Astronomers have observed a small, massive object at the centerof our Milky Way galaxy. A ring of material orbits this massiveobject; the ring has a diameter of about 15 light years and anorbital speed of about 200 km/s.
A) Determine the mass of the massive object at the center of theMilky Way galaxy.
Take the distance of one light year to be 9.461Ã1015m. Iwas able to get this it is 4.26Ã1037kg.
B) Express your answer in solar masses instead of kilograms, whereone solar mass is equal to the mass of the sun, which is1.99Ã1030. I got this to it is 2.14Ã107 solarmasses
C)Observations of stars, as well as theories of the structure ofstars, suggest that it is impossible for a single star to have amass of more than about 50 solar masses. Can this massive object bea single, ordinary star? I got this it is no.
D) Many astronomers believe that the massive object at the centerof the Milky Way galaxy is a black hole. If so, what is itsSchwarzschild radius? Express your answer in meters.
E)Would a black hole of this size fit inside the earth's orbitaround the sun? The mean distance from the sun to the earth is1.5Ã1011m.
Please solve part D and E. For part D please show equations andsolve all the way through. I worked it twice and I am getting myanswer wrong. I am afraid I am making a silly mistake.
Astronomers have observed a small, massive object at the centerof our Milky Way galaxy. A ring of material orbits this massiveobject; the ring has a diameter of about 15 light years and anorbital speed of about 200 km/s.
A) Determine the mass of the massive object at the center of theMilky Way galaxy.
Take the distance of one light year to be 9.461Ã1015m. Iwas able to get this it is 4.26Ã1037kg.
B) Express your answer in solar masses instead of kilograms, whereone solar mass is equal to the mass of the sun, which is1.99Ã1030. I got this to it is 2.14Ã107 solarmasses
C)Observations of stars, as well as theories of the structure ofstars, suggest that it is impossible for a single star to have amass of more than about 50 solar masses. Can this massive object bea single, ordinary star? I got this it is no.
D) Many astronomers believe that the massive object at the centerof the Milky Way galaxy is a black hole. If so, what is itsSchwarzschild radius? Express your answer in meters.
E)Would a black hole of this size fit inside the earth's orbitaround the sun? The mean distance from the sun to the earth is1.5Ã1011m.
Please solve part D and E. For part D please show equations andsolve all the way through. I worked it twice and I am getting myanswer wrong. I am afraid I am making a silly mistake.
