question_answer

A spring having a force constant k is divided into three equal parts. What would be the force constant for each individual part?

Answer:

                Force constant of the spring\[K=\frac{F}{x}\], where F is the restoring force. When the spring is divided into three parts, the displacement for the same force reduces to\[x/3\], therefore, the force constant for each individual part is \[k'=\frac{F}{x/3}=3\left( \frac{F}{x} \right)=\mathbf{3k}\]