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

  • Thread starter Soaring Crane
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In summary, the question is about the non-zero y-intercept of a force vs. acceleration graph, which signifies that there was a source of force present even at 0 m/s^2 acceleration. This could be due to measurement errors or the presence of frictional forces in the experiment. The data values for both force and acceleration are less than 1.0 N and 1.0 m/s^2, respectively, with the smallest and greatest values corresponding to each other. Despite attempts to create a frictionless setup, there is still a possibility of friction being a source of error, as seen from the small force discrepancy.
  • #1
Soaring Crane
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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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  • #2
Most likely!
Force is strictly proportional to acceleration.
 
  • #3
Just how non-zero is it? Could it be an indication of measurement errors?
 
  • #4
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.
 
  • #5
The intercept was about 0.0051 (N).
 
  • #6
What are the typical magnitude of your data values?
 
  • #7
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.
 
  • #8
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?
 
  • #9
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.
 

1. What is the significance of a graph's intercept?

The intercept of a graph represents the point at which the graph crosses either the x-axis or the y-axis. It can provide valuable information about the relationship between the two variables being graphed, such as the starting point or the point at which the variables intersect.

2. How is the intercept calculated?

The intercept is calculated by finding the point at which the graph intersects the x-axis or y-axis. This can be done by substituting 0 for the other variable in the equation of the line.

3. Can the intercept be negative?

Yes, the intercept can be negative if the graph crosses the x-axis or y-axis in the negative direction. This indicates a negative relationship between the two variables being graphed.

4. Is the intercept the same as the slope?

No, the intercept and the slope are two different components of a graph. The intercept represents the starting point or point of intersection, while the slope represents the rate of change or steepness of the line.

5. How does the intercept relate to the overall shape of a graph?

The intercept can affect the overall shape of a graph, as it determines where the graph crosses the axes. For example, a graph with a positive intercept on both axes will have a positive slope and will be an upward-sloping line, while a graph with a negative intercept on both axes will have a negative slope and will be a downward-sloping line.

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