# Chapter 17 - Think and Solve: 42

Let L represent the heat of fusion of ice, 335,000 J/kg. Using the hint in the problem, we set the initial potential energy equal to the energy needed to melt that mass of ice. Notice that the mass cancels out. $$mgh = mL$$ $$gh = L$$ $$h = \frac{L}{g} = \frac{335000 J/kg}{9.8 \frac{m}{s^{2}}} = 34184 m = 34 km$$

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