Problem_Set_04

# Problem_Set_04 - PROBLEM SET 4 Physics 2022 1 The average...

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PROBLEM SET 4 Physics 2022 1. The average distance from the Earth to the Sun is 1.496 x 10 8 km. Express this distance in light-years. Use powers-of-ten notation. Are light-years useful units for describing distances of this size? Explain. 2. Find the average distance from the Sun to Pluto in parsecs. Compared to Pluto, how many times farther away from the Sun is Proxima Centauri? 3. Suppose that a dim star were located 2 million AU from the Sun. Find (a) the distance to the star in parsecs and (b) the parallax angle of the star. Would this angle be measurable with present-day techniques? 4. The star GJ 1156 has a parallax angle of 0.153 arcsec. How far away is the star? 5. Kapteyn’s star (named after the Dutch astronomer who found it) has a parallax of 0.255 arcsec, a proper motion of 8.67 arcsec per year, and a radial velocity of +246 km/s. (a) What is the star’s tangential velocity? (b) What is the star’s actual speed (i.e., space velocity) relative to the Sun? (c) Is Kapteyn’s star moving toward the Sun or away from the Sun? Explain.

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Problem_Set_04 - PROBLEM SET 4 Physics 2022 1 The average...

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