In the previous lab, we calculated the area in between Mars' and Jupiter's orbit to be ~1.6e18 km2. Since there are roughly 750,000 asteroids, how much area (in km2) is available for one asteroid? Use this calculation to argue whether you are likely (or not) to hit an asteroid while flying through the asteroid belt. (Hint: To answer the first part of the question, find the area per asteroid)

4) Science fiction movies often portray asteroid belts as crowded, dense regions that require spaceships to maneuver quickly to get through them. In this problem, we will calculate the fraction of volume in an asteroid belt that is actually occupied by asteroids. a) If there are 300,000 large asteroids between 2 and 3 AU from the Sun, and each asteroid is assumed to be spherical with a radius of 100 km, determine the total volume occupied by asteroids in this region. Recall that the volume of a sphere is given by the equation V = 4TR³ /3. b) Let's assume the region in which these asteroids orbit is an annulus with an inner radius of 2 AU, an outer radius of 3 AU, and a thickness of 2Ro. Determine the volume of this region. Recall that the area of a circle is given by the equation A = TR². Here are two conversions that you'll need: 1 AU = 1.496 × 108 km and 1 Ro = 6.955 × 105 km. c) What is the ratio of the volume occupied by asteroids to the volume of the asteroid belt (i.e., the…

Mars has the largest volcanoes in the solar system. (T/F)

If you visited a planet in another solar system and discovered that it was heavily cratered, but its small moon was nearly crater free, why would that be a surprise? Speculate about what might have happened to those objects.