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1. Mars takes 1.88 years to complete one orbit around the sun. What is its average distance from the sun?
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- (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.8. The mean distance of Earth from the Sun is 149.6 x 10° km and the mean distance of Mercury from the Sun is 57.9 x 10° km. The period of Earth's revolutions is 1 year, what is the period of Mercury's revolution? a. 0.24 year on Earth b. 0.42 year on Earth C. 1.13 year on Earth d. 1.31 year on Earth 9. The planet Delta has 2 times the gravitational field strength and 3 times the radius of Earth. How does the mass of the planet Delta compare with the mass of Earth?3. Mars is 1.53 times as far from the Sun as Earth is. Use Kepler's third faw to predict the time required for Mars to orbit the sun in Earth days.
- 2. An unknown planet was accidentally discovered by NASA. It has a mean distance of 2.15 E11 meters from the sun. Assuming it has a mass of 6.02 E24 kg, how long (in Earth Years) will it take for the said planet to revolve around the sun?1. The average orbital distance of Mars is 1.52 times the average orbital distance of the Earth. Knowing that the Earth orbits the sun in approximately 365 days, use Kepler's law of harmonies to predict the time for Mars to orbit the sun.3. The period of rotation of Mars is 1 day and 37 minutes. Determine its frequency of rotation in Hertz.
- 1. In comet Halley's orbit around the sun, the minimum distance between the comet and the sun in 0.57 A.U. The orbital period is 75.6 years. What is the maximum distance between the comet and the sun?Mars has an orbital radius of 1.523 AU and an orbital period of 687.0 days. What is its average speed v in SI units? (1 AU is the astronomical unit, the mean distance between the Sun and the Earth, which is 1.496×1011 m) a. 0.00221 AU/day b. 3838 m/s c. 0 d. 1.28×10−9 m/s6. A sky-watching friend tells you they've been tracking an Earth satellite in a circular orbit with a period of 1.0 hours. Should you believe them? Justify your answer. (Hint: Find the orbital radius of the satellite.) Answer: No
- 3. The gravitational acceleration at Earth's surface (ga) is about 10 m/s? and ge = GM/R2. What is g, at the surface of a planet with 2X Earth's mass and 3X Earth's radius?010: A new planet (tentatively named "Melmac") is found in a circular orbit with a period of 571 years. The sun has a mass of 1.9891x1030 kg. How far away is the planet in Astronomical Units (AU) ? Note: An A.U. is 1.496x1011 m.The orbit of a planet around the sun is : O A. hyperbolic. O B. parabolic. OC. elliptic. OD. circular.