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The Earth has mass ME and average radius RE. The Moon has mass MM and the average distance from the center of mass of the moon to the center of mass of the Earth is DM. For this problem use the following constants.Mass of the Earth: 5.97E24 kgMass of the Moon: 7.35E22 kgRadius of the Earth: 6,371 km Calculate for the distance DS in meters that the Moon would have to be from the Earth so that the Moon’s moment of inertia IM about the Earth is equal to the moment of inertia IE of the Earth on its axis.

a. A binary system consists of star A with mass of 3.8 x 100 Kg and star B with mass of 3.2 x 1030 kg. Their centres are separated by 9.8 AU (1.5 x 10¹1m) Calculate how far the centre of mass of the system is from star A. b. What is the reduced mass of such system in part a? c. A point has coordinates (x,y,z) in cartesian coordinate system, use spherical coordinates as generalized coordinates to calculate dy d. Positions of two planets are given as (-4.00, 2.94,-0.10) AU and (6.41, 6.54,-0.37) AU. Find the distance between them? Attach File Browse Local Files Browse Content Collection

Center of Mass. c) The mass of the Sun is 2x1030 kg. The distance between the Earth and the Sun is 1.5x108 km. How does the distance between the CM of this system compare to the Sun’s radius of 700,000 km?

Center of Mass. b)The mass of the Earth is 6x1024 kg and the mass of the Moon is 7.4x1022kg. The distance between their centers is 380,000 km. How does the distance between the CM of the system to the center of the Earth compare to the Earth’s radius of 6,400km?

The rings of the planet Saturn consist of particles of rock and ice which orbit the = 5.7 × 104ºkg. Suppose a particle has a planet. The mass of Saturn is MSat mass 2,806 kg, and is orbiting at a distance of 2,442 km from the surface of Saturn. The radius of Saturn is ľsat G = 6.67 × 10-1'm². kg¬1.s-2 60, 300 km and Calculate the magnitude of the gravitational attract between the particle and Saturn to 2 sf. Your Answer: Answer

The center of a moon of mass m = 8 × 1023 kg is a distance D = 97 × 105 km from the center of a planet of mass M = 10.9 × 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.   a. Derive an expression for x.  b.  Calculate x in kilometers, given the variables in the beginning of the problem.

Use the definition of center of mass to answer the following questions: (a) The distance between the Earth and the Moon (center to center) is approximately 239,000 miles. How far is the center of mass of the Earth/Moon system from the center of the Earth? The mass of the Earth is 5.97 x 1024 kg and the mass of the Moon is 7.35 x 1022 kg. (b) The average distance between the Earth and the Sun (center to center) is approximately 93 million miles. How far is the center of mass of the Earth/Sun system from the center of the Sun? The mass of the Earth is 5.97 x 1024 kg and the mass of the Sun is 1.99 x 1030 kg.

The sun is 333000 times as massive as earth, and they are a distance r apart. At what distance x from earth should an abject, half as massive as earth, be placed so it experiences zero gravitational pull due to the sun and earth? A. x= 1/2r B. x= 1/333000r C. x= 1/578r D. x= 1/3r E. x= 1/381r

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