Background: My professor for system dynamics at my university gave us an engineering dynamics concept quiz. A particular question I am interested in presented two figures I have re-drawn below. The pulleys are stated to have no mass or friction. No gravitational accelerations, or mass was given for the left figure.
My professor said (without proof) that the figure with the idealized force (right figure) will accelerate faster. I would like to know why.
I am posting here because my professor could not understand where my confusion was and thus could not answer my question to my satisfaction.