You compress a spring by x, and then release it. Next you compress the spring by 2x. How much more work did you do the second time than the first

Work done is k.

Explanation:

The work done by the spring is the same as the potential energy stored in the spring.

So that,

work done = potential energy = k

where k is the spring constant of the material of the spring, and x is the compression.

When the spring is compressed by x;

work done = k

When the spring is compressed by 2x;

work done = k

                  = k(4)

                  = 2k

Therefore,

The work done the second time more than the first = 2k - k

                                                                                = k

The work done the second time more than the first is k.

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.