To calculate the force needed to stretch a steel rod using Hooke's Law, the formula F = kx is applied, where k is the spring constant and x is the distance stretched. Given a spring constant of 2.1 x 10^6 N/m and a stretch of 0.001 m, the force can be calculated directly by plugging in these values. The discussion emphasizes that understanding the relationship between the variables is key to solving the problem. Participants confirm that with the provided values, calculating the force is straightforward. The focus remains on correctly applying the formula to derive the solution.