Consider two massless springs connected in series. Spring 1 has a spring constant k_1, and spring 2 has a spring constant k_2. A constant force of magnitude F is being applied to the right. When the two springs are connected in this way, they form a system equivalent to a single spring of spring constant k.
a) Find the spring constant k' of the three-spring system.
Express your answer in terms of k_1, k_2, and k_3.
In this solution, the author provides the mathematical equation necessary to find the spring constant k of the three-spring system.