1. U Q1-29 & U 01-31) (a) How long does it take light to travel from the Sun to
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1. U Q1-29 & U 01-31) (a) How long does it take light to travel from the Sun to Earth (in minutes). (b) Altair 2. (U Q1-35) A person with ideal vision can see details as small as 1'. Iftwo dark lines on an eye examination 3. (U Q2-40 & U 03-32) (a) At 0 latitude, what is the Sun's altitude at noon during the vernal equinox? (b) is 5.15 pc away, what is the equivalent in units of m, AU, and ly? chart are 2 mm apart, how far (m) away can one be to discern both lines? During an occultation of Jupiter by the Moon, an astronomer notices that it takes the Moon's edge 90 s to cover Jupiter's disk. Find the angular diameter of Jupiter 4. (U Q4-47) The mass of Saturn is 100 times that of Earth, and Saturn exhibits a 10 AU. Compute the gravitational force between the Sun-Saturn and the Sun-Earth, and what is the acceleration imposed on Saturn and Earth by the Sun? 5. U Q4-53) (a) An Earth-like planet orbits a star featuring M 4Msun If the planet exhibits a-1 AU, what is the planet's orbital period(y)? (b) A planet's escape speed is pertinent when evaluating whether an atmosphere can be retained (e.g., astrobiology and exoplanet research). Calculate the relative escape speed between the Moon and Jupiter. In a subsequent chapter we will discuss whether a hot or cold gas is easier to retain, and if the gas' mass plays a role (U Q4-54) A satellite is said to be in a·geosynchronous' orbit if it appears to remain over the same spot on the rotating Earth. What is the period of this orbit, and at what distance from Earth must such a satellite be placed into orbit? (U Q4-57) What is the synodic period, and why does it play a pertinent role? Suppose a discovered asteroid is in a circular orbit with a synodic period of 1.25 y, and lies in the main-asteroid belt. Find the sidereal period of the orbit and the distance from the Sun. (U Q4-58) The average distance from the Moon to the center of the Earth is 384400 km, and the diameter of the Earth is 12756 km. Calculate the gravitational force that the Moon exerts on a 1 kg rock at Earth's surface closest to the Moon, and on a 1 kg rock at Earth's surface farthest from the Moon. The difference between the values is an indication of the tidal force in class it was assumed that for small angles sina other software) of vs. e/sine, where thex-axis is in degrees and the y-axis is in radians. Compute the y- axis at x-axis intervals of =5, 10,15,20,25.. At what angle does the relation sine exceed 1% offset? The plot provides a means of assessing the robustness of the aforementioned assumption. Ensure that the axes are labeled (e.g., x-axis features a title of ' (*) 6, 7. 8. 9, . Submit a plot (e.g., using Excel, or open office, orExplanation / Answer
1.
d = distance from sun to earth = 1.5 x 1011 m
v = speed of light = 3 x 108 m/s
t = time taken to reach earth
Using the equation
t = d/v = 1.5 x 1011 /(3 x 108) = 500 sec = 500/60 min = 8.33 min
b)
1 parsec = 3.1 x 1016 m
1 m = (1/(3.1 x 1016)) Pc = 0.322 x 10-16 pc
also , 1 parsec = 206265 au
1 au = 4.85 x 10-6 pc
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