Comparing Acceleration and Force Graphs: How Do They Relate?

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SUMMARY

This discussion centers on the relationship between acceleration and force graphs as described by Newton's Second Law, F=ma. The user graphed acceleration versus time and force versus time, noting their similarity and questioning the discrepancy between the calculated mass (1.13 kg) and the actual mass (1.04 kg). The conversation highlights the importance of precision in measurements, particularly in acceleration, and suggests that a less than 10% experimental error is acceptable in typical school lab settings.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Basic graphing skills for plotting force and acceleration
  • Knowledge of experimental error and measurement precision
  • Familiarity with slope calculations in linear graphs
NEXT STEPS
  • Research methods to improve measurement precision in physics experiments
  • Learn about experimental error analysis techniques
  • Explore the concept of linear regression to analyze graph slopes
  • Study the implications of mass variations in experimental physics
USEFUL FOR

Students in physics courses, educators teaching Newton's laws, and anyone involved in experimental physics who seeks to understand the relationship between force and acceleration.

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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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