Problem 6 Meteorite splashdown A roughly spherical meteorite with radius R= 5 m enters the Earth's atmosphere and slams into a large lake, which is initially just slightly above 0 °C. Water has a specific heat of about 4,000 J/kgK, and a latent heat of vaporization of about 2 x 10° J/kg. The meteorite is composed primarily of nickel, which has a density of about 10,000 kg/m² and a specific heat of about 400 J/kgK. a) What is the mass of the meteorite? As always, you may use the approximation a= 3. b) If the meteorite is traveling at 2,000 m/s as it approaches the lake, what is the kinetic energy of the center of mass of the meteorite, KEC.M, immediately before the impact? c) How much heat, Qcool, must be exchanged between the meteorite and the lake in order to cool the meteorite from its initial temperature of 1,373 K down to the temperature of boiling water? State whether this heat is added to or removed from the meteorite during this process. d) If all of the meteorite's initial kinetic energy, KECM, AND thermal energy, Qcools goes into heating and boiling lake water, what total mass of water will be boiled off? You may assume that all steam leaving the lake is not heated above 100 °C, and that any water in the lake that receives any amount of heat from the meteorite gets enough to boil.

Problem 6 Meteorite splashdown A roughly spherical meteorite with radius R= 5 m enters the Earth's atmosphere and slams into a large lake, which is initially just slightly above 0 °C. Water has a specific heat of about 4,000 J/kgK, and a latent heat of vaporization of about 2 x 10° J/kg. The meteorite is composed primarily of nickel, which has a density of about 10,000 kg/m² and a specific heat of about 400 J/kgK. a) What is the mass of the meteorite? As always, you may use the approximation a= 3. b) If the meteorite is traveling at 2,000 m/s as it approaches the lake, what is the kinetic energy of the center of mass of the meteorite, KEC.M, immediately before the impact? c) How much heat, Qcool, must be exchanged between the meteorite and the lake in order to cool the meteorite from its initial temperature of 1,373 K down to the temperature of boiling water? State whether this heat is added to or removed from the meteorite during this process. d) If all of the meteorite's initial kinetic energy, KECM, AND thermal energy, Qcools goes into heating and boiling lake water, what total mass of water will be boiled off? You may assume that all steam leaving the lake is not heated above 100 °C, and that any water in the lake that receives any amount of heat from the meteorite gets enough to boil.