A spring requires a force of 25 n to produce an extension of 2 cm in it. what is the work done in further extending it by 3 cm

The force of a spring can be calculated by the expression:

F = kx where k is a constant and x is the distance.

From the problem statement, we can solve the value of k from the initial conditions given as F = 25 N and x = 2 cm.

25 = k (0.02)

k = 1250

We use the work formula which is force times the distance resulting to the expression:

W = (1/2) (kx^2)

W = (1/2) (1250) (0.03^2)

W = 0.5625 J