Hi guys, I <3 math but detest physics. Well, my math teacher gave us a project over hooke's law and spring constants. If anyone could just give me a gentle prodding in the right direction or tell me if I'm going about this the correct way, that would be fantastic! Here goes:
We were given a stretchy band used in physical therapy. It is long and stretchy and we were told to do the following:
Determine the spring constant k for at least 3 different lengths of your stretchy band.
- We did this by attaching 1.25 lbs of weight to a string and tying the
string with weight onto the stretchy band. We premeasured the
distances where we were tying the string with weight so we could
find the length before the weight was attached. We then measured
the length of the stretchy band after the weight was attached. We
did this three times.
-To find k, we rearranged Hooke's law to look like this:
k = F/(delta x)
-We did our calculations for all three lengths of the band.
Here's where I get a little confused. We need to find a general equation so that someone could insert a certain length into our equation for our red stretchy band and get the particular k value for that length. I want to graph the three data points we collected in excel and then do a best fit line using a power series. Should my x-axis be change in length, length before stretch, length after stretch, or something else? Should my y-axis be my k value?
Any help is much appreciated!