What is the relationship between mass and acceleration based on given data?

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Homework Help Overview

The discussion revolves around the relationship between mass and acceleration based on provided data, specifically focusing on a table of mass values and corresponding acceleration values that were not fully listed. The original poster attempts to analyze the data to find a trend or correlation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the meaning of certain symbols in the data, the nature of the objects involved, and the forces acting on them. There is a discussion about the lack of a clear trend in the data, with some participants suggesting that the accelerations may be nearly equal despite varying mass values.

Discussion Status

The discussion is ongoing, with participants expressing skepticism about finding a relationship between mass and acceleration. Some have provided insights into potential variations in the data and have requested additional information to better understand the context of the experiment.

Contextual Notes

There are mentions of missing data points, such as additional mass values and their corresponding accelerations. Participants also highlight the need for clarity on how the data was collected and the experimental setup.

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Homework Statement


I need to find the relation between mass and acceleration.I was given the values above in a table, save for acceleration.
The mass of the object was given as well, so that I could plot acceleration v. mass

This is part of my chart.
Object Mass (g) ti (s) Vi (m/s [d]) tf (s) Vf (m/s [d]) A (m/s2)
1 1696 0.65 0.244 1.00 3.526 9.37
2 573 0.45 0.399 0.80 3.709 9.45
3 151.95 0.45 0.575 0.80 3.674 8.85

Homework Equations


a = Vf-Vi/Tf - Ti

The Attempt at a Solution


I successfully graphed my 8 values, but I couldn't find a trend. When I adjusted the scale, it sort of looked like a sinusoidal function.

+ my original hypothesis that more mass is equal to increased acceleration was wrong, because some high mass values didn't have high acceleration values
 
Last edited:
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What are the "[d]" symbols?
Does it say what kind of objects are involved, what force accelerated them? Anything more?

As it stands, I would have to say there is no trend. No relationship can be found.
 
Looks like gravity accelerated them.

What are the other 5 mass values, along with the acceleration value for each?

Maybe the accelerations are nearly equal, with some random or systematic variation.

For the three values listed, there is not much correlation between mass and acceleration.

One of the masses is more than 10 times one of the others, yet it's acceleration in only a bout 5% higher than that of the smaller mass.
 
Here's my updated work:
http://www.scribd.com/doc/50168628/accelerationoffallingobject

I would appreciate if you could tell me whether I'm correct or not. Thanks
 
Last edited by a moderator:
I agree; no trend.
If you must have one, drop the one low acceleration point as unreasonable and the rest will probably have a line of best fit with a slight upward slope, so slightly more acceleration as the mass increases.
 
There is not enough information to draw any conclusions. "I was given the values above in a table" is not inspiring... How was this data collected? What was the setup of the experiment?
 

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