
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
A railway train with a total weight of 300 tons reaches a maximum speed of $35 \mathrm{~km/h}$ on a horizontal plane. Calculate the locomotive's power if the coefficient of friction is 0.005. What is the maximum speed this train can achieve on a track with a gradient of $1:100$ (the tangent of the slope angle is $=0.01$)?

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