Question

Which displacement value will produce the smallest restoring force if the same spring is used in each case A. 1/2CM B.2cm c.1/3cm d.3cm

Answer 1

Hi! So, have you ever played with a big spring? The farther you pull or push it, the harder it is to continue doing so. The force that restores the spring to its original position is stronger with increased distance that you push or pull it.

The equation for this is:\[F=-kX\]which is Hooke's Law.
Here, \(F\) is restoring force, \(k\) is a constant that depends on the spring, and \(X\) is the displacement of one end of the spring to its original position.

Answer 2

the minus sign says that the direction of force on the spring is opposite to the direction of displacement...