2D Momentum and Collisions Lab Help Grade 12

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SUMMARY

The discussion focuses on solving for the unknown mass (m2) in a completely inelastic collision involving two masses, where one mass (m1) is known at 0.583 kg. The user applies the momentum conservation equation m1v1 + m2v2 = m3v3, where m3 is the combined mass (m1 + m2) and v3 is the final velocity. The user seeks clarification on rearranging the equation to isolate m2, indicating confusion about the cancellation of terms during the calculation process. The solution was ultimately found through collaborative input.

PREREQUISITES
  • Understanding of momentum conservation principles in physics
  • Familiarity with completely inelastic collisions
  • Basic algebraic manipulation skills
  • Knowledge of vector components in two-dimensional motion
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  • Review the principles of momentum conservation in inelastic collisions
  • Practice solving for unknowns in momentum equations
  • Explore vector decomposition in two-dimensional motion
  • Learn about energy conservation in collisions and its implications
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High school physics students, educators teaching mechanics, and anyone studying momentum and collisions in a two-dimensional context.

Ranjan1995
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Homework Statement



For a lab, I have performed a completely inelastic collision using 2 masses. One mass is 0.583 kg, and the other is the unknown we have to find. Using an air table, I was given the dots to show the movements of the objects as they intersect and them move together. I have broken them into components and solved for the velocity and the momentum for each. Well, that's where the problem is:

Momentum of the known mass:

m1v1 = p1
m1x(v1x) = p1x
m1y(v1y) = p1y

Same thing for the second mass, except it is m2, an unknown.

When they move together, I know the mass will be the total (m1 + m2, which i state as m3) and the velocity will also be something else, v3.

Now, the problem:

I am trying to do m1v1 + m2v2 = m3v3 to find the unknown mass Question is, how would i rearrange the equation to find this m2.


Homework Equations



mv = p
1/2mv^2

The Attempt at a Solution



I am just trying with the 'x' component for the example:

m1 = 0.583 kg
v1x = 0.18 m/s [E]

m2 = unknown
v2x = 0.29 m/s [W]

m3 = m1 + m2
v3x = 0.05 m/s [W]

m1v1 + m2v2 = m3v3

How can i find this mass, it cancels out the moment I bring one of the m2's to the other side , I am I making some mistake here? I know it may not seem like I did any work, but I have pages of work getting to this part haha.
 
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what else could you call m3?
 
m3 is (m1 + m2)
 
i think you should show your work so far. there is no reason anything should cancel out.
 
I got it, thanks.
 

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