Finding Force between 2 objects

[rollercoaster]

Homework Statement

Two objects are in contact on a frictionless surface. A horizontal force is applied to one object. Use m1 = 2.86 kg and m2 = 4.92 kg. If a force of 3.37 N acts between the two objects, what is the force F? I don't even know where to start! I've attempted this a numerous amount of times, and I still can't get the correct answer!

Homework Equations

F=ma

The Attempt at a Solution

 

[Dougggggg]

So are you trying to find the force applied to the first object from whatever is pushing it and 3.37 N is the equal and opposite force applied between? If that is the case, the first thing you should do is just draw a picture with both objects then label all the forces acting on the boxes. Even if you don't know what they are. Disregard n(normal force) and w or mg (force due to gravity). They are not really a factor in this problem. You should for object 1 have a force acting against of 3.37 N(F₂₁, force of object 2 onto object 1), as well as the force applied from whatever is pushing it (F_x). For object 2, you only have the force from object 1 of 3.37 N. Now set up your sum of forces equations.
\SigmaF₁=m₁a=F_x-F₂₁
\SigmaF₂=m₂a=F₁₂
Now just do some algebra and you will be able to find the rest.