Two satellites 'X' and 'Y' are moving in circular orbits of radii (r) and (2r) respectively, around the same planet. What is the ratio of their critical velocities.

Q: A planet of mass m=3.05×10^24 kg orbits a star of mass M=3.85×1029 kg in a circular path. The radius…

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

Q: Three masses, MA = Mg = Mc = M are placed at the vertices of a right triangle ( ill pilE Eilia wg'}…

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Q: This is a proportional reasoning calculation. You will want to set up equations, but mostly to look…

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Q: What is the gravitational acceleration close to the surface of a planet with a mass of 4M and radius…

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Q: The Sun orbits the center of the Milky Way galaxy once each 2.60 × 108 years, with a roughly…

A: Velocity is,

Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011…

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Q: A 1.07 kg mass is at the center of a uniform spherical shell of mass 1.06 * 10 ^ 20 * kg and radius…

A: See below

Q: According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from…

A: The given relationship of Distance(D) and Time(P) is  D = 93P 2/3   For Pluto, the time P = 248…

Q: Newton’s version of Kepler’s third law is: P2 = 4 π2 / [G (M1 + M2)] × a3. The space shuttle orbits…

A: The space shuttle orbits 271 km above the earth

Q: Using canonical units, What is the circular velocity of a satellite orbiting the earth at a radius…

A: In canonical units, the gravitational constant G = 1 and the mass of the Earth is equal to 1.…

Q: Two planets have density in the ratio 2:3 and madii in the ratio 1:2 Then the ratio of acceleration…

A: To find-g1g2=?Given-ρ1ρ2=23, r1r2=12

Q: A space telescope in orbit around the Earth discovers a new planet, which is observed to move around…

A: The distance of the planet from the sun can be measured using the parallax method. For distant…

Q: In the time of Johannes Kepler, it was believed that the orbit of Earth was circular, whereas the…

A: Kepler knew the geometry of ellipses very well, and recognized that this information made it quite…

Q: Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the…

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Q: The orbit of Earth’s moon has a period of 27.3 days and a radius (semi-major axis) of 2.57 ×10-3…

A: Given data: T=27.3 daysr=3.85×105 km Need to determine the  mass of Earth.

Q: An object of mass m is dropped from height h above a planet of mass M and radius R. Find an…

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Q: The equatorial radius of the Earth is 6378 km and gravity at the equator is 9.780 m s-2. Compute the…

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Q: The ratio of the radius of the earth to that of the moon is 10. The ratio of acceleration due to…

A: To find-(Ve)Earth(Ve)MoonGiven-(r)Earth(r)Moon=10(g)Earth(g)Moon=6

Q: The gravitational acceleration constant gx on Planet X can be approximated by determining the…

A: Given data:  The acceleration due to gravity on the planet gx = 3.8 m/s2 Universal gravitational…

Q: At a given instant of time, the position r and velocity v of a satellite in the geocentric…

A: a. calculating distance, r = r·r   =  (-13000)2   = 13000 b. calculating v v = vx2+vy2+vz2     =8.77…

Q: magnitude gravitational force (between a planet with mass 9.00 * 10 ^ 24 and moon, with 2.40 * 10 ^…

A: This problem can be solved using Newton's law of universal gravitation and then using Newton's…

Q: 3.10 An earth-orbiting satellite has a period of 14 h and a perigee radius of 10,000 km. At time t =…

A: The radial position of a satellite in an elliptical orbit is given by, r=a(1−e2)1+ecosθ Here a is…

Q: A rocket moving around the earth at height “H", If the gravitational acceleration "g1" at height "H"…

A: where R is the radius of earth.

Q: Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed…

A: The above problem can be solved using the law of conservation of angular momentum. Using the law of…

Q: A rocket moving around the earth at height “H”, If the gravitational acceleration “g1“ at height “H”…

A: Given:- A rocket moving around the earth at height “H”, If the gravitational acceleration “g1“ at…

Q: b) The Moon orbits the Earth approximately 13 times per year. (You can count this for yourself if…

A: Given that , The moon orbits the earth  approximately 13 times per year. We want to calculate number…

Q: The mean distance of Mars from the Sun is 1.52 times that of Earth from the Sun. From Kepler’s law…

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Q: A space shuttle which moves in a circular orbit around the earth at a height h 150 mi above its…

A: Given : height of the shuttle from the surface of the earth, h=150 mi speed of the shuttle at this…

Q: A new planet Batuu is discovered in our solar system. Observations reveal that the orbital period of…

A: