How Do You Calculate Speed at the Center of Mass After a Collision?

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SUMMARY

The discussion focuses on calculating the speed at the center of mass after an inelastic collision involving two objects, each with a mass of 500g. The user attempts to find the center of gravity using the formula for Xcg and Ycg but is uncertain about the correct approach. The conversation emphasizes the need to consider both the masses and their velocities before and after the collision to accurately determine the momentum at the center of mass. Key concepts include the use of weighted averages for velocities and the implications of inelastic collisions on mass calculations.

PREREQUISITES
  • Understanding of inelastic collisions in physics
  • Familiarity with center of mass calculations
  • Knowledge of momentum conservation principles
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the principles of inelastic collisions and their effects on momentum
  • Learn how to calculate center of mass for multiple objects
  • Explore the concept of weighted averages in physics
  • Review examples of momentum calculations in collision scenarios
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone involved in teaching or learning about collisions and momentum.

TaintedLove
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Urgent Help Needed- Finding the speed at the centre of mass? Please help me :(

Hi, I was attempting to work through this question.
Anyways, I was working from a graph, so the radius 2.5 cm, the two of them collided, it was an inelastic collision as the two objects did part ways, so how do I find the centre of gravity?
I attempted to calculate it... but if someone could help me out? The masses were 500g and 500g.

So for x and y, would I do:
Xcg = (500)(0.025) + (500)(1.5)(0.025) / 1000 ?
Ycg = (500)(0.025) + (500)(0.025) / 100 ?

That's what I was thinking but I'm not entirely sure.

After this, I also have to find the momentum of the centre of gravity... so for that, I need the masses and the speed.

Even though the objects didn't stick together, would I add the masses when solving for the momentum at the centre of mass?

I was reading on the internet and it said: "The center of mass velocity of a system of particles is the average velocity of all the particles weighted relative to their mass"

but what I'm confused about is, do I add all the velocities... like the velocities of both the masses before and after the collision? So I'd have 4 velocities? But I'd only add the masses twice right? So it would be the velocities / 1000 g

Could someone really help me. Please.
 
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I'm sorry, this has accidentally been posted twice, I didn't notice it was going through because my internet was failing.
 


What? You really need to explain better.

"Anyways, I was working from a graph, so the radius 2.5 cm, the two of them collided, it was an inelastic collision as the two objects did part ways, so how do I find the centre of gravity?"

Can we see the graph? What radius is this? How did the objects collide?
 

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