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- 7 بی A Z Part A 2 At what distance from the center of Earth is the center of mass of the Earth-Moon system? Suppose that the mass of the Moon is 7.35 × 1022 kg. Express your answer with the appropriate units. Icm = Submit Provide Feedback 55F Haze @ 2 S alt | A 3 Value WE x Request Answer 3 4 D Units لم R % F العال الالال 5 ? ا O Search G 6 B & H * N 8 ( ا ه M ن) ما تا1. The mass of Saturn is 5.68 ✕ 1026 kg, and the mass of Uranus is 8.68 ✕ 1025 kg. The average distance of separation, measured between their centers, is 1.44 ✕ 109 km. (a) Locate the center of mass (in m) of the Saturn-Uranus system as measured from the center of Saturn. m from Saturn's center16. Determine how far the center of mass of the Earth-moon system is from the center of Earth. Compare this distance to the radius of Earth, and comment on the result. Ignore the other objects in the solar system. (m. = 5.94×10²ªkg; mm = 7.36x10*kg; distance between earth and moon = 3.82x10°m; R. = 6.37×10ʻm).
- Gravity 1. ) Two spheresAandBdeep in space are separated by d1 = 9 m, and have masses mA=1020 kg and mB=280 kg. A third sphere C, with mass mC=450 kg is located d2=7.50 m below the centre-of-mass of spheres A and B(ABcm). All distances are measured from the centre-of-mass of each sphere. (a) Compute the centre-of-mass position for A and B(ABcm), using A as the origin.Selected astronomical data for Jupiter's moon Thebe is given in the table. Moon Orbital Radius (km) Orbital Period (days) Thebe 2.20 x 105 0.67 From these data, calculate the mass of Jupiter (in kg). kg28. The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force FsM that the sun exerts on the moon is per- pendicular to the force FEM that the earth exerts on the moon. The masses are: mass of sun = 1.99 × 10º kg, mass of earth = 5.98 × 10²4 kg, mass of moon = 7.35 × 10² kg. The distances shown in the drawing are rSM = 1.50 x 10" m and reM = 3.85 × 10º m. Determine the magnitude of the net gravitational force on the moon. "SM Moon FSM Sun FEM 'EM Earth
- The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?Selected astronomical data for Jupiter's moon Io is given in the table. Мoon Orbital Radius (km) Orbital Period (days) Io 4.20 x 105 1.77 From these data, calculate the mass of Jupiter (in kg). kgThe radius of earth is approximately 4000 miles. An. object on earth weighs 242 N. At what approximate distance (in miles) from the center of earth would this object's weight be 2 N?
- The radius Rhand mass Mh of a black hole are related by Rh = 2GMh/c2, where c is the speed of light. Assume that the gravitational acceleration agof an object at a distance ro= 1.001Rh from the center of a black hole is given by ag = G M / r2 (it is, for large black holes). (a) What is ag at rofor a very large black hole whose mass is 1.69 × 1015 times the solar mass of 1.99 × 1030 kg?(b) If an astronaut with a height of 1.73 m is at rowith her feet toward this black hole, what is the difference in gravitational acceleration between her head and her feet ahead-afeet?An 77.0 kgkg spacewalking astronaut pushes off a 650 kgkg satellite, exerting a 120 NN force for the 0.510 ss it takes him to straighten his arms. How far apart are the astronaut and the satellite 1.50 minmin after the push begins?Two planets P₁ and P₂ orbit around a star S in circular orbits with speeds v₁ = 43.4 km/s, and v₂ = 57.0 km/s respectively. If the period of the first planet P₁ is 790 years what is the mass, in kg, of the star it orbits around? kg Determine the orbital period, in years, of P2. yr