Question

A box 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?

Answer 1

The correct answer is 10 cm.

Step-by-step explanation:

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Answer 2

the spring will stretch 10 cm

Step-by-step 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:

`F = k* x` 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:

`F = k* x\\40\,N=400 (N)/(m) *x\\x=(40)/(400) m\\x=0.1\,m`

Such displacement is equivalent to 10 cm.