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- Much of the mass of our Milky Way galaxy is concentrated in a central sphere of radius r = 2 kpc, where pc is the abbreviation for the unit parsec; 1 pc = 3.26 ly. Assume the Sun is in a circular orbit of radius r = 8.0 kpc around the central sphere of the Milky Way. The Suns orbital speed is approximately 220 km/s; assume the central sphere is at rest. a. Estimate the mass in the inner Milky Way. Report your answer in kilograms and in solar masses. b. What is the escape speed of the Milky Way? c. CHECK and THINK: Do you believe that stars in the Milky Way have been observed to have speeds of 500 km/s? Explain.A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. a. One of these stars is believed to be in an approximately circular orbit with a radius of about 1.50 103 AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting, b. What is the speed of this star, and how does it compare with the speed of the Earth in its orbit? How does it compare with the speed of light?When Sedna was discovered in 2003, it was the most distant object known to orbit the Sun. Currently, it is moving toward the inner solar system. Its period is 10,500 years. Its perihelion distance is 75 AU. a. What is its semimajor axis in astronomical units? b. What is its aphelion distance?
- The nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away from Earth. Given that the Milky Way galaxy (Fig. P1.81) is roughly a disk of diameter 1021 m and thickness 1019 m, estimate the number of neutron stars in the Milky Way to the nearest order of magnitude. Figure P1.81Astronomical 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 mass of a new discovered planet is 6.39 × 10^23kg. If the weight of a spaceship from earth that landed on this new discovered planet weighs 3000 N on this planet and weighs 7,930.477 N on earth, what is the radius of this planet (the center of gravity of the spaceship is not to be considered).a. R = 4.6532 kmb. R = 6.5634 kmc. R = 3.3897 kmd. R = 8.5443 km
- Two planets orbit a star in circular orbits, as shown. The mass of the star is 8 * 101 kg. The mass of planet 1 is 8 * 10ª kg. The orbital radius of planet 2 is 2 x 1o1ºm. When the planets are in the configuration shown F=(-9.34 * 1024 i + 1.28 * 1027 j) N. X- a. What is the orbital radius of planet 1? b. What is the mass of planet 2? c. What is the orbital period of planet 2?a. Find the acceleration due to gravity at the surface of a neutron star of mass 1.5 solar masses and having a radius of R = 10.0 km. b. Find the weight of a 0.120-kg baseball on the surface of this star. c. Assume the equation U = mgh applies, and calculate the energy that a 70.0-kg person would expend climbing a 1.00-cm-tall mountain on the neutron star. d. Find the speed needed by a small satellite to maintain a circular orbit with a radius of 2R around the neutron star.Centauri A and Centauri B are binary stars with a separation of 3.45 x 10¹2 m and an orbital period of 2.52 × 10⁰ s. Part A Assuming the two stars are equally massive (which is approximately the case), determine their speed. V= IVE ΑΣΦ www ? km/s
- Can you please help w/ the question in the pic? This is the data I have so far: 1. Determine the mass M of the massive object at the center of the Milky Way galaxy. Take the distance of one light year to be 9.461x10^15: answer= 4.26*10^37 2.Express your answer in solar masses instead of kilograms, where one solar mass is equal to the mass of the sun, which is 1.99*10^30: answer=2.14*10^7 TIAThe Small Magellanic Cloud is a dwarf galay orbiting the Milky Way at a distance of 50 kiloparsecs from its center, on a circular orbit. It is moving at a velocity. rolative to the Milky Way, of 207 km/s. What is the mass of the Milky Way, in units of solar masses, inside the Cloud's orbit? B !! 245 If'a quasar emits 10^(10) times the Sun's luminosity, converting 10% of the mass of the material it eats into radiation, how many stars (ach of the Sun's mans) must it consume per year?The rings of the planet Saturn consist of particles of rock and ice which orbit the = 5.7 × 104ºkg. Suppose a particle has a planet. The mass of Saturn is MSat mass 2,806 kg, and is orbiting at a distance of 2,442 km from the surface of Saturn. The radius of Saturn is ľsat G = 6.67 × 10-1'm². kg¬1.s-2 60, 300 km and Calculate the magnitude of the gravitational attract between the particle and Saturn to 2 sf. Your Answer: Answer