Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 • 1011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0 • 104 light years from its center. What should the orbital period of that star be in years?
Q: How do you express the coordinates of an object in cylindrical and spherical coordinates when its…
A: The Cartesian coordinates x,y,z of a point is related to cylindrical coordinate r,θ,z as, x=r cosθ,…
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10…
A: (a) orbital period of the star T=2πr3GM=2π6.0×104 ly39.461×1015 m1 ly36.67×10-11…
Q: Prof. Chini's research group uses short bursts of laser light to measure the motion of electrons…
A:
Q: Calculate a light-year in [a] km and [b] Mile
A: We are given with the following information : Speed of light=3*108 m/s=3*105 km/ s=1.86*105 mile/s…
Q: O Jupiter's third-largest natural satellite, lo, follows an orbit with a semimajor axis of 422,000…
A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts (a, b,…
Q: spherical masses are always fun to observe and sort of analyze in physics. in this problem, we would…
A: Given, mass of the first spherical mass m1=49 kg mass of the second spherical mass m2=73 kg radius…
Q: A 3.5 kg mass weighs 29.05 N on the surface of a planet similar to Earth. The radius of this planet…
A: The formula for the acceleration due to gravity on the planet is given by, Here, G, MP and r…
Q: We are going to make a simple approximation of the number of atoms in the universe. Assume all the…
A: Given that, Density of sun = 1.4 g/cm3 Radius of sun = 7.0×108 m =7.0×1010 cm Mass of the sun =…
Q: It is believed that there is a black hole with a mass of approximately four million times the mass…
A:
Q: The planet Jupiter has a mass of 1.9 × 1027 kg and a radius of 72,000 km. The Earth, meanwhile, has…
A: Mass of the Jupiter Mj = 1.9 ×1027 kg Radius of the Jupiter Rj = 72,000 km Mass of…
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 10…
A:
Q: We sent a probe out to orbit the planet Kerbal at a distance of 5.5x107m from the middle of the…
A: we know the distance between planet and orbit. that is r =5.5*107 m
Q: The speed of a gravitational wave is reported to be the same as the speed of light, which is 3.0 x…
A:
Q: the weight, w, of an object varies inversely as the square of the distance, d, between the object…
A:
Q: Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet…
A:
Q: The kinetic energy varies directly as the square of the momentum (?) and inversely as the mass (?).…
A:
Q: If a planet with 8.1 times the mass of Earth was traveling in Earth's orbit, what would its period…
A: According to KEPLER'S THIRD LAW Period of planet is cube of semimajor axis. Period is related with r…
Q: Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and…
A: As gravitational force is equal to the centripetal force, The angular speed is given by, The time…
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 × 1011…
A:
Q: A planet with mass 8.07x1023 kg orbits a star with mass 1.18x1030 kg. The orbit is circular, and the…
A:
Q: The rings of the planet Saturn consist of particles of rock and ice which orbit the planet. The mass…
A: We need to calculate the gravitational attraction force between the Saturn and the orbiting…
Q: A star is observed to undergo circular orbit around the black hole located at the centre of the…
A: We have a star which is undergoing a circular orbit of radius R=1000 AU=1.469*1014m with a time…
Q: You are working at a summer internship for NASA, working to study exoplanets (planets we have…
A:
Q: The International Space Station (ISS) is a space station orbiting the earth above the ground. If the…
A:
Q: A planet with mass 4.83x1023 kg orbits a star with mass 6.95x1030 kg. The orbit is circular, and the…
A: Given Mass of the star is M=6.95×1030 kg Universal gravitational constant is G=6.67×10-11 N.m2/kg2…
Q: A 1.07 kg mass is at the center of a uniform spherical shell of mass 1.06 * 10 ^ 20 * kg and radius…
A: See below
Q: According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from…
A: The given relationship of Distance(D) and Time(P) is D = 93P 2/3 For Pluto, the time P = 248…
Q: The mass of Mars is 6.42 × 10^23 kg. Its moon Phobos is 9.378 x 10^6 meters away from Mars, with a…
A:
Q: f a planet with 2.3 times the mass of Earth was traveling in Earth's orbit, what would its period be…
A: Given data Mass of the planet is,M=2.3×ME Radius of the orbit of the planet is equal to radius of…
Q: Newton's law of universal gravitation is represented by Mm F = G where F is the gravitational force,…
A: Dimensional analysis is analyzing different physical quantities by identifying their base quantities…
Q: An object of mass mm is launched from a planet of mass MM and radius RR. a) Derive and enter an…
A:
Q: distance from the earth's surface reached by the mass.
A: Given: Mass of object is m=3 kg Initial position of object is 160 km above earth's surface. Object…
Q: What is the mass of the sun if the radius is 7.1*10^8 and the gravitational acceleration is 270?…
A: Write the given value of this question, Radius of sun is, R=7.1×108m Gravitational acceleration is,…
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 • 1011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0 • 104 light years from its center.
What should the orbital period of that star be in years?
Part (b) If its period is 6.0 • 107 years instead, what is the mass of the galaxy in solar masses? 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.

Trending now
This is a popular solution!
Step by step
Solved in 7 steps

- A newly discovered planet has four times the mass of the Earth, but a person's weight on the new planet's surface is the same as the person's weight on the Earth's surface. The radius of the new planet in terms of the radius R of Earth isOne type of engine used in space travel is an ion thruster. These engines produce a low force that results in small acceleration changes. If an ion-thrust engine is used to apply 87 millinewtons [mN] of force on a satellite with a mass of 1.7 megagrams [Mg], what is the acceleration produced in units of meters per second squared [m/s2]?GPS (Global Positioning System) satellites orbit at an altitude of 2.7x10^7m. You may want to review (Pages 392-398) Part A Find the orbital period Express your answer using two significant figures. 19 ΑΣφ ? T- h Submit Part B Find the orbital speed of such a satelite. Express your answer using two significant figures. 150 AC ? Submit Request Answer
- Astronomical observations of our milky way galaxy indicate that it has a mass of about 8x1011 solar masses. A star orbiting near the galaxy's periphery is 5.6x104 light years from its center. a.) What should be the orbital period (in years) of that star be? b.) If its period is 6.4x107 years instead, what is the mass (in solar masses) 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 center of some galaxies.The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 8.773 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.The mass of Mars is 6.42 × 10^23 kg and when it is closest to earth it is 54 million km away. a) Convert the distance to meters using scientific notation and b) What is the gravitational force between Mars and earth at this distance ?
- If a planet has a period of 8 years, what is its average distance from the Sun, in astronomical units? Assume thatthe mass of the planet is small compared to the Sun and thatthe average distance from the Sun is the same as the semimajoraxis. Make sure you express your answer with at least one digitafter the decimal point.The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun. (b) Is the ratio an upper limit estimate or a lower limit estimate?a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 e
- 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).The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 10.934 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.6 x 104 light-years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 5.3 x 107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way. solar masses