Two stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that has its center at the midpoint of the line that separates them. If M1 = M2 = 8.20 sm (solar mass), and the orbital period of each star is 2.70 days, find their orbital speed. (The mass of the sun is 1.99 10^30 kg.) km/s.

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A: The expression to determine the orbital period of the planet is, T2=4π2MGR3

Q: In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these…

A: Given 1 astronomical unit = (1 Au) Time                        = 600 days at a distance of 1.4 Au

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A:

Q: How do I use the mass (g) to determine what each cylinder is?

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Q: Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of…

A: The expression to solve for the velocity of the star is as follows: v=2πRTR=vT2π…

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A: Given: The height (h) of the orbit of the international space station from the earth is 270 miles.…

Q: a. Consider two planets orbiting a distant star. Planet A is further from the star. A is orbiting at…

A: a) We use the formula T=2πRv⇒R=Tv2π=12.45·365·24·60·60 sec·14625 m/sec2π=9.13885875×1011m

Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011…

A: Given that, Mass of the milky way galaxy, M=8×1011 Ms (Ms is the mass of Sun) M=8×1011×1.989 ×1030…

Q: A planet of mass 5.8 x 1024 kg orbits a star of mass 1.6 x 1030 kg in a circular orbit 10 x 1011 m…

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Q: It is believed that there is a black hole with a mass of approximately four million times the mass…

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Q: A two-star system spins in a circular path around the center of mass in the middle of the distance…

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Q: Calculate the acceleration of gravity on the surface of the Sun. The mass of the Sun is MSun = 1.99…

A: Acceleration due to gravity is the acceleration of an object falling freely under the attraction of…

Q: 19. A space probe is flying by Jupiter (M = 1.9 x 1027 kg) at a distance of 400,000 km from the…

A: Given data:  Mass (M) = 1.9×1027 kg Altitude (h) = 400000 km = 4.00×108 m Radius (R) = 7.15×107 m…

Q: Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of…

A:

Q: Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and…

A: As gravitational force is equal to the centripetal force, The angular speed is given by, The time…

Q: A planet with a mass of 7.5 × 1025 kg moves around a 9.5 × 1031 kg star in a perfectly  circular…

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Q: A satellite of mass 175 kg is launched from a site on Earth's equator into an orbit at 180 km above…

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Q: A planet has a mass of 5.98 x 10²4 kg. It has an average orbital speed of 2.978 x 104 m/s as it…

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Q: A planet of mass ?=7.75×1024 kg orbits a star of mass ?=1.35×1029 kg in a circular path. The radius…

A: mass of planet = 7.75×1024 kg mass of star = 1.35×1029 kg radius of orbit = 6.15×010 m

Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…

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Q: Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of…

A: v = 200 kmsT = 11.5 days Let the radius of orbital path followed = R

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Q: The diagram represents a space station shaped like a wheel and having a radius of 40. meters. The…

A: Using the Newton’s law

Q: A star orbits a black hole in a circular orbit at a distance of 3.9x1012 meters and a period of 4…

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Q: NOTE: Your answer suggests that you have assumed constant gravitational

A: Explained as, F=-GMMR+y2

Q: Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the…

A:

Q: The speed of light is 3 × 108m/s. The Sun has a mass of 2 × 1030kg. a). If all of the Sun’s mass…

A: a) For an object orbiting around Sun with orbital velocity c:   Centripetal force =mc2Rwhere m is…

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Q: When a planet of mass m=3,30x1023 kg is at a distance R=5,80x1010 m from the Sun, it is moving with…

A: planet of mass m=3.30x1023 kg,  distance from the Sun r=5.80x1010 m  moving with speed  u=4.80x104…

Q: The Earth’s orbit around the Sun is slightly elliptical. At Earth's closest approach to the Sun…

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Q: If you weigh 685 N on the earth, what would be your weight on the surface of a neutron star that has…

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Q: One way astrophysicists have identifi ed “extrasolar” planets orbiting distant stars is by observing…

A: Part (a) Given: The mass of star is ms=1.99×1030 kg. The mass of planet is mp=1.90×1027 kg. The…

Q: A meteoroid is heading directly to the Earth. The speed of the meteoroid is 2000 m/sec when it is at…

A: Given Data:  Speed of Meteoroid Sm=2000 msec Distance between Meteoroid and Earth is (d)=3.84×108 m…

Q: A meteoroid is traveling with a velocity of 10.0 km/s directly toward the Earth when it is located 5…

A: We will use conservation of mechanical energy to solve this.

Q: Plaskett's binary system consists of two stars that revolve In a circular orbit about a center of…

A: Given : |v| = 240 km/s = 240 × 103 m/s T = 12.5 days = 1.08 × 106 seconds Msun = 1.99 × 1030 kg

Q: Gravitational constant

A: To estimate the total mass of the galaxy based on the motion of the star, we can use the following…

Q: A satellite rotates around the earth with uniform circular motion at a radius of 6400 km. and a…

A:

Q: A satellite is placed in orbit 6.00×10^5 m above the surface of the planet Jupiter. Jupiter has a…

A: mass, M = 1.9 x 1027 kg  radius, R = 7.14 x 107 m  height, h = 6 x 105 m

Q: The International Space Station is in a 210-mile-high orbit. What is the station's orbital speed?…

A: When a body revolves around a heavier object in an orbit then it experiences a gravitational force…

Q: For an earth-orbiting satellite, the orbital elements are: h= 79,000km2/s, e= 0.6, N = 50°, i =…

A:

Q: Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of…

A: Given : Masses of both stars are equal            Orbital speed of each star |v|→ = 240 km/s…

Q: 4x G(M1+Ma) Solve this equation to find the combined mass of a planet and its satellite, given the…

A:

Q: Applying Newton's second law, f = ma yields F = ma. for each star. Mv2 (2r)2 GMM Solving for the…

A: Since, You have only asked bout the calculation part M=2v3TπG Here, "v" is the velocity that is…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.