Question

A spring of length 6 meters stretches to 6.6 meters when a 1.8 kg mass is hung vertically from one end. What is the spring constant? [Use g = 10 m/s^2]

Answer 1

Given data

*The given mass is m = 1.8 kg

*The spring stretches is x = 6.6 m

*The value of the acceleration due to the gravity is g = 10 m/s^2

The formula for the spring constant is given as

$k=\frac{mg}{x}$

Substitute the known values in the above expression as

$\begin{gathered} k=\frac{(1.8)(10)}{(6.6)} \\ =2.72\text{ N/m} \end{gathered}$

Hence, the spring constant is k = 2.72 N/m