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A student measures the extension of a spring for five forces.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A student measures the extension of a spring for five forces. The extensions are 0.05, 0.10, 0.15, 0.20 and 0.25 m, and the forces are 2.4, 5.1, 7.4, 10.2 and 12.4 N. Fit a straight line. What is the spring constant? What extension should a force of 6 N give? Find .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. The slope of the line force against extension is the spring constant. For the prediction, solve for : .
Check. The slope is N/m, the intercept is N, so the force at zero extension is nearly zero, as it should be. For 6 N: m. .
Answer: N/m, the extension for 6 N is about 0.120 m, and .
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