
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the work done by the force field, where at each point \((x, y)\) the force per unit mass is given by \(\bar{p}=(x+y) \bar{i}-x \bar{j}\), as a mass point \(m\) describes a circle \(x=a \cos t, y=-a \sin t\), moving in a clockwise direction.

Present the answer in LaTex format: \boxed{Your answer}
user