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 closely passes the Earth at a range of 17200 mi and relative speed of 7.8 km/s. The diameter is estimated at 30 m with 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 (Mton) where a megaton is the energy released by one million metric tons of TNT explosive. A metric ton is 1000 kg and the explosive energy density of TNT is 4184 J/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.
Voyager 1 and Voyager 2 surveyed the surface of Jupiter’s moon Io and photographed active volcanoes spewing liquid sulfur to heights of 70 km above the surface of this moon. Find the speed with which the liquid sulfur left the volcano. Io’s mass is 8.9 × 1022 kg, and its radius is 1 820 km.
We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the planet. It took our probe 3.5x105s to orbit the planet. Which equation will be used to calculate the mass of planet Kerbal? Possible Formulas that can be used to answer the question: v=(2πr)/T ac=v2/r ac=(4π2r)/T2 Fc=mac Fg=mg F=(Gm1m2)/d2 g=Gm/r2 T2=(4π2/Gm)r3 v=√(Gm)/r g=9.80m/s2 G=6.67x10-11 (N∙m2)/kg2
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