physics 12

a certain binary star system consists of two stars of masses m and 3m respectively separated by a distance of 1.5 x 10^12 m, measured between their centres. Theres stars revolve in sync with each other around their common centre of mass like a giant dumbbell. If the smaller star has a mass of 1.0 x 10^30 kg, what is their common period of revolution?

  1. 👍 0
  2. 👎 0
  3. 👁 602
  1. In principle, it is easy.
    calculate the distance each star is from the center of mass, that is the radius of rotation for each star.
    Hint: the mass m is 3 parts of separation distance, whilst the 3m star is one part away. So divide the distance by 4, and you know the two radius of roataions. You need this in the centripetal force calculation.

    Forcegravity=centripetal force
    for the small star...
    G3m^2/distance^2=m w^2 (3/4 distance)
    solve for w

    but shouldn't the w for the large star be the same? Lets check..
    G3m^2/distance^2=3m w^2 (1/4 distance)
    hmmm. it is the same angular velocity.

    Oh, period. Convert w (knowing w=2PI/period) to period.

    1. 👍 0
    2. 👎 0
    👨‍🏫
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    The NASA Star Finder charts are constructed based on the visible night sky at 34° N latitude, about as far north of the equator as Los Angeles, California. Will the constellations on the Star Finder chart shift in the sky if you

  2. Science

    A student creates a chart to describe Earth’s solar system in the Milky Way galaxy. Which statement could be included to accurately describe the solar system as part of the galaxy? (1 point) The solar system is comprised of

  3. Statistics

    Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is one star per 16 cubic light years. (a) What is the

  4. science/astronomy

    4. Which of the following is a common feature among the four inner planets? (1 point) atmosphere composition distance from the sun rocky surfaces**** temperature range 5. Which of the following is the smallest terrestrial planet?

  1. science

    The Hertzsprung-Russell diagram below shows how the brightness, surface temperature, and color of stars are related.Which of these observations of Barnard’s Star is most likely accurate? * Captionless Image A Barnard’s Star is

  2. SCIENCE HELP PLEEASE

    Given the following images, choose the one that most likely represents an O-class star. Star A is a yellow star. Star B is a blue star. Star C is a red star. Star D is a green star. A B C D is it b

  3. earth science

    Stellar evolution is the life cycle of a star. A cycle suggests that upon death of a star, another star is born. How is this possible? Stars never really die. The death is a black dwarf star. This type of death triggers the birth

  4. Science!!!

    1. Why can certain stars sometimes be identified as eclipsing binary stars? A. They are brighter than any single star B. They are all white dwarfs C. They become dimmer at regular intervals D. They are cool red stars

  1. science help

    An astronomer sees two stars in the sky. Both stars are equally far from Earth, but the first star is brighter than the second star. Which of the following is a valid conclusion about the first star? It is larger than the second

  2. Science please help :)?

    3. which if the following factors determines how long a star will live ? ( 1point ) A . star’s color b. the star’s mass**** c. the star’s diameter d. the star’s distance from the sun 4 . which of the following causes

  3. Astronomy

    1. What color are stars that are very hot and very bright? A. Red B. Blue C. White D. Yellow 2. During the contraction of a protostar, density increases and ______ rises. A. Nuclear energy B. Dust C. Temperature D. Outflow 3. What

  4. science

    1. Which layer of the sun’s atmosphere are you looking at when you look at an image of the sun? (1 point) photosphere chromosphere corona prominence 2. Which of the following materials could have been found in the giant cloud

You can view more similar questions or ask a new question.