
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 speed of a meteor when it enters the atmosphere is $50 \mathrm{~km/s}$, which soon decreases to $5 \mathrm{~km/s}$ due to air resistance. Calculate how much a meteor, which has a mass of $1 \mathrm{~kg}$ and a specific heat of $0.114$, heats up. How many kilograms of ice could be melted by this heat if the latent heat of fusion for ice is $80 \mathrm{~cal}$?

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