Problem B) The mass of the Earth is 5.97 × 102ª kg and the mass of the Sun is 1.99 × 1030 kg. The average distance between the Sun and the Earth is 1.5 x 101" m from their centers. Where is the center of mass of the Earth-Sun system located with respect to the center of the Sun? If the radius of the Sun is 6.96 × 10* m, is the center of mass within the Sun or outside the Sun?
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- question CCenter 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?The mass of Venus is 4.87 x 1024 kg, and the mass of Saturn is 5.68 x 1026 kg. The average distance of separation, measured between their centers, is 1.32 x 10° km. (a) Locate the center of mass (in m) of the Venus-Saturn system as measured from the center of Venus. m from Venus's center (b) Is the center of mass of the system located within Venus? (Assume Venus has a radius of 6.05 x 106 m.) Yes No
- Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.49x10¹¹ m apart. The larger of the two stars has a mass of 4.15x10³0 kg, and its center is 2.38x10¹¹ m from the system's center of mass. What is the mass of the smaller star?A binary star consist of two stars of the same mass m revolving in a circle of radius R about their common centre of mass. Suppose that a meteorite passes through the centre of mass of the binary star in a direction perpendicular to the orbital plane. What is the minimum speed that the meteorite must have at the centre of mass in order for it to escape from the gravitational attraction of the binary star? ANSW: 4Gm R wA meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.
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