
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
With what minimal force must you press on a cube with a volume of $10 \text{ cm}^3$, floating in water, so that it is completely submerged? The density of the cube's material is $500 \text{ kg/m}^3$, and the density of water is $1000 \text{ kg/m}^3$. Give the answer in SI units. Assume the acceleration due to gravity is $10 \text{ m/s}^2$.

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