Daniel has a mass of 65.0 kg and is initially at rest, while Rebecca, with a mass of 45.0 kg, is moving at 14.0 m/s. Using the principle of conservation of momentum, the final velocity of Daniel after the collision can be calculated using the formula \(v_f = \frac{mv_0}{M+m}\). The final velocity will be in the same direction as Rebecca's initial velocity, confirming that both skaters move together post-collision.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with perfectly inelastic collisions
  • Basic knowledge of mass and velocity calculations
  • Ability to interpret and manipulate equations involving variables
NEXT STEPS
  • Study the conservation of momentum in two-dimensional collisions
  • Learn about elastic vs. inelastic collisions in physics
  • Explore the effects of friction on motion in physics
  • Investigate real-world applications of momentum conservation in sports
USEFUL FOR

Physics students, educators, and anyone interested in understanding collision dynamics and momentum conservation in real-world scenarios.

karush
Gold Member
MHB
Messages
3,240
Reaction score
5
$$8.27$$

Two ice skaters Daniel (mass $$65.0\text{ kg}$$) and Rebecca (mass $$45.0\text{ kg}$$) are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at $$14.0\text{ m/s}$$ 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..
 
Last edited by a moderator:
Mathematics news on Phys.org
karush said:
$$8.27$$

Two ice skaters Daniel (mass $$65.0\text{ kg}$$) and Rebecca (mass $$45.0\text{ kg}$$) are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at $$14.0\text{ m/s}$$ 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 $v_0$
 
karush said:
$$8.27$$

Two ice skaters Daniel (mass $$65.0\text{ kg}$$) and Rebecca (mass $$45.0\text{ kg}$$) are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at $$14.0\text{ m/s}$$ 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. :)
 
MarkFL said:
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
 
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.
 

Attachments

  • karush_post.png
    karush_post.png
    6.7 KB · Views: 118
$$123$$
$123$

not sure what codes you fixed
 
karush said:
$$123$$
$123$

not sure what codes you fixed

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

Similar threads

  • · Replies 16 ·
Replies
16
Views
4K
Replies
5
Views
19K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K