Answer:
Total length is 0.65 meters
Explanation:
We have,
Mass of a person is 150 kg
The spring constant of the spring is 10000 N/m
The nominal length of the spring is 0.5.
It is required to find the total length of the spring.
Due to the mass of person, net force acting on the spring is :
[tex]kx=mg[/tex]
x is compression in the spring
g is acceleration due to gravity
[tex]x=\dfrac{mg}{k}\\\\x=\dfrac{150\times 10}{10000}\\\\x=0.15\ m[/tex]
So, the total length of the spring is the sum of length of compressed spring and its nominal length i.e. 0.5 + 0.15 = 0.65 meters
