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In a particular double-star system, two star of mass 3.22 x 1030kg 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?

Hrishant Goswami , 9 Years ago
Grade 10
anser 1 Answers
Jitender Pal

Last Activity: 9 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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