Question involving spring constant

[Phenom66]

Homework Statement

We have a spring that is 30cm with a spring constant of 12000N/m
and there is a 65 kg weight put onto this spring. What is the new length of the spring?

Homework Equations

f = k *changeof* x

The Attempt at a Solution

I tried to take 65kg times 9.81 to find Newtons (which is 637.65N)
so therefore 637.65 = 12000 *change of* x
and x = 637.65/12000
But something feels fishy about this, a spring doesn't move down just .053 m

 

[AEM]

Homework Statement

We have a spring that is 30cm with a spring constant of 12000N/m
and there is a 65 kg weight put onto this spring. What is the new length of the spring?

Homework Equations

f = k *changeof* x

The Attempt at a Solution

I tried to take 65kg times 9.81 to find Newtons (which is 637.65N)
so therefore 637.65 = 12000 *change of* x
and x = 637.65/12000
But something feels fishy about this, a spring doesn't move down just .053 m

Think about it for a moment longer. How big is 637.65 N compared to 12000 N?

Then convert .053 m into centimeters. Now does it seem so unreasonable?