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In a particular double-star system, two star of mass 3.22 x 10 30 kg each revolve about their common center of mass, 1.12 x 10 11 m away. (a) calculate their common period of revolution, in years, (See Exercise 32.) (b) Suppose that a meteoroid (small solid particle in space) passes through this center of mass moving at right angles to the orbital plane of the star. What must its speed be if it is to escape from the gravitational field of the double star?

In a particular double-star system, two star of mass 3.22 x 1030  kg each revolve about their common center of mass, 1.12 x 1011 m away. (a) calculate their common period of revolution, in years, (See Exercise 32.) (b) Suppose that a meteoroid (small solid particle in space) passes through this center of mass moving at right angles to the orbital plane of the star. What must its speed be if it is to escape from the gravitational field of the double star?

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
6 years ago
(a)

To obtain the rotational period of the stars, substitute 1.12 × 1011 m for r, 6.67 × 10-11 N-m2 / kg2 for G and 3.22 ×1030 kg for m in the above equation.

235-1154_im6.JPG
(b)
To obtain gravitational potential energy per kilogram, substitute 1.12 × 1011 m for r, 6.67 × 10-11 N – m2 for G and 3.22 × 1030 kg for m in the above equation.
235-174_im7.JPG

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