What is the final speed of a mass collision?

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Homework Help Overview

The discussion revolves around a problem in mechanics, specifically focusing on the final speed of a mass collision using conservation of momentum principles.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conservation of momentum equation and its interpretation, with some expressing uncertainty about the relationship between the masses involved. Questions arise regarding the initial velocities and how they affect the final speed calculation.

Discussion Status

Participants have shared their interpretations of the momentum equation and have begun to explore the implications of mass relationships. Some guidance has been offered regarding the substitution of mass values, but there remains uncertainty about the initial velocity and its role in the calculations.

Contextual Notes

There is a specific mention of mass values, with m2 being five times m1, but the initial velocity is noted as missing, which adds complexity to the problem. Participants are navigating these constraints while attempting to clarify their understanding.

ola_12
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Homework Statement
two objects, each moving with the same speed but opposite directions, collide head on. after collision smaller object of mass
= 100g embedded in large object mass= 500g. What is the final speed of the combined object in terms of initial speed of the two objects?
Relevant Equations
conservation of momentum
I am stuck, please help. I did the conservation part but then i can't move on.
 
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ola_12 said:
I am stuck, please help. I did the conservation part but then i can't move on.
Please show this part you've done.
 
m1Vi1 + m2Vi2 = m1Vf2 + m2Vf2
Vf = Vi(m1-m2) / (m1+m2)
this is how i interpreted it, I'm not sure if I'm on the right track or not.
 
Looks good! Now you can reduce the equation by using the fact that m2 is equal to 5*m1.
 
ola_12 said:
m1Vi1 + m2Vi2 = m1Vf2 + m2Vf2
Vf = Vi(m1-m2) / (m1+m2)
this is how i interpreted it, I'm not sure if I'm on the right track or not.
Yes, that will give the speed of the combined object assuming that m1 > m2 .
 
No, I think you've lost me guys, I'm not sure I'm getting what y'all mean about m2 = 5*m1. what about the initial velocity that we don't have? Cause when i substitute m2 I still can't get Vf.
 
ola_12 said:
No, I think you've lost me guys, I'm not sure I'm getting what y'all mean about m2 = 5*m1. what about the initial velocity that we don't have? Cause when i substitute m2 I still can't get Vf.
The smaller mass m1 is 100 grams while the larger mass m2 is 500 grams. This means that m2=5*m1. We can use this fact to place it in the equation that you found earlier to find the final speed Vf in terms of the initial speed Vi.
 
oh I see now, thank you everyone :)
 
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