A few years ago, an X-ray telescope detected a source called Cygnus X-3, whose intensity changed with a period of 4.8 hours. This type of astronomical object emitting periodic signals could be a binary X-ray source, which is a star that is in orbit around a much more massive black hole. The period of the X-ray signal is then the period of the star’s orbit. If the distance between the centers of the star and the black hole is one-fiftieth of the distance between the centers of the Earth and our Sun, then determine how many times more massive the black hole is than our Sun. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Explanation:

The star is revolving the black hole like earth revolves around the sun .so time period of rotation  T is given by the following relation

T² = , R is distance between black hole and star , M is mass of black hole

Given T = 4.8 hours

4.8² =  

Using the same equation for earth sun system

24² =    , Ms is mass of the sun and 50R is distance between the sun and the earth .

Dividing the equation

=

= 2x 10⁻⁴

total distance travelled = 60 miles

total time taken =1.5 hours

average speed = total distance / total time

60 / 1.5

= 40

therefore, average speed = 40 m/h

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the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.