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). What is the effective spring constant k of the two-spring system?
Express the effective spring constant in terms of k_1 and k_2.