Can We Predict Elastic Collision Outcomes Knowing λ, v, and m1/m2?

AI Thread Summary
The discussion centers on predicting the outcomes of elastic collisions between two masses, m1 and m2, given specific parameters. When m1 and m2 are equal and collide at a 60° angle, the resulting angles and speeds can be calculated. The inquiry focuses on whether similar predictions can be made when the mass ratio m1/m2 is 3/5. Participants agree that by breaking down the motion into X-Y axes, it is indeed possible to predict the outcomes using the known velocity of m1 and the mass ratio. The conversation emphasizes the simplicity of calculating all relevant data from these initial conditions.
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Homework Statement


if m1 and m2 (m1= m2, (vm1 = 4m/s)) collide at an angle λ (60°) we can fully predict oucome:
angles (60° and 30°) and speeds (2 and 3.46)

can we predict the outcome if we know that m1/m2 = 3/ 5 ?
 
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simpatico said:

Homework Statement


if m1 and m2 (m1= m2, (vm1 = 4m/s)) collide at an angle λ (60°) we can fully predict oucome:
angles (60° and 30°) and speeds (2 and 3.46)

can we predict the outcome if we know that m1/m2 = 3/ 5 ?

we can break the motion into X-Y axis.
for this let particle 1 is coming along +Y axis so particle 2 2ill be at 60 degree from it.
 
cupid.callin said:
let particle 1 is coming along +Y axis
so particle 2 2ill be at 60 degree from it.

If I got it right: it is possible.!

(I know it makes things easier to consider m1 as moving on one axis.I prefer +X)

I asked because in all sites they said
'if you know what is v'1 or v'2 you can calc all other data'
while I knew that it is very easy and simple and quick to get all data
knowing only

v(m1) = 4 m/s (along the X-axis)
m1/ m2 = 3/5 ( m1), angle 60°

Thank you sir!
 
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