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AS101ps4 - J.I AS101 Problem Set#4 29 What's unusual about...

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J.I. AS101 Problem Set #4 6/19/07 29.    What’s unusual about our Moon? (a) It’s the only moon that orbits a terrestrial planet. (b) It’s by far the largest  moon in the solar system. (c) It’s not the largest moon, but it’s surprisingly large relative to the planet it orbits. (c) The Earth’s moon is not the largest satellite in the solar system but no other satellite shares such a large ratio of the satellite to planet ratio. This makes our moon a special case and causes us to make different hypotheses about the formation of satellites. We might consider our moon was formed differently than the others. We think it may have been formed after a large collision with Earth caused a large chunk to disengage from the Earth during forming and begin an orbit around the planet. This is different than the other satellites which may have just been extra debris and mass picked up by gravity during the formation of the solar system. 42. Density Classification. Imagine that a new planet is discovered in our solar system with a mass of 5.97  ×  1025  kilograms and a radius of 12,800 kilometers . Based just on its density, would we consider it the largest terrestrial planet  or the smallest jovian planet? Explain. (Hint: Be careful to convert your density to units of grams per cubic centimeter in  order to compare with the terrestrial and jovian planet data in this chapter.) Kilogram to Gram conversion: (1g / 5.97 x 10 25 kg) * (1kg / 1000g) = 5.97 x 10 28 g Kilometer to Centimeter r = (12800km / 1cm) * (100000cm / 1km) = 1.29 x 10 9 cm Volume of a sphere = (4/3)(pi)(r)^3 Volume = (4/3)(3.14159)(1.29x10 9 cm) 3 = 8.99 x 10 27 cm 3 Density = mass(g) / volume(cm 3 ) = (5.97 x 10 28 g) / (8.99 x 10 27 cm 3 ) = 6.64 Based on the Table in this chapter the density of the 4 terrestrial planets varies between 3.93(furthest) and 5.43(closest). The jovian planets vary between 1.33 and 2.0. This tells us that higher density planets are located closer to the sun in the solar system. So we can assume that this new planet is within the terrestrial planets. Based off of the radius of the planet we can again assume that the new planet is within the terrestrial planets. It is not big enough to be a jovian planet. The planet would be the largest of all the terrestrial planets in our solar system. 37. An Early Solar Wind. Suppose the solar wind had cleared away the solar nebula before the seeds of the jovian planets  could gravitationally draw in hydrogen and helium gas. How would the planets of the outer solar system be different?  Would they still have many moons? Explain your answer in a few sentences.
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