1. The diameter of the Sun is equal to 1.392 × 10⁹ m, and the distance from the Sun to Saturn is equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system, and you are using a volleyball with average diameter of 21 cm to represent the Sun.
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- 1. The diameter of the Sun is equal to 1.392*10^9 m, and the distance from the Sun to Saturnis equal to 9.5 AU. Suppose you want to build an exact scale model of the solar system,and you are using a volleyball with average diameter of 21 cm to represent the Sun. a) In your scale model, how far away would Saturn be from the Sun? Give your answer inmeters.b) The actual diameter of Saturn is 116,460 km. What would be Saturn’s diameter in yourscale model? Give your answer in centimeters.2. Over several months an astronomer observes an exoplanet orbiting a distant star at a distance of 5.934 AU. Its orbit period was projected to be 3.875 years. Convert the orbit radius to meters and period to seconds. Use this information to calculate the mass M of the star in kg and solar mass units (Mo). Star Exoplanet Orbit radius (m) Orbit period (s) Star mass (kg) Star mass (Mo)The diameter of the Moon across its equator is 3476 kilometers. If a kilometer equals 0.6214 miles, what is the Moon’s diameter in miles?
- According to the solar nebula theory, why is the Earth’s orbit nearly in the plane of the Sun’s equator?5. A spherical planet has a mass of 5 X 1024 kg. Its diameter is 10,000 km. First calculate its vol- ume in meters (1 km = 1000 m). Then calculate its density (Mass/Volume) in kg/m³.I. Directions: Complete the given table by finding the ratio of the planet's time of revolution to its radius. Average Radius of Orbit Times of Planet R3 T2 T?/R3 Revolution Mercury 5.7869 x 1010 7.605 x 106 Venus 1.081 x 1011 1.941 x 107 Earth 1.496 x 1011 3.156 x 107 1. What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support? II. Solve the given problems. Write your solution on the space provided before each number. 1. You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. Find the following: a) Speed b) Period c) Radial Acceleration Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer:
- 2. On August 27, 2003, the planet Mars was at a distance of 0.373 AU from Earth. The diameter of Mars is 6788 km. a) Calculate the angular diameter of Mars, as seen from Earth on August 27, 2003. Give your answer in arcminutes.7. The brightest four moons of Jupiter were discovered by Galileo with one of his earliest telescopes. These moons, lo, Europa, Ganymede, and Callisto, are called the Galilean moons in his honour. Some of the available data about these moons are given below. MOON r (km) V T (earthyears) 0.004837 lo a. Europa Ganymede Callisto 4.219 x 105 6.712 x 105 1.853 x 106 0.0195884 The radii are from the centre of Jupiter to the centre of the moon in question. One earth year has 365 days. Using the data for above, find the mass of Jupiter. Be specific as to which line of data was used and why. Show all work.9. A Saturn year is 29.5 times the earth year. How far is the Saturn from the sun if the earth is 1.50 x 10° km away from the sun?