I have to write out the differential equation modelling this system: There's a mass connected to a wall with a spring of spring constant $k_1$, sitting on a frictionless surface, with another spring (with spring constant $k_2$) attached to the other end of the mass but not connected to anything on it's other end. Both springs are massless. A force is then applied to the $k_2$ spring and released to start the system moving.
My question is, other than the fact that I need to relate the initial position of the mass to the spring constants $k_1$ AND $k_2$, does the $k_2$ spring affect the system at all? I can't see what affect a massless spring attached to one end of a block, but not attached to anything else could do. Is this spring going to affect my differential equation?