Walker, Halliday & Resnick — Current and Resistance: Problem 16

16 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 density \(1000 \text{ kg/m}^3\) and requires \(2256 \text{ kJ/kg}\) to be vaporized. If horizontal current lasts \(2.00 \text{ ms}\) and encounters water with resistivity \(150 \ \Omega \cdot \text{m}\), length \(12.0 \text{ cm}\), and vertical cross-sectional area \(5.0 \times 10^{-5} \text{ m}^2\), what average current is required to vaporize the water?