21st Century Astronomy
21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 12, Problem 44QP
To determine

The energy released by the near-Earth asteroid if it hits the Earth.

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An asteroid has a mass of 3.66 × 10kg and a radius of 8.2 × 10m. If a 25 kg mass is dropped from 10 m above the “ground” of the asteroid, how long will it take the mass to fall to the ground?
An asteroid closely passes the Earth at a range of 17200mi and a relative speed of 7.8km/s.The diameter is estimated at 30mwith a specific gravity of 3. If this asteroid had impacted Earth, how much energy would have been released? Express this quantity in units of mega-tons (M ton) where a megaton is the energy released by one million metric tons of TNT explosive. A metric ton is 1000kgand the explosive energy density of TNT is 4184J/g.Hint: If the asteroid hits the Earth, its relative velocity becomes zero. Ignore any change in asteroid velocity due to gravitational acceleration or air resistance.
If asteroid Toutatis were to pass somewhere within 24 x105 km of planet Syrene, what is the probability that it would strike the Syrene? Calculate the probability by considering an imanginary dartboard of radius 24 x105 km in which the bulls-eye has Syrene's radius, 6500.0 km. Assume the radius of Toutatis is much smaller than the radius of Syrene.
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