On a distant planet, a rock falls in 48.4 s from the top of a 1.10e+02 m cliff to the planet surface below. What is the accelera
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When the iron and the water reach thermal equilibrium, they have same temperature, 
.
We can consider this as an isolated system, so the heat released by the water is equal to the heat absorbed by the iron.
The hear released by the water is:
where
is the water mass, 
is the specific heat of the water, and 
is the variation of temperature of the water.
Similarly, the heat absorbed by the iron is:
where
is the iron mass, 
is the iron specific heat, and 
is the variation of temperature of the iron.
Writing
and replacing the numbers, we can solve to find mw, the mass of the water:
We can consider this as an isolated system, so the heat released by the water is equal to the heat absorbed by the iron.
The hear released by the water is:
where
Similarly, the heat absorbed by the iron is:
where
Writing