A force of 100 Newtons will stretch a spring 0.25 meter. How far will a force of 80 Newtons stretch it?
A. 2 m
B. 0.2 m
C. 0.04 m
D. 0.4 m

Question

A force of 100 Newtons will stretch a spring 0.25 meter. How far will a force of 80 Newtons stretch it?
	A.	2 m
	B.	0.2 m
	C.	0.04 m
	D.	0.4 m

whpalmer4 · Answer

It's a straightforward proportion, because Hooke's Law is $F=kx$, when the deformations are small enough.  You've got values for $F$ and $x$ which you can use to find $k$ to apply to your second value of $x$.

whpalmer4 · Answer

Or, observing that the force/deformation is linear, multiply the ratio of the deformations with the known force to get the other force.

whpalmer4 · Answer

Sorry, ratio of the forces with the known deformation...