Question

An object with a mass of `3 kg` is lying on a surface and is compressing a horizontal spring by `8 cm`. If the spring's constant is `2 (kg)/s^2`, what is the minimum value of the surface's coefficient of static friction?

Answer 1

The coefficient of static friction is `=0.0054`

Explanation:

The mass is `m=3kg`

The compression of the spring is `x=0.08m`

The spring constant is `k=2kgs^-2`

The reaction of the spring is `R=kx=2*0.08=0.16N`

The acceleration due to gravity is `g=9.8ms^-2`

The normal reaction of the object is `N=mg=3*9.8=29.4N`

The coefficient of static friction is

`mu_s=R/N=0.16/29.4=0.0054`