Chapter 17: Problem 51
An asteroid with a diameter of 10 km and a mass of \(2.60 \times 10{^1}{^5} kg\) impacts the earth at a speed of 32.0 km/s, landing in the Pacific Ocean. If 1.00% of the asteroid's kinetic energy goes to boiling the ocean water (assume an initial water temperature of 10.0\(^\circ\)C), what mass of water will be boiled away by the collision? (For comparison, the mass of water contained in Lake Superior is about \(2 \times 10{^1}{^5} kg\).)
Short Answer
Step by step solution
Calculate the Kinetic Energy of the Asteroid
Determine Energy Used to Boil Water
Calculate the Energy Required to Boil 1 kg of Water
Find the Mass of Water Boiled Away
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Asteroid Impact
Energy Conversion
- Kinetic Energy: The energy an object possesses by being in motion.
- Thermal Energy: The internal energy from heat, which can change the state of matter, such as boiling water.