Calculate the approximate lifetime of a 60 solar mass O star (1 million solar luminosities, 50% of mass is hydrogen available for burning). Give the answer in years.
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Calculate the approximate lifetime of a 60 solar mass O star (1 million solar luminosities, 50% of mass is hydrogen available for burning). Give the answer in years.
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- How much energy would be released if a star with a mass of 25 Msun and a radius of 10 Rsun detonates as a supernova explosion in 1 second? (Hint: think about the definition of binding energy). Express your answer in terms of solar luminosities.A red giant that was originally a 9.5MSun main-sequence star loses a solar mass in 100,000 years via a superwind. What is this mass loss rate in units of solar masses per year? (the answer is not 0.000095 solar masses per year). Additionally, at this mass loss rate, what will the red giant's mass be after 0.5 million years? (Enter your answer as a multiple of MSun.)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.]
- if a star is converted every bit of its mass. into energy the conversion efficiency would be 100%. however no star is this efficient in its energy production stars with less than 1.3 solar masses convert hydrogen into helium with an efficiency of only 0.7%. besring in mind that aldebaram has a mass of 2.32*10^30 kg. how long will it live if it converts all of its hydrogen into helium with an efficiency of 0.7%. 1 year = 365.25 days. lifetime= yearsWhat is the escape velocity (in km/s) from the surface of 1.1 M neutron star? (hint: Use the formula for the escape velocity Ve = 2GM/R ; make sure to express quantities in United of meters, kilograms, and seconds. Assume a neutron has a radius of 11 km and assume the mass of the sun is 1.99 x10^30 kg.) 1.1 M neutron Star = _________ km/s 3.0 neutron Star = __________ km/sAssume that the mass of the core of a star that just went Supernova type II is $2.5 \mathrm{M}_{\odot}$ before and after the collapse, while the Radius changes from $10^3 \mathrm{~km}$, before the collapse, to 12 km , after the collapse respectively.(a) What is the change in potential energy of the core between the two stages before and after the collapse?(b) Knowing that the luminosity of the Sun is $4 \times 10^{26} \mathrm{~W}$ how many years would it take the Sun to release the same amount of energy?
- Which star in the HR diagram below will no longer exist in 1 Billion years? 60 Mun 10⁰ 10⁰ 10 10² 10⁰ 10 10 10 10 30 M 10 Solar Radi Lifetime 10 yrs 0.1 Solar Radius 10 Solar Radus O Centauri 30,000 10M Sirius B MAIN Bellatrix Lifetime 10 B Rigal Deneb 6M MA Achemar SEQUENCE 18yrs WHITE SUPERGIANTS Canopus Vega 10 Soler Radi Procyon B 10,000 Srius Lifetime 10 DWARFS Alar Arcturus Procyon eyon Polaris 5 Mun Liteting 10 yrs SIM 7 Cet AFG 6,000 GIANTS Centauri A Pollux Centaur B Eridani Aldebaran K Artares 61 Cyani A Betelgeuse Barnard's Star 61 Cygni B Lacalle 9352 0.3M Gliese 725 A Gliese 725 B Ross 128 Wolf 359, Proxima Centauri M DX Cancri 3.000What is the escape velocity (in km/s) from the surface of a 1.1 M neutron star? From a 3.0 M neutron star?If a circular accretion disk around a 1.4 M, neutron star has a radius of 1.00 x 105 km as measured from the center of the neutron star to the edge of the disk, what is the orbital velocity (in km/s) of a gas particle located at its outer edge? (The mass of the Sun is GM 1.99 x 1030 kg. Hint: Use the circular orbit velocity formula, V, = ; make sure to express quantities in units of meters, kilograms, and seconds.) km/s