Phys 2B U2023 Part 2 (70 pts, 90 min) 6. (12 pt, 18 min) A 4000 W light bulb is 2 meters directly above a 100 g cube of water ice at - 20C. Assume the light is completely absorbed by the ice and that a square face of the cube points toward the light bulb. Latent heat of fusion for ice-334 kJ/kg, Specific heat of ice-2.108 kJ/(kg-K), Specific heat of water-4.187 kJ/(kg.K). The density of ice and water is 1000 kg/m. a) What is the length of the side of the cube of ice? b) What is the light intensity at the block of ice? c) How much power is absorbed by the ice assuming all incident light is absorbed? d) How long will the lamp need to run to heat the block to liquid water at 10C