
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 in lifting a satellite from the surface of the Earth to a height of \( H \) km. The mass of the satellite is \( m \) tons, the radius of the Earth is \( R_{E} = 6380 \) km, and the acceleration due to gravity at the Earth's surface is \( g = 10 \, \text{m} / \text{s}^2 \).

Given:
\[ m = 4.0 \, \text{t}, \, H = 500 \, \text{km} \]

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