Plotting Length of Spring vs Load: Find Unloaded Length & Extension

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Homework Help Overview

The discussion revolves around analyzing the relationship between the load applied to a spring and its corresponding length, with specific tasks to plot the data and derive the unloaded length and extensions from the graph.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the creation of a graph based on provided data points and question the accuracy of their plotted results. There are inquiries about the interpretation of the graph and the significance of the abscissa in relation to the spring's unloaded length.

Discussion Status

Some participants are exploring the linearity of the plot and the implications of connecting data points. There is a focus on identifying discrepancies in the plotted values and how they relate to the expected outcomes. Guidance has been offered regarding the proper way to interpret the graph without assuming a zero load results in zero length.

Contextual Notes

Participants express uncertainty about specific terms like "abscissa" and how to accurately represent the data on the graph. There is mention of differing interpretations of the plotted data and the potential impact on the derived conclusions.

Taylor_1989
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Homework Statement


The following results were obtained when a spring was stretched:
Load/N: 1.0 3.0 4.5 6.0 7.5
Length of spring/cm:12.0 15.5 19.0 22.0 25.0

A) use the results to plot a graph of length of spring against load.
b) use the graph to find the:
i) unloaded length of spring
ii) extensions produced by a 7.0n load
iii) load required to increase the length of the spring by 5.0cm
 

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I have used the graph that i created for the first question and get 10.2cm but the ans is 10cm so where i see a 1.8 difference of the graph the book i use sees a 2cm, so i can work out the other questions without doing the first can someone tell me where I am going wrong?
 
The plot should be linear. Your second point seems a little off. If you draw a line connecting points 1,3,4,5, it passes through 10 on the abyscissa.

Don't connect it back to 0,0 as you have done. It's length is not zero when the load is zero.
 
my maths is a little rusty could you please explain the abscissa, I can remember it has something to do with the x-axis for the carstine method ( I think ).
 
The abyscissa is the horizontal axis. You should not be drawing a line from (0,0) to
(12,1). Your data point at (15.5,3) does not line up with the others so if you forget about it and extrapolate the others to the abyscissa, you'll get what you seek.
 

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