Abox that has a weight of 40 n is hung from a spring. the spring constant of the spring is 400 n/m.

how many centimeters will the spring stretch?

the spring will stretch 10 cm

Explanation:

With the 40 N mass hanging from it, the restorative force of the spring will equal 40 N.

Let's recall that the restorative force "F" of the spring has a magnitude proportional to the displacement "x" from its relax position as per the following formula:

where "k" is the spring's constant.

We can from this expression find the value of the displacement "x" just solving for it in the equation:

Such displacement is equivalent to 10 cm.