The planet Mars has two moons, phobos and delmos. (1) phobos has a period 7 hours, 39 minutes and an orbital radius of 9.4 x 10 km . Calculate the mass of mars. (ii) Assume that earth and mars move in circular orbits around the sun. with the martian orbit being 1: 52 times the orbital radius of the earth. What is the length of the martian year in days?
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- No. 4According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is approximately 3.83 x 105 km. The Moon orbits the Earth and completes one revolution relative to the stars in approximately 27.5 days (a sidereal month). Calculate mass of the Earth ME. Give the answer in 1024 kg.Suppose that, while lying on a beach near the equator of a far-off planet watching the sun set over a calm ocean, you start a stopwatch just as the top of the sun disappears. You then stand, elevating your eyes by a height H = 1.59 m, and stop the watch when the top of the sun again disappears. If the elapsed time is t = 10.4 s, what is the radius r of the planet to two significant figures? Notice that duration of a solar day at the far-off planet is the same that is on Earth. (Hint: See Sample Problem 1-4.) Number Units
- There are three large, spherical asteroids in space. These are arranged at the corners of a right triangle ABC.Asteroid A has a mass of 1.0 x 1020 kg. Asteroid B has a mass of 2.0 x 1020 kg and is 50 million kilometers (5.0 x 1010 m) from asteroid A.Asteroid C has a mass of 4.0 x 1020 kg and is 25 million kilometers (2.5 x 1010 m) from asteroid A, along the other side of the triangle.Determine:a) the net force on asteroid A from asteroids B and Cb) the net force on asteroid B from asteroid CGPS (Global Positioning System) satellites orbit at an altitude of 2.7x10^7m. You may want to review (Pages 392-398) Part A Find the orbital period Express your answer using two significant figures. 19 ΑΣφ ? T- h Submit Part B Find the orbital speed of such a satelite. Express your answer using two significant figures. 150 AC ? Submit Request AnswerAstronomical observations of our milky way galaxy indicate that it has a mass of about 8x1011 solar masses. A star orbiting near the galaxy's periphery is 5.6x104 light years from its center. a.) What should be the orbital period (in years) of that star be? b.) If its period is 6.4x107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the center of some galaxies.
- The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 8.773 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.According to Lunar Laser Ranging experiments the average distance L M from the Earth to the Moon is approximately 3.85 × 105 km. The Moon orbits the Earth and completes one revolution in approximately 27.5 days (a sidereal month). Calculate mass of the Eartha) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 e
- In the year 25 000 the Earth is 1.42x101 m away from the sun and in a circular orbit, but a year remains 365 days long. Part A Calculate the mass of the sun in the year 25 000. ΑΣΦ ? msun = kgA planet with mass 9.69x1023 kg orbits a star with mass 9.21x1030 kg. The orbit is circular, and the distance from the planet to the sun is 225x106 km. What is the length of a year on this planet? Give your answer in earth years (1 earth year = 31,557,600 seconds).The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 10.934 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.