
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
Experimental determinations have shown that the cannon makes an almost uniformly accelerated motion in the gun barrel. For the cannons on the new French warships, the length of the barrel from the center of gravity of the cannon to the end is $12.2 \mathrm{~m}$, the weight of the gunpowder is $90 \mathrm{~kg}$, and the weight of the cannon is $292 \mathrm{~kg}$. The cannon leaves the barrel at a velocity of $800 \frac{\mathrm{m}}{\mathrm{sec}}$. 

- What is the acceleration of the cannon in the barrel?
- How much time does it take to travel through the barrel?
- What is the energy of the cannon?
- What is the efficiency per kilogram of gunpowder?
- If this cannon hits a steel armor at the given speed, most of its energy will turn into heat energy. Assuming that $70 \%$ of this energy remains in the cannon, to what temperature in degrees Celsius does the cannon heat up if its specific heat capacity is $0.12$?



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