mass of the black hole? The mass of the sun is M, = 1.99 x 1050 kg. (Give your answer in terms of the solar mass.) 0.0644

A planet of mass m= 8.45 x 1024 kg is orbiting in a circular path a star of mass M= 6.95 x 1029 kg. The radius of the orbit is R= 3.15 x 107km. What is the orbital pperiod (in Earth days) of the planet Pplanet? Express your answer to three significant figures.  Pplanet =   ? days

A planet with mass 9.69x1023 kg orbits a star with mass 9.21x1030 kg. The orbit is circular, and the distance from the planet to the sun is 225x106 km. What is the length of a year on this planet? Give your answer in earth years (1 earth year = 31,557,600 seconds).

An African elephant is walking along when a mini-black hole suddenly appears directly above him. The mass of the black hole is so great that its gravity is able to lift the elephant from the Earth. How close must the mini-black hole be to the elephant's center of mass in order to just overcome the downward pull of Earth's gravity? (Treat the mass of the elephant as if it's concentrated at the elephant's center. Mass of Earth ME = 6.97 x 1024 kg Mass of mini-black hole MBH = 4.17 x 1012 kg Radius of Earth RE = 6.40 x 106 meters Mass of elephant (not needed) mini black hole •

Write down the radius of the orbit of a satellite moving around the Earth if its height above the surface is h and the radius of the Earth is R. Please use appropriate algebraic symbols for multiplication (* for a × b), division (/ for a/b), exponents (a^b for a³), square root (sqrt(a*b/c) for axb/c) etc. Click the "display response" button to check your answer before submitting the question. Rs= Display response

A man is standing on the moon. His mass is 100 kg. The mass of the moon is 7x10^22 kg. The radius is 3.8x10^5 km. How much is the gravitational force between the man and the moon?

Sam is an astronomer on planet Hua, which orbits the distant star Barnard. It has recently been accepted that Hua is spherical in shape, although its exact size is unknown. While studying in the library, in the city of Joy, Sam learns that during equinox, Barnard is directly overhead in the city of Bar, located 1500.0 km north of his location. On the equinox, Sam goes outside and measures the altitude of Barnard at 83 degrees. What is the radius of Hua in km?

B4

Use ME = gRE2>G to calculate the mass of the Earth.

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