An object is attached to the lower end of a 100-coil spring that is hanging from the ceiling. the spring stretches by 0.170 m. the spring is then cut into two identical springs of 50 coils each. as the drawing shows, each spring is attached between the ceiling and the object. by how much does each spring stretch?

Explanation:

As we know by force balance

now we have

now we know that spring constant is inversely depends on the length of the spring

So when length of the spring is half then the spring constant is doubled

so we will have

now we have

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.