
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
What is the minimum force needed to press down on a cube with a volume of 10 cm$^{3}$, floating in water, so that it is fully submerged? The density of the cube's material is $500 \mathrm{kg/m}^{3}$, the density of water is $1000 \mathrm{kg/m}^{3}$, and the acceleration due to gravity should be taken as $10 \mathrm{m/s}^{2}$. Provide the answer in SI units.

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