Plotting F=kx Graph for Lab Report

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To plot the F=kx graph for the lab report, accurate measurements of displacement (x) for various masses (20g, 40g, 50g) are essential to determine the spring constant (k). The slope of the best fit line on the F-x graph represents k, and it is crucial to ensure that the data points align closely to form a straight line. If the points do not align, it may indicate measurement errors or insufficient data, suggesting the need for additional observations. Drawing error bars for each data point can help visualize the accuracy of the measurements. Ultimately, the goal is to accurately represent the relationship between force and displacement to calculate k and assess experimental errors.
Nrt
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Hi, I need to plot a graph of F=kx for my lab report.

By measuring x, displacement of spring for every mass (20g, 40g,50g) we found k. Now i need to draw F-x graph.

I put my F and x data on graph w/o any problems. But when it comes to draw the line of F=kx i get stuck. Using the line's slope i need to find theoritecal k and calculate the error.

I need to have a graph like this:

http://phoenix.phys.clemson.edu/tutorials/graph/labgraph.gif

This is my second lab report so i need help to get started and learn how to draw properly.
 
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I am not sure where the problem is. The slope of the straight line created by the plotted data IS k.

AM
 
It appears either that force is not proportional to distance or you have some error in your data. Can you draw error bars for each point (representing the accuracy range of your data)? Draw a line that passes close to all points within the range of error for each point.

AM
 
graph i linked is not the real one. I made it up just to show. But it looks something like that.

Its normal that there are errors because the x(dL) was measured with a ruler for every mass atached to spring.

Actually sole purpose of drawing this graph is to see errors and calculate it. So my problem is, i put my data on graph, it looks like in the above link, öow i need my staight line (f=kx) so i can find theoritecal k and calculate the error %. But i don't know how to draw the line. if i give say, 3 to x and f is 3k. k is unknown and the purpose of experiment is to find k. is it the trendline that i need to draw? or is there another way to draw the line?
 
Nrt said:
http://www.analytictech.com/mb313/regress3.htm

like the figure 2 in this page. how do i get a line like this?
By having data points that form a line.

If your data points do not line up, you might redo the experiment. Try to get more data. You cannot really determine much from three points.

AM
 
Nrt said:
graph i linked is not the real one. I made it up just to show. But it looks something like that.

Its normal that there are errors because the x(dL) was measured with a ruler for every mass atached to spring.

Actually sole purpose of drawing this graph is to see errors and calculate it. So my problem is, i put my data on graph, it looks like in the above link, öow i need my staight line (f=kx) so i can find theoritecal k and calculate the error %. But i don't know how to draw the line. if i give say, 3 to x and f is 3k. k is unknown and the purpose of experiment is to find k. is it the trendline that i need to draw? or is there another way to draw the line?
You cannot assume that the spring is a perfect Hooke's law spring. Hooke's law really isn't a law. It is just an approximation that has been observed. Nevertheless, your data should form a reasonably straight line. If not, you should do a few more observations so you have more data points.

Give us your data and I might be able to add something more to my previous comments.

AM
 
Andrew Mason said:
By having data points that form a line.

If your data points do not line up, you might redo the experiment. Try to get more data. You cannot really determine much from three points.

AM

Thx for help.
 

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