Does the Mass of an Object Fluctuate?

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Homework Help Overview

The discussion revolves around a momentum lab experiment involving two colliding cars, where participants explore sources of error and assumptions regarding mass and momentum. The subject area includes concepts of momentum, mass, and collision dynamics.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the assumption of constant mass during the experiment and its potential impact on results. Questions arise about the validity of averaging momentum when the velocity is not constant and the implications of the cars being treated as rigid objects.

Discussion Status

The discussion is ongoing, with various interpretations being explored regarding the assumptions made in the experiment. Some participants suggest that the mass may not fluctuate, while others emphasize the importance of recognizing all assumptions and potential sources of error.

Contextual Notes

Participants note specific assumptions such as no parts flying off during the collision and no emissions or loss in fuel. There is also mention of the teacher's guidance to simplify the experiment by assuming constant mass.

jumbogala
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I'm working on a momentum lab right now and I'm having a hard time finding the sources of error.

What we did was take two cars. One was moving and one wasn't, and we had them collide and stick together. Then we had to figure out the change in momentum for each car.

I thought my teacher mentioned something about having to assume that the masses stay constant thoughout the experiment. I don't know if this seems like a valid source of error or not.

Also, does it matter if the moving car wasn't traveling at a constant velocity? Since there is no acceleration in the formula p=mv, I want to say no, but I'm not sure. (We measured the velocity at different time intervals and at the end used the average momentum).
 
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(We measured the velocity at different time intervals and at the end used the average momentum).

This could be your problem - you should try to estimate the momentum at the time of collision.
 
We did, but we wanted to see how an object's momentum compares before collision, during, and after. Because the velocity wasn't staying constant before collision, we had to use an average momentum there.
 
what are you 'averaging' when you are 'averaging momentum'?
 
Regards the question... no, with usual apparatus you should certainly not be able to detect the mass fluctuate, but nonetheless you should be highly aware of all assumptions you make. In principle... the cart is probably heavier after the collision.
 
jumbogala said:
I thought my teacher mentioned something about having to assume that the masses stay constant thoughout the experiment. I don't know if this seems like a valid source of error or not.
Assume:
- no parts fly off in the collision
- no emissions or loss in fuel
etc.
 
Is the car a "rigid" object, do you assume that the body of the car didn't crumple. If so, then you have to put the coefficient of restitution into a consideration. If you're wondering how acceleration be put into the equation, well, p = mv, maybe what you're talking about is the force, where F = dp/dt = ma.

besides your teacher may say that you have to assume that the mass is constant, that is to remove all the complexities in your lab experiment.
 
In the case of rocket propulsion, one must consider the rocket equation

F=dp/dt=d(mv)/dt=(dm/dt)v+m(dv/dt)=(dm/dt)v+ma

In other words, mass expelled contributes to the impulse of a rocket beyond the conventional Newtonian consideration.
 
I'm sayin':
- do not consider the cars to be rigid objects (they stick together)
- do not consider the mass of lost fuel (the teacher explicitly said not to, and besides: hello? they're CARS)
 

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