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 Post subject: colliding circles?
Unread postPosted: Fri May 19, 2017 1:36 pm 
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Joined: Sat Jul 04, 2015 7:28 am
Posts: 40
Suppose we know the following information about two colliding circular objects:

Mass of both objects
X velocity of both objects
y velocity of both objects

Is there a formula to compute the new x and y velocities of each object?


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 Post subject: Re: colliding circles?
Unread postPosted: Fri May 19, 2017 5:39 pm 
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Joined: Wed Jul 10, 2013 8:11 am
Posts: 325
Yes :!: :o

https://en.wikipedia.org/wiki/Momentum

You can also use the German article with more details for your case.
The result of Google Translate to English is acceptable.
[url]https://de.wikipedia.org/wiki/StoƟ_(Physik)[/url]

Gregor


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 Post subject: Re: colliding circles?
Unread postPosted: Sat May 20, 2017 2:54 am 
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Joined: Tue Dec 04, 2012 10:50 am
Posts: 656
Location: UK
lladutke wrote:
Suppose we know the following information about two colliding circular objects:

Mass of both objects
X velocity of both objects
y velocity of both objects

Is there a formula to compute the new x and y velocities of each object?

Are these 2D objects in flatworld that nevertheless have mass? In the real world what happens depends on whether the objects are purely elastic and no energy or momentum is lost. If they stuck together, for instance, the result would be different!

But I must go and read Gregor's more useful answer...

Mike.


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 Post subject: Re: colliding circles?
Unread postPosted: Sat May 20, 2017 5:09 am 
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Joined: Sat Jul 04, 2015 7:28 am
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They are represented as 2D circles, but for the purposes of collisions, I wanted to assume that each circle has a mass equivalent to the volume of a sphere with density being held constant. mass = 4/3 * pi() * radius^3 * density (density = 1)


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 Post subject: Re: colliding circles?
Unread postPosted: Sat May 20, 2017 9:11 am 
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Joined: Sat Dec 22, 2012 2:32 pm
Posts: 830
Here a step-by-step recipe, based on vector-calculations:

https://www.google.de/url?sa=t&source=web&rct=j&url=http://vobarian.com/collisions/2dcollisions2.pdf&ved=0ahUKEwjW0MGj7f7TAhVNlxQKHRMUAEcQFggeMAE&usg=AFQjCNH00E1a9fjTcSjSG3o9CbYJIu5dOg&sig2=Amkh9VGTFzm_KjTMrjfBzg

...but think it is not the fastest!

brochi


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