Chapter 8, Problem 34RE

To determine

To calculate : the work does it take to stretch the spring an additional meter.

Answer to Problem 34RE

It takes to stretch the spring an additional meter is $213.3$ J.

Explanation of Solution

Given information : If a force of $80$ N is required to hold a spring $0.3$ m beyond its unstressed length.

Calculation :

The spring is constant is approximately.

  $\raisebox{1ex}{$80$}\!\left/ \!\raisebox{-1ex}{$0.3$}\right.=266.67$

The amount of work it took to stretch the spring to $0.3$ meters is:

  $\begin{array}{l}{\displaystyle \underset{0}{\overset{0.3}{\int }}266.67}dx\\ \Rightarrow 12\end{array}$

The amount of work it takes to stretch the spring an additional meter.

  $\begin{array}{l}{\displaystyle \underset{0.3}{\overset{1.3}{\int }}266.67x}dx\\ \Rightarrow 213.3\end{array}$