Question

A 150kg person stands on a compression spring with spring constant 10000n/m and nominal length of 0.50.what is the total length of the

Answer 1

Total length is 0.65 meters

Step-by-step 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 :

`kx=mg`

x is compression in the spring

g is acceleration due to gravity

`x=(mg)/(k)\\\\x=(150* 10)/(10000)\\\\x=0.15\ m`

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