Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v| : = 190 km/s and the orbital period of each is 12.9 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) solar masses XCM M

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Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.7 x 104 light years from its center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) (a) What should the orbital period of that star be? yr (b) If its period is 5.2 x 10 years instead, what is the mass 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 centers of some galaxies. solar masses

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Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is v| = 225 km/s and the orbital period of each is 11.6 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) M XCM M Part 1 of 3 - Conceptualize From the given data, it is difficult to estimate a reasonable answer to this problem without working through the details and actually solving it. A reasonable guess might be that each star has a mass equal to or slightly larger than our Sun because fourteen days is short compared to the periods of all the Sun's planets. Part 2 of 3 - Categorize The only force acting on each star is the central gravitational force of attraction which results in a centripetal acceleration. When we solve Newton's second law, we can find the unknown mass in terms of the variables…

Consider a star of mass M₁ that hosts a planet of mass M₂ on a circular orbit with semi- major axis a. The mass of the planet is related to the orbital velocity of the star by the expression G M₂1 Μια Using Kepler's 3rd law show that this expression can be written as V₁ = 2πG (27²) ¹/3 9 M²P where P is the orbital period of the planet around the star. V₁ = M₂

Answer the question in full details, thank you very much: A star of mass 1.87 x 10^31 kg and diameter 9.44 x 10^9 m rotates with a period of 26.0 days. Suddenly, the star changes size and rotates with a new period of 19.0 days. The mass of the star is conserved. Assuming a uniform (but different) density both before and after the size change, by what fraction doesits [diameter change? In other words, what is (new diameter)/(old diameter)?

The answer is incorrect, would there be another way for figuring this out? Thank you.

Calculate the mass in kilograms of a 2.14 kg object when its velocity, relative to us, is each of the following values. (Notice the progression of these numbers toward the velocity of light, 3.00 × 108 m s-1.) velocity = 2.68 × 108 m s-1 m=______ kg

Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is V = 210 km/s and the orbital period of each is 11.5 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) solar masses M XCM M