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

question C

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?

9 pl

Problem B) The mass of the Earth is 5.97 x 1024 kg and the mass of the Sun is 1.99 x 1030 kg. The average distance between the Sun and the Earth is 1.5 x 1011 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 x 108 m, is the center of mass within the Sun or outside the Sun?

A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G, ME, and r.) a) Determine an expression that will allow you to find the speed of the satellite. b)The satellite splits into two fragments, with masses m and 4m. The fragment with mass m is initially at rest with respect to the Earth, then falls straight towards the Earth. The fragment with mass 4m moves with initial speed vi. Find an expression for vi. c)Because of the increase in its speed, this larger fragment now moves in an elliptical orbit. Find an expression for the fragment's distance away from the center of the Earth when it reaches the far end of the ellipse.

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What is the linear momentum of a 74.0 kg object on the Equator, as measured from the center of Earth? The radius R of Earth is 6371 km.

e A spaceship of mass m travels from the Earthto the Moon along a line that passes through the center of theEarth and the center of the Moon. (a) At what distance from thecenter of the Earth is the force due to the Earth twice the magnitude of the force due to the Moon? (b) How does your answer topart (a) depend on the mass of the spaceship? Explain

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