What Causes the Acceleration of the Smaller Mass in a Two-Mass Pulley System?

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Homework Statement

Two masses, 1.98 kilograms and 2.68 kilograms, are attached to a lightweight cord that passes over a pulley as shown below.

What is the acceleration of the smaller mass? Hint: For a system of connected objects, the unbalanced external force acts on the mass of the entire system.

Homework Equations

w=gm

Fnet=ma

The Attempt at a Solution

1.98+2.68=4.66kg

4.66kg(9.8)=45.668 N

45.668N/1.98kg = 23.1 m/s/s

Is this correct?

 

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any help?