The result that can be determined using relation between gravity and orbit.

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Chapter 3, Problem 7QAP

To determine

The result that can be determined using relation between gravity and orbit.

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Gravitational Forces (A) Gravitational, Electrical, Magnetic, and Nuclear Forces Math Connections Gm The surface gravity, g, on a planet can be calculated using the formula: g = , where • G = Gravity = 6.673×10-11 N • m² kg • m = mass in kg • r= radius in m Characteristics of the Planets Planet Mass (kg) Radius (m) Surface Gravity (m/s?) Mercury 3.30 х 1023 2,440,000 3.70 Venus 4.87 x 1024 6,051,000 Earth 5.97 х 1024 9.79 Mars 6.42 x 1023 3,397,000 Jupiter 1.90 x 1027 71,492,000 Saturn 5.69 x 1026 10.45 Uranus 8.66 x 1025 25,559,000 8.84 Neptune 1.03 х 1026 24,764,000 Use the table above to answer the following questions. Insert your answers into the spaces in the table. 9. Calculate the surface gravity on the following planets: (6.673x10-")(4.87×10²4)_ a) Venus g= 6,051, 000 (6.673×10"")(1.90 ×10") 71, 492, 000 b) Jupiter g= %3D c) Neptune (6.673×10-")(1.03×10%) g= 24, 764, 000 (6.673×10 ")(6.42 ×10") g= d) Mars 3, 397,000 Gm 10. Calculate the radius of each of the following planets…

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Astronomical observations of our milky way galaxy indicate that it has a mass of about 8x1011 solar masses. A star orbiting near the galaxy's periphery is 5.6x104 light years from its center. a.) What should be the orbital period (in years) of that star be? b.) If its period is 6.4x107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the center of some galaxies.