Chapter 14.1, Problem 11SSC

To determine

Whether or not the rubber band obeys Hook’s Law from the graph.

Explanation of Solution

Introduction:

A fundamental relation that explains how a weight on a spring stretches that spring is called as Hooke's law.

Hooke's Law basically determines the force that is needed to extend or by some distance which is proportional to that distance.

  $F=-kx$ (Hooke's law)

where,

  $F=$ applied load

  $k=$ spring constant

  $x=$ extension of the spring

Rubber bands have a linear proportionality between the load and extension only when it is reached till a certain limit.

  $10\%$  increase in stretched load will make a rubber band $10\%$  longer. Still, when rubber bands are stretched to double of their actual size or more, the law does not hold true.

Conclusion:

Therefore, if the graph is a straight line, the rubber band will follow Hooke’s law and if the graph is curved then it will not follow Hooke’s law.