Which one of these 3 graphs represents Hooke's law?

[JayLu8173]

Homework Statement

Which one obeys Hooke’s Law and why?

For the material(s) that did obey Hooke’s Law, calculate the spring constant, k. SHOW ALL WORK: listed variables, units, equations without substitutions, equations with substitutions, final answer with units!

The Green line on the graph represents the Rubberband, Blue and Red represent Spring 1 and 2 respectively.

Homework Equations

F=-k(x)

The Attempt at a Solution

From what I can tell, Hooke's law has a linear relationship, so the line would be perfectly straight. Spring 2 is almost the same as its perfect fit line, so I think it does follow the law (it's a little different due to human errors, I am thinking). Does any other graph represent Hooke's Law? They seem to deviate from their perfect fit line a lot more than spring 2. Also, to calculate the spring constant, would I have to use F=-k(x) for each of the points I gathered than find the average (I have a force/weight and displacement table as well)? The slope of the line shown is for the perfect fit so I am not sure. Thank you for your time!

 

[mfb]

From what I can tell, Hooke's law has a linear relationship, so the line would be perfectly straight. Spring 2 is almost the same as its perfect fit line, so I think it does follow the law (it's a little different due to human errors, I am thinking).

Right.

They seem to deviate from their perfect fit line a lot more than spring 2.

Right

Also, to calculate the spring constant, would I have to use F=-k(x) for each of the points I gathered than find the average (I have a force/weight and displacement table as well)?

The fitted value from excel is better.