(Astronomy) Neutron Star Escape Velocity. What is the escape velocity at the surface of a 2.80-solar-mass neutron star that has a typical radius for this type of star? Express your answer in units of km/s.
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(Astronomy)
Neutron Star Escape Velocity.
What is the escape velocity at the surface of a 2.80-solar-mass neutron star that has a typical radius for this type of star? Express your answer in units of km/s.
Step by step
Solved in 2 steps with 1 images
- a)What is a neutron star? B)How are they formed? C)Will our Sun become a neutron star? Why or why not?After the Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth.Calculate the average density of the white dwarf.Calculate the surface free-fall acceleration.Calculate the gravitational potential energy associated with a 6.69-kg object at the surface of the white dwarf.Imagine there is a large star that produces 2.5 x 1030 Watts of power. If there is a planet orbiting this star from 500 million kms away, what would be the solar constant of that planet? a. 7,900W/m2 b. 52,000 W/m2 c. 250,000 W/m2 d. 800,000 W/m2
- 7. Let's characterize a typical neutron star. (a) Compute its luminosity in units of the solar luminosity. Consider that the neutron star has a surface effective temperature of 106 K and a radius of 7 km. (b) In which wavelength does the neutron star radiate most energy (in nm)? (c) In which region of the spectrum it will be easier to detect / observe such an object (look at Figure 2)? mmmmmm 0.0001 nm 0.01 nm Gamma rays 400 nm Increasing energy X-rays Increasing wavelength 10 nm 1000 nm 0.01 cm Ultra- violet Infrared Visible light 500 nm 600 nm Figure 2: Electromagnetic spectrum 1 cm 1m Radio waves Radar TV FM 700 nm 100 m AMAs6Explain what is meant by the Schwarzschild radius of a black hole. Using a Newtonian approx- imation, derive an expression for the Schwarzschild radius, R, of a black hole of mass MBH- Calculate the Schwarzschild radius for a body with mass equal to the Sun's mass, and express your answer in units of kilometres.
- Match each characteristic below to the appropriate stellar end state. (Select W-White dwarf, N-Neutron star, B-Black hole. If the first is W and the rest N, enter WNNNNNNN). A) Size defined by its Schwarzschild radius. B) Typically about the size of Earth. C) Usually has a very strong magnetic field. D) In a binary system it can explode as a supernova. E) Supported by electron degeneracy pressure. F) Sometimes appears as a pulsar. G) Viewed from afar, time stops at its event horizon. H) Has a mass no greater than 1.4 solar-masses.D Question 9 Which of the following stages of stellar evolution creates and ejected balloon of material called a planetary nebula? O Hydrogen Fusion Multiple Shell Fusion. O Supernova O Hydrogen Shell Fusion O Helium Flash Hellum Fusion,(Astronomy) Binary Pulsar. Part A: Use the orbital period 27 min for the binary pulsar (two neutron stars orbit each other) to find the orbital separation of the pair in AU and solar radii. Assume a neutron star's mass is 3 solar masses. (Hints: Use the version of Kepler's third law for binary stars.) Part B: Is this system orbiting closer or further than Mercury is to the Sun?
- 1) a) Calculate the Jeans length for the dense core of a giant molecular cloud with T=10 K, n = 1010/m³, and µ=2. b) Estimate the adiabatic sound speed for this core, using y=5/3. c) Use this speed to find the amount of time required for a sound wave to cross the cloud t3=2Rj/vs. d) Compare your answer with the free-fall scale and comment your results.A. Estimate the surface gravity of a neutron star with R = 10 km and M = 2M. . B. Determine the density of such a neutron star in g/cm³. C. How much would a teaspoon (5 cm³) of this neutron star weigh on Earth? This material is known as neutronium. Give your answer in pounds. D. Which would be heavier: a teaspoon of neutronium weighed on Earth, or a teaspoon of water weighed on the surface of a neutron star?(Astronomy) Black Hole Gravity I. If the gravitational acceleration is g=GM/r^2, what gravitational acceleration does a particle feel at the Schwarzshild radius of a 12-solar-mass black hole star? Express your answer in units of m/s2. Please round your answer to three significant digits.