Question

A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .

What is the displacement of the spring ?
A) 0.00392m
B)0.024m
C)0.1176 m
D) 0.2352m

Answer 1

Answer:0.2352
`m`

Explanation:

Let the mass of the person be
`m`.

Let the spring constant be
`k`.

Let the displacement in spring be
`x`

Let the acceleration due to gravity be
`g`

As it is given that the person just stands,the forces are balanced.

So,
`mg=kx`

Given,

`m=60Kg\\k=2500Nm^(-1)\\g=9.8ms^(-2)`

`60* 9.8=2500* x\\x=(588)/(2500)=0.2352m`