What Does a Non-Zero Y-Intercept on a Force vs. Acceleration Graph Indicate?

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A non-zero y-intercept on a force vs. acceleration graph indicates that there is an additional force acting on the system when acceleration is zero, likely due to unaccounted frictional forces. The discussion highlights that force should be strictly proportional to acceleration, and any deviation from this can suggest measurement errors or external influences. The specific case presented shows a small intercept value, which corresponds to the presence of friction in an otherwise intended frictionless setup. The values recorded for force and acceleration are all below 1.0, reinforcing the idea that even minor discrepancies can significantly affect the results. Overall, the non-zero intercept suggests that friction is likely impacting the experimental data.
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My question concerns the y-intercept of the force vs. acceleration graph. When I plotted my data, the regression line had an intercept that was not 0. What does this signify? I know that the intercept is the amount of force when the acceleration is 0 m/s^2. Shouldn't it be 0 N at 0 m/s^2? Does this mean there was a source of force that I neglected to take account for while recording the values for the graph?

Thanks.
 
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Most likely!
Force is strictly proportional to acceleration.
 
Just how non-zero is it? Could it be an indication of measurement errors?
 
Consider the case if the graph was drawn a vs F.

The x-intercept will indicate that some non-zero force was necessary to start the acceleration of the object - a tipical real life situation we find in order to overcome the ever present frictional forces.
 
The intercept was about 0.0051 (N).
 
What are the typical magnitude of your data values?
 
Which values? The a values or the F values?

All the force and acceleration values are less than 1.0 N and 1.0 m/s^2, respectively.

My smallest F value is 0.0961 N and greatest is 0.446 N.

My smallest a value is 0.188 m/s^2 and greatest is 0.869 m/s^2. The smallest F value corresponds with my smallest a value, and the greatest F value corresponds with my greatest a value.
 
A frictionless setup was organized (or was attempted to be organized), but it is possible to still have frictional forces as a source of error?
 
Indeed there can, and will be!
In your case, the force discrepancy is about a twentieth of your least value, that is most likely the effect of friction showing up.
 

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