Comparing Acceleration and Force Graphs: How Do They Relate?

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Homework Help Overview

The discussion revolves around interpreting graphs of acceleration and force in the context of Newton's Second Law, specifically the relationship expressed by the formula F=ma. Participants are exploring how these graphs relate to each other and the implications of their measurements in a lab setting.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the expected similarity between acceleration and force graphs, noting that they differ by a scaling factor (mass). There is an exploration of plotting force against acceleration to derive the mass from the slope. Questions arise regarding discrepancies between calculated and actual mass, with considerations of measurement precision and experimental error.

Discussion Status

The discussion is active, with participants seeking clarification on how to compare the graphs effectively. Some guidance has been offered regarding the relationship between the graphs and the implications of measurement accuracy, but there is no explicit consensus on resolving the discrepancies in mass calculations.

Contextual Notes

Participants mention the potential for experimental error in measurements, suggesting that precision may be a factor in the differences observed between calculated and actual mass values.

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Graphs Of Acceleration And Force

Hi!

We did this lab...on Newton's Second Law. we are trying to prove the formula F=ma...

Now i drew this graph of acceleration vs time and force vs time...they look similar..how can i interpret them?

someone help! MY lab is due tomorrow!
 
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They are supposed to look similar, they are only different by a scaling factor (mass). In fact, if instead of plotting each against time, if you were to plot force as the y-axis and acceleration as the x-axis then you should get a straight line with slope equal to m.
 
ok..thas true...but now the problem is that...i have plotted force on y-axis and acceleration on x-axis...and i calculated their slope and found an equation...the slope is suppose to be the mass of the object rite?
but I am getting smthing slightly different.
Actual mass is 1.04kg and the mass that i calculated was 1.13kg. Why are they different?
 
fact file said:
ok..thas true...but now the problem is that...i have plotted force on y-axis and acceleration on x-axis...and i calculated their slope and found an equation...the slope is suppose to be the mass of the object rite?
but I am getting smthing slightly different.
Actual mass is 1.04kg and the mass that i calculated was 1.13kg. Why are they different?

Your measurements need to be more precise. I think acceleration measurement is not easy.
 
oh thanks...

what am i suppose to do here?

Compare the graphs of force vs. time and acceleration vs. time for a particular trial.

What do i do here...i am confused :S
 
fact file said:
Actual mass is 1.04kg and the mass that i calculated was 1.13kg. Why are they different?
<10% experimental error is probably quite good for the kind of experimental setup you would usually have at a typical school lab.
 
oh thanks...dale and pixel
 
HOw do u compare acceleration vs. time and force vs. time graphs?

PLz help pplease
 

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