Infinite Mass and Finite Tension over a pulley

[enantiomerrem]

Homework Statement

Two masses hang across a massless, frictionless pulley. As the masses become infinitely large, the tension becomes:

Homework Equations

F=ma

The Attempt at a Solution

Can someone please help me understand how two masses suspended over a pulley can increase in mass infinitely while the tension in the rope suspending them will not exceed 1000 N? The way I have viewed it is that F=ma and as m increases so will force despite the fact that gravity is a constant acceleration. Thanks for any help provided.

 

[SammyS]

It looks like you haven't given us the whole problem.

Where does 1000 N come from ?

 

[enantiomerrem]

Right, so it is actually multiple choice:

A.) O N
B.) 500 N
C.) 1000 N
D.) Infinite

The back of my book says the anser is 1000 N, but I do not understand how this is possible. Thanks again for the help.

 

[SammyS]

Is there any more information given in the problem, such as the maximum tension at which the rope is rated?

 

[Quinzio]

What about infinite ?