A star near the visible edge of a galaxy travels in a uniform circular orbit. It...

A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 48,400 ly (light-years) from the galactic center and has a speed of 275 km/s.

a) Estimate the total mass of the galaxy (billion solar mass) based on the motion of the star. Gravitational constant is 6.674×10⁻¹¹ m³/(kg·s²) and mass of the Sun M_s=1.99 × 10³⁰ kg.

b) The total visible mass (i.e., matter we can detect via electromagnetic radiation) of the galaxy is 10¹¹ solar masses. What fraction of the total mass of the galaxy is visible, according to this estimate?

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Problem 1. A particle is orbiting a star of mass M in a circular orbit. (a,...

Problem 1. A particle is orbiting a star of mass M in a circular orbit. (a, 2 POINTS) Find the equation that provides the orbital speed at a given distance r from the center of the star. (b, 1 POINT) From the result at (a), calculate at what distance rS the particle should be from the center of the star for its orbital speed to be equal to the speed of light, c (in this case, the particle would be...

1. A certain satellite travels in an approximately circular orbit of radius 7.5 × 106 m...

1. A certain satellite travels in an approximately circular orbit of radius 7.5 × 106 m with a period of 6 h 27 min. Calculate the mass of its planet from this information 2. (a) At what height above Earth's surface is the energy required to lift a satellite to that height equal to the kinetic energy required for the satellite to be in orbit at that height? (b) For greater heights, which is greater, the energy for lifting or...

Figure is an edge-on view of a 14 cm diameter circular loop rotating in a uniform...

Figure is an edge-on view of a 14 cm diameter circular loop rotating in a uniform 3.8×10-2 T magnetic field. I solved part a by using φ= B A cos θ = Bπr2 cosθ = (3.8 x 10-2) π (.07)2cos (0 degrees)= 5.8 x 10-4 Wb and got correct answer, but having trouble finding the right answer for part B. I used same equation for part B and used cos (30)= got wrong answer. Is there another equation for finding the answer with the...

Two planets P1 and P2 orbit around a star S in circular orbits with speeds v1...

Two planets P1 and P2 orbit around a star S in circular orbits with speeds v1 = 42.6 km/s, and v2 = 56.0 km/s respectively. (a) If the period of the first planet P1 is 780 years what is the mass, in kg, of the star it orbits around? (b) Determine the orbital period, in years, of P2.

The primary difference between infrared and visible light is that infrared travels faster than visible light....

The primary difference between infrared and visible light is that infrared travels faster than visible light. they have different amplitudes. infrared does not have a magnetic field associated with its electric field. they have different wavelengths. no materials currently known have the ability to reflect infrared.

A spaceship of mass ? is on a circular orbit around a planet of mass ?,...

A spaceship of mass ? is on a circular orbit around a planet of mass ?, and is moving with constant speed ?0. (a) What is the radius of the orbit of the spaceship? A sudden explosion tears the spaceship into two pieces of equal mass. Piece 1 leaves the explosion with speed 4?0/5 with its velocity is in the same direction of the velocity of the spaceship before the explosion. As ? ≪ ?, the gravitational attraction between the...

Assume the a star orbits the center of the Galaxy in 340 million years at a...

Assume the a star orbits the center of the Galaxy in 340 million years at a distance of 40,000 light-years. Given that D3=(M1+M2)×P2D3=(M1+M2)×P2, where DD is the orbital distance (in AUs) and PP is the orbital period (in years), what is the mass of the Galaxy within the star's orbit? (Hint: 1 light-year = 63,240 AU).

Assume that all the mass of a galaxy is in a massive uniform density ball of...

Assume that all the mass of a galaxy is in a massive uniform density ball of stars (called bulge by astronomers), with a radius of 1 kpc. The total mass of this bulge is 3 × 1010 M⊙ The volume of a sphere with radius R is: 4/3πR3. The observed rotation curve of the galaxy is flat from 1 to 8 kpc from the center. Astronomers claim that this must be due to the presence of dark matter. How much...

A satellite is placed in an elongated elliptical (not circular) orbit around the Earth. At the...

A satellite is placed in an elongated elliptical (not circular) orbit around the Earth. At the point in its orbit where it is closest to the Earth, it is a distance of 1.00 × 10^6 m from the surface (not the center) of the Earth, and is moving at a velocity of 5.14 km/s. At the point in its orbit when it is furthest from the Earth it is a distance of 2.00×10^6 m from the surface of the Earth....

Two satellites are in circular orbits around the earth. The orbit for satellite A is at...

Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 555 km above the earth’s surface, while that for satellite B is at a height of 778 km. Find the orbital speed for (a) satellite A and (b) satellite B.

Subjects