Kinetic/Potential energy of spring mass system

[Name15]

Homework Statement

Question: Does the force F(t) acting on mass m1 affect the equations for kinetic and potential energy of the system?

Homework Equations

F(t) is known
V(q) is potential energy | T(q) is kinetic energy

The Attempt at a Solution

I think PE is not affected.
I think KE is affected, but not sure how?

 

[Name15]

q1 is distance from wall to m1
q2 is distance from wall to m2

 

[HallsofIvy]

I am not clear what the question is but certainly, F(t() is an external force acting on the system.