The surface mass density of the disk of a galaxy is given in the provided image. Σ0 is the central surface density and Rd is the scale-length, and they are both constant. Find the total mass (M) of the disk in terms of Σ0 and Rd.
Q: If y = log[(AB) 2] then Oy-log+log B y = (logA+logB) y=2(logA+logB) Oy = (logA - logB) his
A:
Q: A table top was measured with the following dimensions- Length: 215.1cm +/- 0.05cm, Width: 91.2cm…
A: To find the volume and uncertainty σV of the table-top.
Q: (a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies,…
A: mass of one star, m = 1.5 ×mass of the sun m = 1.5 ×1.989 × 1030 =…
Q: The mean anomaly of the Pluto was 12.140 degree on July 1st in 1998. The eccentricity of the Pluto…
A: Given, Mean anomaly, M=12.14 Eccentricity, e=0.249 According to Kepler's equation the eccentric…
Q: What is the equation of the sphere with center (1, –2, 5) and radius 9 ? O (x+1)² + (y – 2)² +…
A: Radius of sphere is 9 and equation of the sphere can be calculated as,
Q: An angle is measured to be 109.0±0.6deg. What is the absolute uncertainty in the sine of the angle?
A: Given data: Angle θ=109.0±0.6°
Q: Suppose you collected a data set in which you measured fall-times for different fall-heights. You…
A:
Q: Can someone please check the calculations on this for ρ = m/V_air = nM/V_air = (P/RT)M ρ =…
A: Here P=102325 PaT=310 KR=8.314 m3 PaK molM = Molar mass of air = 0.029 kgmol
Q: (a)In the deep space between galaxies, the density of atoms is as low as 106 atoms/m3, and the…
A:
Q: A star, which is 2.1 x 1020 m from the center of a galaxy, revolves around that center once every…
A:
Q: That still doesn't answer my question. How did you take (m1 + m2)2 + (m1 + m2)2 and get (m1 + m2)2.…
A:
Q: Find the total mass of an L-shaped rod consisting of the segments(2t, 2) and (2, 2 − 2t) for 0 ≤ t ≤…
A: Given data: Segments of rod, 2t,2; 2,2-2t for 0≤t≤1 Mass density, ρx,y=x2y g/cm
Q: The figure above shows the light-curve obtained from continuous monitoring of the flux received from…
A: Given Star mass Mstar = 1.47 M⊙ Star radius Rstar = 1.84 R⊙ Mass of sun M⊙…
Q: A space based observatory collects light emitted by a given galaxy. The light was initially emitted…
A:
Q: At maximum speed, a kinesin molecule moves at a rate of 6400 Å per second. Given the dimensions of…
A: It is given that R=6400 A/sD=80 AL=10 feet
Q: Let m be the magnitude of a galaxy and μ be the magnitude per solid angle of the same galaxy. Show…
A: Step 1:Step 2:Step 3:
Q: The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original…
A: (a) Given: The radius of the orbit is 10000 km. The mass of the satellite is 500 kg. The energy of…
Q: The "classical" radius of a neutron is about 0.81 fm (1 femtometer = 10-15 m). The mass of a neutron…
A: Given data: The radius of the neutron r=0.81×10-15 m The mass, of the neutron m=1.675×10-27 kg
Q: Problem A newly discovered light positively charged particle has a mass of m and charge q. Suppose…
A:
Q: Given the volume of a sphere is 3080cm3, find the radius of the sphere from the given equation: V=…
A:
Q: What is the equation of the sphere with center (1, –2, 5) and radius 9? O (x+1)2 + (y – 2)² + (z+…
A:
Q: When two spiral galaxies collide, the stars generally do not run into each other, but the gas clouds…
A:
Q: Scientists are conducting an experiment to determine if their hypothesis that a certain constant in…
A: Theoretical value xth=1.65 and average experimental value xe=1.7. The relative uncertainty was found…
Q: Given a dark matter halo at rest relative to the center of the galaxy, prove that the mean dark…
A: Let's perform the calculation step by step to find the mean dark matter particle velocity at Earth…
Q: Use the approximate values from this table to solve the problem. How many heartbeats are there in a…
A: We have to calculate number of heartbeats are there in a lifetime
Q: At the end of a massive star’s life, its core can undergo a catastrophic collapse that triggers a…
A: Write the expression for number of neutrons in a neutron star
The surface mass density of the disk of a galaxy is given in the provided image. Σ0 is the central surface density and Rd is the scale-length, and they are both constant. Find the total mass (M) of the disk in terms of Σ0 and Rd.
Step by step
Solved in 2 steps with 1 images
- Please answer C well explained.In the red shift of radiation from a distant galaxy, a certain radiation, known to have a wavelength of 434 nm when observed in the laboratory, has a wavelength of 462 nm. (a)What is the radial speed of the galaxy relative to Earth? (b) Is the galaxy approaching or receding from Earth?In the deep space between galaxies, the number density of atoms is as low as 106 atoms/m3, and the temperature is a frigid 2.7 K. part (a) What is the pressure, in pascals, in the region between galaxies? part (b) What volume, in cubic meters, is occupied by 3.5 mol of gas? Part (c) If this volume is a cube, what is the length of one of its edges, in kilometers?
- surface, denoted by “g”. In this imaginary experiment, you have measured g three times. The values you obtain are: g1 = 10.2 meters per second squared (m/s2) g2 = 10.4 m/s2 g3 = 10.0 m/s2 To find the Average Value of g, denoted by gav, simple add up the experimental values and divide by the number of experimental values you have: g1 + g2 + g3 10.2 + 10.4 + 10 gav = __________ = ____________ = 10.2 m/s2 . 3 3 Percent Error (PE) To find the Percent Error (PE), you compare the average experimental value to the standard or handbook value of the physical quantity you are measuring. The Standard Value of gravitational acceleration at Earth’s surface , gst, is 9.8 m/s2. Mathematically, PE is defined as: (Average - Standard)…For a circular velocity profile of the type Θ(r)=αr3/10Θ(�)=��3/10, where α� is a constant and r� is the radial distance from the centre of a spiral galaxy, find the ratio κ(r)/Ω(r)�(�)/Ω(�), where κ(r)�(�) is the epicyclic frequency and Ω(r)Ω(�) is the angular velocity. Enter your answer to 2 decimal places.The geometry of spacetime in the Universe on large scales is determined by the mean energy density of the matter in the Universe, ρ. The critical density of the Universe is denoted by ρ0 and can be used to define the parameter Ω0 = ρ/ρ0. Describe the geometry of space when: (i) Ω0 < 1; (ii) Ω0 = 1; (iii) Ω0 > 1. Explain how measurements of the angular sizes of the hot- and cold-spots in the CMB projected on the sky can inform us about the geometry of spacetime in our Universe. What do measurements of these angular sizes by the WMAP and PLANCK satellites tell us about the value of Ω0?