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- CM-2 A water molecule consists of an oxygen atom with y a mass of 16.0u (u is one atomic mass unit) and two hydrogen atoms, each with a mass of 1.00u. The distance of each hydrogen atom from the center of the oxygen atom is 0.100nm (n=10"). The angle between the hydrogen atoms is 106°. Suppose that a coordinate system is used such that the x axis splits the angle between the two hydrogen atoms as shown to the right. a) Find the y coordinate of the center of mass of the water molecule. b) Find the x coordinate in nm of the center of mass of the water molecule. 0.100nm, 53.0° 53.0° 0.100nm 梦 0 hpD Gm₁m₂ Fg KE = mv², Ug = - 2πr , ac = =²₁, v = ²7₁ T Gm₁m₂ GM g = G, Vesc = 2GM R , E = KE + Ug, G = 6.674 x 10-¹1 Nm²/kg² Problem 1: You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its radius to be 9 x 106 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 2.2 x 10¹¹ m from its star with a period of 402 days (3.473 x 107 sec). Once on the surface you find that the free-fall acceleration is 12.2 m/sec². a) What is the mass of the planet? Answer: 1.5 x 1025 kg. b) What is the mass of the star? Answer: 5.2 x 1030 kg.An extrasolar planet has mass 1.27E+25 kg and radius 67400000_m. What is the escape speed for this planet? 11440_m/s 12230_m/s 5014_m/s А. D. 16190_m/s В. Е. 1973_m/s С. F. 9206 m/s
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