[Îx, Îy] = [Ly, L₂] = [L₂, L₂] =
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- Problem 3: The diameter of the Sun is 1392700 km. It is known that the Sun subtends at an angle of about half a degree in the sky, estimate its distance from Earth.An object is located 8cm from a concave mirror with a radius of curvature of 4cm. Where does the image form (the image distance)? Your Answer: Answer In an ancient burial cave, your team of archeologists discovers ancient wooden furniture. Only 80% of the original 14C (with a half-life of 5730yr) remain in the wood. How old is the furniture? Your Answer: Answer2. The Crab pulsar radiates at a luminosity of $1 \times 10^{31} \mathrm{~W}$ and has a period of 0.033 s .(a) If the luminosity is a direct result of the loss of rotational energy of the pulsar, determine the rate at which its period is increasing $(\mathrm{dP} / \mathrm{dt})$ in $\mathrm{s} / \mathrm{yr}$. How many years will it take for the period to double its present value? NOTE: the moment of inertia for a solid sphere is $I=\frac{2}{5} M R^2$, where $M=1.4 M_{\odot}$ and $R=1.1 \times 10^4 \mathrm{~m}$ for the Crab pulsar; the angular frequency is $\omega=2 \pi / P$.(b) Calculate the density of the neutron star by assuming the pulsar rotates close to break-up velocity (i.e. where the centripetal acceleration is close or equal to the gravitational acceleration).
- Raising a number in scientific notation to a power is easy: (5 x 105)² = (5)² x (105)² = 5 x 5 x 105 x 105 = 25 x 10(5 × 2) = 25 x 1010 = 2.5 x 101¹1 Keeping this in mind, what is the volume of the sun in km³? The radius of the sun is about 7 x 105 km, and the volume of a sphere is 4/3 x Pi x R³. (Use 3.14 for Pi, and enter your answer with two decimal places). km³ 3 What is the average density of the Sun? Density = mass / volume. The mass of the sun is 2.0x10³0 kg. kg/km³5. We observe an increase in brightness of a star that is 5.81×10¹⁹ m away. How long ago did the actual increase in brightness take place, in years? Find the time that is required for light to reach the Earth.The absolute magnitude of a star in the Andromeda galaxy (distance 690 kpc) is M = 5. It explodes as a supernova, becoming onebillion (10 9 ) times brighter. What is its apparent magnitude?
- 2.9) Explain how astronomers might use spectroscopy to determine the composition and temperature of a star.The astronomer claims that the frequency, f, of a vibrating star depends on its radius R, density r and gravitational constant G. Use dimensional analysis to find this dependence, if f is measured in s-1 and the units of G are L3/(MT2).Distance from Apparent Brightness (rank; brightest, 8 = dimmest) Name of Star Earth (light years) | 1 = Sun Sirius 8.6 Canopus Arcturus 309 3. 36.7 4 Rigel Vega Alpha Centauri Bernard's Star 773 5 25.3 4.3 7 5.9 8 13 What sentence explains why a star can be much farther from Earth than the Sun, but still be bright? nida nenv A. Distance from Earth and apparent brightness are related. B. Bright stars that are farther away are larger than the Sun. C. The higher it appears in the sky, the brighter the star. D. The apparent brightness scale goes up as stars get dimmer. del sdT
- You measure a star to have a parallax angle of 0.12 arc-seconds What is the distance to this star in parsecs? 8.33 Hint: d = 1/p What is the parallax angle of a different star that is twice as far away as the star from the previous problems? [answer in arc-seconds without including the unit]1) The Earth's orbital speed is approximately 30 km/s. A star emits a spectral line with 2=517.3 nm. Over what range does the wavelength oscillate as the Earth orbits the Sun (if the star is located at the ecliptic)?Question 4 please