Plotting F=kx Graph for Lab Report

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Homework Help Overview

The discussion revolves around plotting a graph of force (F) versus displacement (x) based on Hooke's law (F=kx) for a lab report. The original poster has collected data by measuring the displacement of a spring with various masses and is seeking assistance in accurately drawing the graph and determining the slope to find the spring constant (k).

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the slope of the graph and the spring constant (k). There are questions about whether a best fit line or a theoretical line should be drawn. Some participants suggest considering errors in the data and the need for more data points to ensure accuracy.

Discussion Status

The discussion is ongoing, with participants providing insights into the nature of the graph and the importance of error analysis. There is no explicit consensus on the best approach to drawing the line, and multiple interpretations of the graphing process are being explored.

Contextual Notes

Participants note that the measurements may have inherent errors due to the method of measuring displacement with a ruler. The original poster expresses uncertainty about how to proceed with drawing the line for the graph and calculating the theoretical k.

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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