Given that a pair of stars are found to be orbiting each other with a period of 11.86 [yrs] and a separation of 5.2 [AU], what is the binary star system's total mass (i.e.- M1+M2) expressed in units of our Sun's mass? a) 61.7 b) 39.5 c) .0162 d) 1 e) 1.0 x 10^30
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- 3. At a particular instant in time, a small star of mass m is directly in between two large stars, both with mass M, as shown The small star is a distance r from the nearer big star and a distance 3r from the further big star. There are no other masses around. What is the magnitude of the net force on the small star m? M M 3r 8 GMm D) GMm GMm В) GMm 4 A) 3 r? C) E) None of these N|3What makes us think that the star system Cygnus X-1 contains a black hole? A, It emits X rays characteristic of an accretion disk, but the unseen star in the system is too massive to be a neutron star. B. No light is emitted from this star system, so it must contain a black hole. C. The fact that we see strong X-ray emission tells us that the system must contain a black hole. D.Cygnus X-1 is a powerful X-ray burster, so it must contain a black hole.5. We observe an increase in brightness of a star that is 5.81×10¹⁹ m away. How long ago did the actual increase in brightness take place, in years? Find the time that is required for light to reach the Earth.
- 5. A planet of mass m is located on a line equidistant from two identical stars of mass M, located at I = +d, as shown. a) Obtain the equation of motion of the planet. b) Describe the motion (in words). M MWhile working with part of a research team you discover a set of exoplanets in a nearby star system. One of the planets is much closer to its mother star than the other and because of this you are able to determine the average radius of the closer planets orbit to be 37.26 x 10 to the 6 kilometers the Planet complete one orbit every 53.4 days. a) what is the mass of the star in this system?Solve the following problem: Two stars, named A and B, each with a mass equal to the Sun's mass are in orbit around each other. If the distance between the two stars is 1.0 AU. What is the period of their orbit? Describe each step in solving the problem:
- I attempted to answer this question and I'm not sure what I am doing wrong. My formula says A.S. = 206265 (separation/distance from observer) I know to convert to the same units, so I ended up with 80 Million Km being 8 x 10 ^ -6 LY Could you please explain each step especially for the part that I got wrong for both A and B?You measure a star to have a parallax angle of 0.12 arc-seconds What is the distance to this star in parsecs? 8.33 Hint: d = 1/p What is the parallax angle of a different star that is twice as far away as the star from the previous problems? [answer in arc-seconds without including the unit]1.) How far, in parsecs, is an object that has a parallax of 1 arc second? How far is it, in light years? 2.) How far in parsecs, is an object that has a parallax of 0.1 arc-seconds? How far is it, in light years?
- = 2000 K and a radius of R, A young recently formed planet has a surface temperature T Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and 2 determine the ratio of the planet's luminosity to that of the Sun.Use Kepler’s 3rd Law to calculate the mass of a star which has a planet orbiting at 2.35 A.U. and takes 4.56 Earth years to complete one full orbit.T2 6.) On planet LV-426, it is observed that a person's weight is the same as it is on Earth, but the planet has a radius half that of Earth. Which of the following must be true? Explain your answer. a.) The mass of LV-426 is 1/4 that of Earth. b.) The mass of Earth is 1/4 that of LV-426. c.) A rock dropped from 10m would hit the ground faster on Earth. d.) A rock dropped from10mwould hit the ground faster on LV-426.