Comparing Acceleration and Force Graphs: How Do They Relate?

AI Thread Summary
Acceleration and force graphs are related through Newton's Second Law, F=ma, indicating that they should show similar trends, differing only by a scaling factor (mass). When plotting force against acceleration, the slope of the resulting line represents the mass of the object. Discrepancies between calculated mass (1.13kg) and actual mass (1.04kg) can arise from measurement inaccuracies, particularly in acceleration. It is suggested that achieving less than 10% experimental error is acceptable in typical school lab settings. Understanding the relationship between these graphs is crucial for interpreting experimental results accurately.
fact file
Messages
7
Reaction score
0
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 interpretate them?

someone help! MY lab is due tomorrow!
 
Physics news on Phys.org
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
 
Back
Top