Let's say you see a comet's nebulous (meaning `cloudy-looking') tail stretching across the sky, and it's several million kilometers long. How big is the solid object that has developed this tail, and what's it made of? a It's a giant planet like Jupiter or Saturn, made mostly of liquid hydrogen and helium. b It's a star like the Sun, just somewhat smaller than the Sun. c It's a chunk of icy material just a few kilometers across. d It's a terrestrial planetary body about the size of Earth or Venus, made mosty of rock and metal.
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- Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax2, to match the physical hypothesis, y = 1/2*g*t2. From the best-fit curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 ± 0.4 m/s2. Determine the value of g ± dg for this fit-parameter value.You decide to go on an interstellar mission to explore some of the newly discovered extrasolar planets orbiting the star ROTOR. Your spacecraft arrives in the new system, in which there are five planets. ROTOR is identical to the Sun (in terms of its size, mass, age and composition). From your observations of these planets, you collect the following data: Density Average Distance from star (AU] Planet Mass Radius Albedo Temp. [C] Surf. Press. MOI Rotation [Earth = 1] (Earth = 1] [g/cm³] [Atm.] Period (Hours] Factor SIEVER EUGENIA 4.0 0.001 2.0 0.1 5.0 1.0 0.3 20 0.8 N/A 3.0 0.2 N/A 0.3 0.4 0.35 20 10 500 1000 5.0 4.0 0.5 0.8 0.4 0.7 -50 MARLENE CRILE 1.0 1.0 3.0 8.0 1,5 0.0 0.50 0.50 0.25 150 0.4 JANUS 100 12 0.1 10 -80 0.2 200 Figure 1: А Rotor 850 890 900 Wavelength (nm) A Sun В C 860 900 910 Wavelength (nm) 2414 a asIn 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. A) What is the pressure, in pascals, in the region between galaxies? B)What volume, in cubic meters, is occupied by 1.5 mol of gas? C)
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- 7. Why does a solar nebula flatten into a disk instead of a sphere, even though the gravity of a nebula pulls in all directions?1.1) In a star's core the average mass number for ions which are not hydrogen or helium is 10. The mass fractions of hydrogen is 0.60, of helium is 0.38, and all other elements is 0.02. Calculate the average ion mass in units of mH. 1.2) Explain two assumptions behind the Kelvin-Helmholtz timescale. 1.3) In the outer core of a massive star the temperature is 108 K. The mean particle weight is u = 0.62. Calculate the density of this region if the radiation pressure is equal to the thermal pressure. 1.4) For temperatures around 1.5 x 10' K in a stellar core, describe why it is hydrogen instead of heavier ions which undergo fusion. Also, when the temperature is higher, describe why higher mass ions can undergo fusion. 1.5) Describe two possible causes of convective instability in the outer regions of a low mass star.You've just discovered a new X-ray binary, which we will call Hyp-X1 ("Hyp" for hypothetical). The system Hyp-X1 contains a bright, B2 main-sequence star orbiting an unseen companion. The separation of the stars is estimated to be 21 milion kilometers, and the orbital period of the visible star is 3 days. (a) Use Newton's version of Kepler's third law to calculate the sum of the masses of the two stars in the system. (Hinr. See Mathematical Insight Measuring Stellar Masses in the textbook) Give your answer in both kilograms and solar masses MS-2.0 x 10^30 kg) Express your answer in kilograms to two significant figures. (b) Express your answer as a multiple of Sun's mass to two significant figures. (c) Determine the mass of the unseen companion.(Hint A main-sequence star with spectral type B2 has a mass of about 10 MSun) Express your answer as a multiple of Sun's mass to two significant figures.
- For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?If the radius of the sun is 7.001×105 km, what is the average density of the sun in units of grams per cubic centimeter? The volume of a sphere is (4/3)π r3. The sun is a sphere with an estimated mass of 2.00×1030 kg. What exactly is the conversion process for this?A planet has been discovered orbiting a K type main sequence star. A spectrum taken of this planet shows a blackbody shape to the spectrum that peaks at a wavelength of 8.67x10-5 cm. a) Find the temperature of this planet. Hint: Always make sure your units match!!!! b) Describe the prospects for life as we know it on this planet. Note that water remains in a liquid state between temperatures of 273 K and 373 K.