Calculate the time it would take to melt a steel nail (4A current fuse). The nail may be assumed to be a perfect cylinder with a diameter of 2.5mm and a length of 2cm. It should also be assumed that resistance has a linear relationship to temperature and there are no energy losses. The room temperature is 20℃. The nail has the following properties: Specific Heat Capacity 420 Jkg^-1K^-1, Density 8000kg/m^3, Resistivity 7*10^-7Ωm, Melting Point 1370℃
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