At what distance from the center of Earth is the center of mass of the Earth-Moon system? Suppose that the mass of the Moon is 7.35 x 1022 kg. Express your answer with the appropriate units.
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- Q1\ Determine the ratio of the force exerted by the sun on the moon to that exerted by the earth on the moon for position A of the moon. Repeat for moon position B. where Me 5.976(1024) kg, Mm 7.347 x 1022 Kg. M, 1.99(1030) Kg. The distance between moon and the earth =384.398(10)m and distance between earth and the sun == 150(10) m. G-6.673(10¹)m³/kg.s² Sunlight AD BA woman whose mass is 70 kg on Earth's surface is in a spacecraft at a height of twice Earth's radius (that is, 3 Earth radii) above Earth's surface. What is her mass (not weight) there? BIU S S.The radius Rhand mass Mh of a black hole are related by Rh = 2GMh/c2, where c is the speed of light. Assume that the gravitational acceleration agof an object at a distance ro= 1.001Rh from the center of a black hole is given by ag = G M / r2 (it is, for large black holes). (a) What is ag at rofor a very large black hole whose mass is 1.69 × 1015 times the solar mass of 1.99 × 1030 kg?(b) If an astronaut with a height of 1.73 m is at rowith her feet toward this black hole, what is the difference in gravitational acceleration between her head and her feet ahead-afeet?
- Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 46.4 km/s, and v, = 57.4 km/s respectivel (a) If the period of the first planet P, is 710 years what is the mass, in kg, of the star it orbits around? kg (b) Determine the orbital period, in years, of P2. yrwhat are the magnitude and direction of the gravitational force exerted on Moe by 11.lf Moe exerts a gravitational force of 3.65 x 10-8 N on Larry, who is standing east of him, 10.If an object on the earth experiences a gravitational force of 25 N toward the center of the earth, what are the magnitude and direction of the force the object exerts on the earth? Larry? If each man has a mass of 70.0 kg, how far apart are they standing? If Curly were to bump into Moe, knocking him halfway to Larry, how would the new gravitational force between Moe and Larry compare to the original? a. ¼ as great b. ½ as great c. the same d. twice as great e. four times as greatConstants Every few hundred years most of the planets line up on the same side of the Sun. Part A Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line,(Figure 1). The masses are my — 0.815mE, тj — mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. 318mв, mSat %3D 95.1mв, and the Figure 1 of 1 Express your answer to three significant figures and include the appropriate units.
- The center of mass of the moon is at an average distance to the center of mass of earth at d=6.00 * 10^24 kg as mass of earth. Wow; that is really far compared to low earth orbit like where the international space station resides. a) Calculate "little-g" from earth at this earth-moon distance (the "little-g" that the moon "experiences" from earth) using the formula: g=G m/d^2Two planets P₁ and P₂ orbit around a star S in circular orbits with speeds v₁ = 43.4 km/s, and v₂ = 57.0 km/s respectively. If the period of the first planet P₁ is 790 years what is the mass, in kg, of the star it orbits around? kg Determine the orbital period, in years, of P2. yrOften in astronomy we compare objects. In this comparison, it is useful to know how the properties of the objects affect our observations. For the following hypotheti- cal changes in astronomical bodies answer whether the change would make the specified property L - Larger, S - Smaller, or N - Not changed. (If the first is L and the rest S, enter LSSSS).A) If the mass of the Sun were doubled and the Earth kept the same distance, the period of the Earth’s orbit would be .....B) If the distance between two planets is increased, the force of gravity between them is .....C) If the mass of an object dropped on the surface of Mercury were increased, the acceleration of the object would be ..... D) If the mass of Mars were greater (but its radius were the same), the acceleration due to gravity on its surface would be .....E) If the radius of the Earth were larger (but the mass were the same), the force of gravity on objects on its surface would be .....
- The gravitational force F→SM that the sun exerts on the moon is perpendicular to the force F→EM that the earth exerts on the moon. The masses are: mass of sun = 1.99 × 1030 kg, mass of earth = 5.98 × 1024 kg, mass of moon = 7.35 × 1022 kg. The distances shown in the drawing are rSM = 1.50 × 1011 m and rEM = 3.85 × 108 m. Determine the magnitude of the net gravitational force on the moon.My Print Center The mass of a sun is 3.36 x 1030 kg. The radius of the circular orbit of a planet around this sun is 9.7 x 1011 m. Determine the length of one year on this planet. Express the result in earth days where 1 day = 24 x 3600 seconds. Recall: G = 6.67E-11 N m²/kg² In submitting this result, I attest that I have not given nor received any assistance in violation of the UTC Honor Code Pledge. Q Search No new data to save. Last checked at 9:32pm Submit QuizThe gravitational force between two people is found to be 5.9 x 10-11 N. What would the gravitational force be between the two people if person A's mass is decreased to 1/3 the original value, person B's mass is increased to 3/2 of the original mass, and the separation distance between them is increased by a factor of 2? Expressed in scientific notation, is a.b x 10 cd N. The values for a, b, c, and d are J 1 E X $ 4 R C C F5 de Lo % 5 a DA F6 6 T Y ✈ ? & 7 U F8 * 1 8 F9 2 F10 ( 93 O and F11 ) 0 1/4 § P F12 PrtSc Impr. Écr. 1/2 + 11 Insert Ins = 3/4 [[A Delete Suppr. 11>