We did a experiment on Hooke's Law in school .
Then , we were asked to prepare a report on the experiment .
In the discussion section , teacher gave me this formulas as following :
From the formula F = kx , where k is force constant of the spring , we get
x = (f/k)
Compare with y = mx + c , where m is gradient of graph and c is y - intercept .
1/k = gradient , m
=
= cm per Newton
k = 1/m
= Newton per cm
I don't know what to fill in the blanks.
Any help would be greatly appreciated.
Thank you in advance.
Then , we were asked to prepare a report on the experiment .
In the discussion section , teacher gave me this formulas as following :
From the formula F = kx , where k is force constant of the spring , we get
x = (f/k)
Compare with y = mx + c , where m is gradient of graph and c is y - intercept .
1/k = gradient , m
=
= cm per Newton
k = 1/m
= Newton per cm
I don't know what to fill in the blanks.
Any help would be greatly appreciated.
Thank you in advance.
-
What did you do during the experiment? That would have been good info for us ...
I only see one obvious blank -- for 1/k
I will assume you stretched the spring various distances and you got several measurements of force vs. distance or f vs. x. Did you plot them? I would expect that c would equal zero, but since you didn't describe the setup I guess there are setups that would give a value of c.
The suggestion is that you measure the gradient off the graph. Since m, or the gradient, has units of cm/Newtons(1/k) I guess you need to measure the
gradient as delta x / delta y.
Alternatively, or as a doublecheck, remember k is supposed to be a constant (k=f/x), so you could calculate that for each data point and average the results from each of the data points.
I only see one obvious blank -- for 1/k
I will assume you stretched the spring various distances and you got several measurements of force vs. distance or f vs. x. Did you plot them? I would expect that c would equal zero, but since you didn't describe the setup I guess there are setups that would give a value of c.
The suggestion is that you measure the gradient off the graph. Since m, or the gradient, has units of cm/Newtons(1/k) I guess you need to measure the
gradient as delta x / delta y.
Alternatively, or as a doublecheck, remember k is supposed to be a constant (k=f/x), so you could calculate that for each data point and average the results from each of the data points.