The rain-soaked shoes of a person may explode if ground current from nearby lightning vaporizes the water. The sudden conversion of water to water vapor causes a dramatic expansion that can rip apart shoes. Water has a density of 1000 kg/m^3 and requires 2256 kJ/kg to be vaporized. If a horizontal current lasts 2.00 ms and encounters water with resistivity 150 Ω·m, length 12 cm, and vertical cross-sectional area 15×10^−5 m^2, what average current is required to vaporize the water?
Exploding Shoes. The rain-soaked shoes of a person may explode if ground current from
nearby lightning vaporizes the water. The sudden conversion of water to water vapor causes
a dramatic expansion that can rip apart shoes. Water has a density of 1000 kg/m^3 and requires
2256 kJ/kg to be vaporized. If a horizontal current lasts 2.00 ms and encounters water with
resistivity 150 Ω·m, length 12 cm, and vertical cross-sectional area 15×10^−5 m^2, what average current is required to vaporize the water?
Given:
Density of water =1000 kg/m3
Energy required to vaporize water =2256 kJ/kg
Time current lasts =2 ms =
Resistivity of current =150 Ω·m
Vertical cross-sectional area =15×10−5 m2
length = 12 cm
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