A spring has a force constant of 525 N/m. A force of 375 N is applied to the spring. Find the elongation of the spring and its elastic potential...

Hello!

I suppose that the spring follows Hooke's Law:

where is the force (it is given), is the spring force constant (given also) and is the length of the elongation or compression. Using this formula we can find the length of an elongation,

Also it is known that for such a springs the elastic potential energy is equal to

Now perform the calculations.

For the first case, the...

Hello!

I suppose that the spring follows Hooke's Law:

where is the force (it is given), is the spring force constant (given also) and is the length of the elongation or compression. Using this formula we can find the length of an elongation,

Also it is known that for such a springs the elastic potential energy is equal to

Now perform the calculations.

For the first case, the elongation is 
The elastic potential energy is

For the second case, the elongation x is 
The elastic potential energy is

There is no surprise that for the less force the elongation occurred to be less also, and the same is observed for the elastic potential energy.