f a giant molecular cloud is 38 pc in diameter and a shock wave can sweep through it in 6 million years, how fast is the shock wave going in kilometers per second
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If a giant molecular cloud is 38 pc in diameter and a shock wave can sweep through it in 6 million years, how fast is the shock wave going in kilometers per second? (Notes: 1 pc = 3.1 1013 km; 1 yr = 3.2 107 s.) answer in km/s
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- (Astronomy) Supernova Ejection Times. Observations show that the gas ejected from SN 1987A is moving at about 10,000 km⁄s. How long will it take to travel one astronomical unit in hours? (Note that 1 AU equals 1.5 × 108 km)We observe a star that is dstar away. How much extinction would there need to be (i.e., what must tau(τ) be) if we had ignored intervening dust, and concluded that it was actually 2*dstar away? Value: dstar = 850 pcThe initial stage of star formation is a free-fall collapse. This switches over to a more gradual collapse when: nuclear fusion begins in the core of the cloud. hydrogen in the cloud is completely ionized. convection sets in below the surface of the young star. the cloud becomes opaque to its own radiation.
- 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.If a protostellar disk is 210 AU in radius and the disk plus the forming star together contain 4 solar masses, what is the orbital speed at the outer edge of the disk in kilometers per second? (Hint: Use the circular orbital velocity formula )A main sequence star of mass 25 M⊙has a luminosity of approximately 80,000 L⊙. a. At what rate DOES MASS VANISH as H is fused to He in the star’s core? Note: When we say “mass vanish '' what we really mean is “gets converted into energy and leaves the star as light”. Note: approximate answer: 3.55 E14 kg/s b. At what rate is H converted into He? To do this you need to take into account that for every kg of hydrogen burned, only 0.7% gets converted into energy while the rest turns into helium. Approximate answer = 5E16 kg/s c. Assuming that only the 10% of the star’s mass in the central regions will get hot enough for fusion, calculate the main sequence lifetime of the star. Put your answer in years, and compare it to the lifetime of the Sun. It should be much, much shorter. Approximate answer: 30 million years.
- If an open cluster contains 650 stars and is 27 pc in diameter, what is the average distance between the stars? (Hint: On average, what share of the volume of the cluster surrounds each star?)A supernova’s energy is often compared to the total energy output of the Sun over its lifetime. Using the Sun’s current luminosity, calculate the total solar energy output, assuming a 1010 year main-sequence lifetime. Using Einstein’s formula E=mc2 calculate the equivalent amount of mass, expressed in Earth masses. [Hint: The total energy output of the Sun over its lifetime is given by its current luminosity times the number of seconds in a year times its ten billion-year lifetime; ; mass of earth = 6×1024kg; c = 3×108m/s. Your answer should be 200-300 Earth masses.]A) A typical dust grain has a radius of about 0.1 micrometers and a mass of 10-14 grams. Roughly how many dust particles are in a cloud containing 1000 Msun of dusty gas if 1% of the cloud's mass is in the form of dust grains? B) What surface area would be covered by these grains if you put them side by side? Assume these grains are spherical. Answer in square light-years. C) Estimate the total surface area covered by the cloud assuming it's matter density is like that of a typical molecular cloud, about 10-21 g/cm3 (Hint: first calculate the clouds volume from it's mass and density, then determine its radius using the formula for volume of a sphere) Answer in square light-years. D) Comparing all above answers, What are the chances (very roughly) that a photon passing through the cloud will hit a dust grain?
- if a protostellar disk is 260 au in radius and the disk plus the forming star together contain 7 solar masses what is the orbital speed at the outer edge of the disk in km per second. use the circular orbital velocity formulaWhat is the escape velocity (in km/s) from the surface of a 1.1 M neutron star? From a 3.0 M neutron star?How many years? Thank you!