Question

An elastic band has a spring constant of 55 N/m. It will break when the force reaches 2000N. How far do you need to stretch the band for it to break

Answer 1

Given data

*The given spring constant is k = 55 N/m

*The given force is F = 2000 N

The expression for the stretching of the band is given by Hooke's law as

`\begin{gathered} F=kx \\ x=(F)/(k) \end{gathered}`

Substitute the values in the above expression as

`\begin{gathered} x=(2000)/(55) \\ =36.3\text{ m} \end{gathered}`

Hence, the stretching of the band is x = 36.3 m