Astronomers discover an exoplanet (a planet of a star other than the Sun) that has an orbital period circular orbit around its sun, which is a star with a measured mass of 3.83 x 1030 kg. Find the radiu radius:
Q: Synchronous or "stationary" communications satellites are put into an orbot whose radius is r= 4.86…
A: Given Radius of orbit = R = 4.86*107 m Angular separation = 4.9 degree Acr length ,L = ???
Q: We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the…
A: d = 5.5 *107m T = 3.5 * 105 sec using formula, V = 2πd/T V = 2π*5.5 * 107/3.5*105V = 987.36 m/s
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: The mass of the planet is, m=3×1023 kg. The distance between the planet and the star is, r=6×1010 m.…
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A: The solution for this question has been given below..
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…
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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…
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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…
A: As you have asked only solution of the part (c) so that I have solved only part (c). The answer of…
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Q: An artificial satellite is in a circular orbit 6.50 × 10² km from the surface of a planet of radius…
A: Given data: The distance between satellite and planet is, d= 6.50×102 km=6.50×105 m The radius of…
Q: Suppose an asteroid named Sparty has been discovered revolving around the Sun on a circular orbit…
A: Here, the gravitational force acts as centripetal force So: mv2R=GMmR2i.e.v=GMRAnd also as v=2πRT…
Q: star in the Andromeda galaxy is found to have a planet orbiting it at an average radius of…
A: Given radius(r)=3.38 x 1010 m Orbital period(T)=5.46 x 104 s
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A: Gravitational force between two masses F = Gm₁m₂/r²
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A: A rogue black hole with a mass times the mass of the sun drifts into the solar system on a…
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A: Hey there, since you have asked multiple questions we have solved the first three for you. Please…
Q: Astronomers discover an exoplanet that has an oribital period of 3.77 Earth years in its circular…
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Q: 2. You are on an unknown planet whose mass is 9.2 x 10²kg. It's sun has a mass of 1.4 x 1035 kg,…
A: When you are on a planet and orbiting the Sun, the weight will be equal to the gravitational force.
Q: The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that…
A: Given, Rh = 2GM/c2 a. Gravitational acceleration is given byag=Gmr2dag=2Gmr3drSince, h<<48…
Q: 4. Mars and Earth, at their closest theoretical positions, are 54.6 million km apart. The mass of…
A: Mass of Earth M1=5.97*1024kg, mass of Mars M2=6.39*1023kg, distance b/w Earth and Mars…
Q: Write down an expression for the gravitational filed strength of a planet of radius R and density ρ.
A: GRAVITATIONAL FIELD STRENGTH It is measure of gravitational force placed on an object…
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 x 1011…
A: The time period of an astronomical object revolving around a central mass is given by Kepler's third…
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Q: A planet with mass 9.69x1023 kg orbits a star with mass 9.21x1030 kg. The orbit is circular, and the…
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Q: A star in the shape of a sphere has a uniform density ρ. What is the smallest orbital period of an…
A: Given data The uniform density is given as ρ. The mathematical expression of the centripetal force…
Q: A planet has been discovered orbiting the sun-like star HD 209458. From the period and velocity…
A: Introduction: The radius of the star: R*=8×105 km=8×108 m The mass of Jupiter: MJ=1.898×1027 kg The…
Q: Nothing can escape the event horizon of a black hole, not even light. You can think of the event…
A: To determine Schwarzschild radius for a black hole with a mass 7.5 times the mass of the sun.
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- A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 48,300 ly (light-years) from the galactic center and has a speed of 275 km/s. Estimate the total mass of the galaxy based on the motion of the star. Gravitational constant is 6.674×10−11 m3/(kg·s2) and mass of the Sun Ms=1.99 × 1030 kg. dont provide hand written solutionTwo identical stars with mass M orbit around their center of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle. Part A Find the gravitational force of one star on the other. Express your answer in terms of G, M, R. Πν ΑΣφ ? F = Part B Find the orbital speed of each star. Express your answer in terms of G, M, R. να ΑΣΦ7 ? Part CPlaskett'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 = 240 km/s and the orbital period of each is 12.1 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
- 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 massesa planet moves in a circle around a massive star. If the planet is 7.2X10^10 m from the star, and the planet orbits the star in 67 days (=5.79X10^6 s), what is the mass of the star?A neutron star is an astrophysical object having a mass of roughly 2.8 × 1030 kg (about 1.4 times the mass of the sun) but a radius of only about 12 km. If you were in a circular orbit of radius 320 km (about 200 mi), how long would it take you to go once around the star? It would take about _______ s to go once around the star.
- 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…A satellite m = 500 kg orbits the earth at a distance d = 225km above the of the planetThe radius of the earth r_{e} = 638 * 10 ^ 6 * m and the gravitational constant G = 6.67 * 10 ^ - 11 * N * m ^ 2 / k * g ^ 2 and the Earth's mass m_{e} = 5.98 * 10 ^ 24 * kg What the speed of the satellite in m/sAstronomical 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 5.9 x 104 light years from its center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) What should the orbital period of that star be? yr If its period is 5.8 x 107 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
- The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. (a) One of these stars is believed to be in an approximātely circular orbit with a radius of about 1.50 x 10° AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting. kg (b) What is the speed of this star? V star m/s How does it compare with the speed of the Earth in its orbit? V star VEarth How does it compare with the speed of light? V starPlaskett'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