There is a box attached to a spring. The spring has a spring constant of 39 N/m. The ì between the box and the surface is 0.3. The box has a mass of 1 kg.

Question

What is the maximum distance that the spring can be stretched from equilibrium before the box begins to slide back?

Answer 1

What you call "The ì" must be the static friction coefficient, mus.

Let X be the maxium displacement without slipping.

k*X = M*g*mus

k is the spring constant.
You know what g and M are.

Solve for X