
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 centrifugal force acting on a unit mass at the equator due to Earth's rotation? What would this force be at the same location on a mountain that is $8000 \mathrm{~m}$ high? By how much would Earth's gravitational force decrease on this mountain? What would be the weight of a $75 \mathrm{~kg}$ person on this mountain?

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