A force of 20N is applied to a spring ofelastic spring constant of 200N/m. Calculatethe energy stored in the spring.

The energy stored in a spring is given by the formula:

E = 1/2 * k * x^2

Where: E is the energy stored in the spring, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

In this case, we are given the force (F) applied to the spring and the spring constant (k), but not the displacement (x). However, we can find the displacement using Hooke's Law, which states that the force applied to a spring is proportional to its displacement. This can be written as:

F = k * x

Rearranging for x gives:

x = F / k

Substituting the given values:

x = 20N / 200N/m = 0.1m

Now we can substitute x and k into the energy formula:

E = 1/2 * 200N/m * (0.1m)^2 E = 1 Joule

So, the energy stored in the spring is 1 Joule.