Consider two mass-less springs connected in series. Spring 1 has a spring constant k₁, and spring 2 has a spring constant k₂. 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.
What is the effective spring constant k of the two-spring system? Express the effective spring constant in terms of k₁ and k₂.
