Average Spring Constant and Uncertainty of the Batch
Outline plan
============
I have been given 3 springs to which I will add different weight.
Using the value of extension (Δx) I will calculate the spring
constant. Hooke's Law says that the stretch of a spring from its rest
position is linearly proportional to the applied force (stress is
proportional to strain). Symbolically,
F = kΔx
Where F stands for the applied force, x is the amount of stretch
(found by new length minus original length), and k is a constant that
depends on the "stiffness" of the spring, called the spring constant.
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Trial plan
==========
Set up equipment as above. Measure original length of spring. Add
weights 0.5N at a time until spring reaches elastic limit. Record
extension (Δx). Plot these results on a graph and use this information
to gain a sensible number and range of values to use in full
experiment.
Safety Notes
Be sure to keep your feet out of the area in which the masses will
fall if the spring breaks
Be sure to clamp the stand to the lab table, or weight it with several
books so that the mass does not pull it off the table.
You need to hang enough mass to the end of the spring to get a
measurable stretch, but too much force will permanently damage the
spring, as it will have exceeded its elastic limit.
Wear safety glasses to protect eyes if spring suddenly recoils.
*1*
Apparatus list
==============
1 Stand
1 Clamp
1 Boss
1 hanger
3 provided springs
0 - 100.0cm ruler
1 paper clip
Set of known masses
Detailed plan
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Assemble the apparatus as shown in the diagram above. Be sure to clamp
the stand to the lab table, or weight it with several books. Some
springs tend to be "clenched" - their coils are pressing against each
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