
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
Determine the work (in joules) done to lift a satellite from the Earth's surface to a height of $H$ km. The mass of the satellite is $m$ tons, the radius of the Earth is $R_{3} = 6380$ km. Assume the acceleration due to gravity $g$ at the Earth's surface is $10 \mathrm{~m} / \mathrm{c}^{2}$.

$$
m = 5.0 \text{ tons}, H = 450 \text{ km}
$$

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