Physics

posted by .

A binary star system consists of two equal mass stars that revolve in circular orbits about their center of mass. The period of the motion, T=29.6 days, and the orbital speed v= 220 km/s of the stars can be measured from telescopic observations. What is the mass (kg) of each star?

  • Physics -

    Each has a force holding it to the other.

    F=GM^2/d^2

    this is equal to centripetal acceleration.

    GM^2/d^2=v^2/(d/2)^2

    check my thinking. solve for M

  • Physics -

    Using Newton's law and the law of universal graviation:

    F=ma
    Acceleration is centripital acceleration, so a=(v^2)/r

    so G(m^2/r^2)=m(v^2/r)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Hunting a black hole. Observations of the light from a certain star indicate that it is part of a binary (two-star) system. This visible star has orbital speed v = 270 km/s, orbital period T = 1.6 days, and approximate mass m1 = 6.0Ms, …
  2. Physics!

    The two stars in a certain binary star system move in circular orbits. The first star, Alpha, has an orbital speed of 36 km/s. The second star, Beta, has an orbital speed of 12 km/s. The orbital period is 137 d. a) What is the mass …
  3. Physics

    Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 1011 m apart. The larger of the two stars has a mass of 3.50 1030 kg, and its center is 3.00 1011 m from the system's center of mass. …
  4. Physics

    Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 1011 m apart. The larger of the two stars has a mass of 3.50 1030 kg, and its center is 3.00 1011 m from the system's center of mass. …
  5. Physics

    Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 x 10^11 m apart. The larger of the two stars has a mass of 3.50 x 10^30 kg, and its center is 3.00 x 10^11 m from the system's center …
  6. Physics

    Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.40 1011 m apart. The larger of the two stars has a mass of 3.40 1030 kg, and its center is 2.50 1011 m from the system's center of mass. …
  7. 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 …
  8. Physics Classical Mechanics

    Consider a double star system under the influence of the gravitational force between the stars. Star 1 has mass m1 = 2.32 × 10^31 kg and Star 2 has mass m2 = 1.76 × 10^31 kg. Assume that each star undergoes uniform circular motion …
  9. science

    Consider a double star system under the influence of the gravitational force between the stars. Star 1 has mass m1 = 1.72 × 1031 kg and Star 2 has mass m2 = 1.60 × 1031 kg. Assume that each star undergoes uniform circular motion …
  10. physics

    Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.78x1011 m apart. The larger of the two stars has a mass of 4.19x1030 kg, and its center is 1.75x1011 m from the system's center of mass. …

More Similar Questions