
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
The diameter of a well pump tube is $a=12 \mathrm{~cm}$. The piston is connected via a rod to the shorter arm of a two-armed lever, where the ratio of the arms is $k=1: 5$. A person holds the end of the longer arm and pumps water, making $n=40$ pulls per minute, while the end of the longer arm lowers by $h=60 \mathrm{~cm}$.

1. How many $\mathrm{kg}$ of water are pumped per hour?
2. What is the total power exerted by the person in horsepower, including the work done against friction?

The force exerted against friction is $\frac{1}{12}$ of the lifting force.

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