Show that critical velocity of a body revolving very close to the surface of a planet of radius 'R' and mean density 'p' is 2 R πρG 3
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A: Given, Semi major axis of elliptical orbit is, a = 8000 km eccentricity of orbit is, e=0.15…
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Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Jupiter= 1.898 ⨉ 10 27kg, then, from Kepler’s third law in #4,…
A: G = 6.674 x 10-11 m3/kg/s2 Mass of jupiter, M = 1.898 x 107 kg Ignore the mass(m) of moon
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A: Consider planet of mass M, radius R and density ρ Velocity of the body from the surface of a…
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A: NOTE: According to bartleby answering guidelines, I am answering first three parts of asked…
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A: Let, A = the area swept by planet ,while moving in a circular orbit. T= Time period of the…
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A: The gravitational field g for the planet 1 is calculated as, g=GMR2 Here, M is the mass of the…
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A: The mass of the Earth is M=5.97×1024 kg. The average radius of the Earth is R=6371 km. The volume…
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Q: M XCM M A binary system is shown by the image above. It consists of two stars of equal mass. These…
A: This problem can be solved using the concept of reduced mass.
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A: Ration of average densities of pp/pe = 1/4.26 pp: pe = 1 : 4.26
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Q: ) Calculate Jupiter's mass given the acceleration due to gravity at the north pole is 28.328 m/s2…
A: Acceleration due to gravity=28.328m Radius of Jupiter =66850km =66850000m Value of gravitational…
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Q: 8. A spherically symmetric gravitational system of particles has a mass density SPoforrR where Po is…
A: Given,ρ=ρ0 for r≤R0 for r>Rfor r≥RLet mass of the system M=ρ0VM=ρ043πR2test…
Q: Q. 33 If (p) is the mean density of the earth and (R) is its radius, then critical speed of…
A: To find-VC=?Given-Mean density of earth=δRadius=Rh=0 (since satellite is revolving close to surface)
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Q: 3. A satellite is being injected into Earth orbit at radial distance ro = 7500 km, 8.784 km/s.…
A: Given: Earth orbit's radial distance from earth is 7500 km Velocity is 8.784 Km/sec Radius of…
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Q: In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting in circular path…
A: r=Radius of orbit=6.4×109 kmT=Orbital time period=3.09 daysG=Gravitational constant=6.674×10−11…
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Q: Determine the minimum velocity(m/s) necessary to orbit freely about a planet or moon at an altitude…
A: The minimum velocity required to orbit freely is,
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Q: Show that critical velocity of a body revolving very close to the surface of a planet of radius 'R'…
A: To show that-VC=2RπρG3Given-Critical velocity of body orbiting in a circular orbit close to planet…
Q: Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 44.4 km/s, and v,…
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Q: (a) Show that tidal force on a small object of mass m, defined as the difference in the…
A: (a) The tidal force be defined as, Ftidal=GMmR-r2-GMmR+r2=GMm1R-r2-1R+r2=GMm4RrR2-r22
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