FILL IN THE BLANK. Suppose some non-linear spring requires F(x) = 9,000,000. x³ newtons of force to compress/ stretch it a m from equilibrium. What is the work required to compress the spring 1 cm from equilibrium?
______ joules What is the work required to compress the spring from 1 cm beyond equilibrium to 2 cm beyond equilibrium?
_____ joules This means it takes ______ times as much work to move the spring from 1 to 2 cm as it does from 0 to 1 cm. So you might attach a component to such a spring like this if you wanted the component to... a. to be very rigid and hard to move about.
b. to jiggle about very easily. c. to move relatively freely at first, then become progressively more rigid. d. to be rather rigid at first, then jiggle become progressively easier to move.