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?

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 w

A 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.

Please do part b

White dwarf stars are produced by the collapse of regular stars, such as our sun, toward the end of their normal life. Suppose a star initially has the same mass as our sun and the same radius as that of the sun. Suppose further that it collapses into a white dwarf with a radius of 5000km. If the initial period of the star is the same 27 day period of our sun, what is the resulting period of the white dwarf?

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?

A distant exo-planet has a mass that is 100 times bigger than the Earth's, and orbits at a distance 2 times as far from its star as the Earth does from our Sun. The star has the same mass as our Sun. What is the velocity of the star about the center of mass of the exo-planet/star system? Mass of Earth = 6.0 x 1024 kg. Distance of Earth from Sun = 150 x 109 m. Mass of Sun = 2.0 x 1030 kg.

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.96x10¹¹ m apart. The larger of the two stars has a mass of 4.46x10³0 kg, and its center is 1.86x10¹¹ m from the system's center of mass. What is the mass of the smaller star?

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.91x1011 m apart. The larger of the two stars has a mass of 4.17x1030 kg, and its center is 2.22x1011 m from the system's center of mass. What is the mass of the smaller star?