Question

The force required to stretch a hooke's-law spring varies from 0 n to 61.2 n as we stretch the spring by moving one end 6.6 cm from its unstressed position. find the work done in strtching the spring answer in uits of j

Answer 1

The work done on a spring obeying Hooke's law can be found using the formula W = 1/2 kx², where the spring constant k is calculated based on maximum force and displacement, followed by substituting the values back into the work formula.

Step-by-step explanation:

To calculate the work done in stretching a spring according to Hooke's law, we use the formula W = 1/2 kx², where W is work done, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

First, we need to find the spring constant k using the force and displacement given in the question. Since the force required to stretch the spring to 6.6 cm is 61.2 N, we can write Hooke's law as F = kx, which gives us k = F/x. Substituting the values, k = 61.2 N / 0.066 m.

With the value of k, we now calculate the work done: W = 1/2 kx² = 1/2 × (61.2 N / 0.066 m) × (0.066 m)². After calculating, we express the work in joules (J).