Question

Some forces follow an linear force law - usually the force needed to compress or stretch an object - but it is not limited to only those cases. Examples include springs, rigid bodies like buildings, bridges, and bones, and small oscillation pendulums. Typically, linear force laws involve
For our example let's pretend C is equal to 1 (in appropriate units of course) and that the compression distance x is equal to 1the distance x of compression (or stretching) as shown below


please see post below

Answer 1

Some forces follow an linear force law - usually the force needed to compress or stretch an object - but it is not limited to only those cases. Examples include springs, rigid bodies like buildings, bridges, and bones, and small oscillation pendulums. Typically, linear force laws involve the distance x of compression (or stretching) as shown below



The symbol C could be anything - a constant or perhaps other factors that affect the force.

For our example let's pretend C is equal to 1 (in appropriate units of course) and that the compression distance x is equal to 1.0 meter.

What is the size of the force? F = 1.0 N

What happens to the size of the force if x is (a) doubled, (b) tripled, or (c) reduced to half its original size?