Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 1011 solar masses. A star orbiting near the galaxy's periphery is 5.6 104 light years from its center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) (a) What should the orbital period of that star be? _________yr (b) If its period is 6.0x107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. _________ Solar Masses

Q: What multiple of the energy needed to escape from Earth gives the energy needed to escape from (a)…

A: Solution           Energy needed to  escape a planet of radius R, and     mass M is given as…

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A: The gravitational force between the two stars is, F=GMmr2

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Q: The Andromeda Galaxy has a mass of around 4 x 10* 42 kg and is 2.4 x 10*22 m away. What is your…

A: Given data: Mass of galaxy (M) = 4×1042 kg Distance from centre of mass (r) = 2.4×1022 m

Q: Taking the age of Earth to be about 4×1094×109 years and assuming its orbital radius of 1.5×1011…

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A: Given:  Orbital speed of the stars = 250 km/sec = 250,000 m/s Period of the star = 14.4 days Suppose…

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Q: Convert 9.021 x 1048 kg to Jupiter Masses (MJ). The mass of Jupiter is known as MJ = 1.898×1027 kg.…

A: Given mass M = 9.021 x 1048 kg also 1 MJ = 1.898×1027 kg.

Q: Convert 1.39 x 10^9 kilograms to Jupiter Masses, MJ. The mass of Jupiter is known as MJ = 1.898×1027…

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A: Given, Radius of orbit is 3.7*1020 meter and velocity is 400,000 m/s

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A: ANSWER               E) 4.07×10^24kg

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Q: What multiple of the energy needed to escape from Earth gives the energy needed to escape from (a)…

A: mass of earth = 5.98×1024 kg Mass of moon = 7.36×1022 kg mass of Jupiter = 1.90×1027 kgRadius of…

Q: 4. Mars and Earth, at their closest theoretical positions, are 54.6 million km apart. The mass of…

A: Mass of Earth M1=5.97*1024kg, mass of Mars M2=6.39*1023kg, distance b/w Earth and Mars…

Q: Write down an expression for the gravitational filed strength of a planet of radius R and density ρ.

A: GRAVITATIONAL FIELD STRENGTH     It is measure of gravitational force placed on an object…

Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 x 1011…

A: The time period of an astronomical object revolving around a central mass is given by Kepler's third…

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Q: h(x) = ² + vot + ho 2 And the expression that calculates the horizontal distance (in meters) a…

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.