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Gravity Review A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24 kg, what is the gravitational force acting on the satellite? (G is 6.67E-11) A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24 kg, what is the centripetal acceleration (m/s2) of the satellite? (G is 6.67E-11) A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24 kg, what is the centripetal velocity (m/s) of the satellite? (G is 6.67E-11) The centers of two 15.0-kilogram spheres are separated by 3.00 meters. The magnitude of the gravitational force between the two spheres is approximately A. 1.11 × 10–10 N B. 3.34 × 10–10 N C. 1.67 × 10–9 N D. 5.00 × 10–9 N The radius of Mars is approximately onehalf the radius of Earth, and the mass of Mars is approximately one-tenth the mass of Earth. Compared to the acceleration due to gravity on the surface of Earth, the acceleration due to gravity on the surface of Mars is A. smaller B. larger C. the same A planet is orbiting a star that is about 10 times the size of our sun. If the star were to collapse and become a black hole, what would happen to the gravitational attraction between the star and the planet? A. smaller B. larger C. the same If the Earth were twice as massive as it is now, then the gravitational force between it and the Sun would be A. the same B. twice as great C. half as great D. four times as great Compared to the mass of an object at the surface of the Earth, the mass of the object a distance of two Earth radii from the center of the Earth is A. the same B. twice as great C. one-half as great D. one-fourth as great Two objects of equal mass are a fixed distance apart. If the mass of each object could be tripled, the gravitational force between the objects would A. decrease by one-third B. triple C. decrease by one-ninth D. increase 9 times Which graph represents the relationship between the magnitude of the gravitational force exerted by Earth on a spacecraft and the distance between the center of the spacecraft and center of Earth? A. B. C. D. What is the period of orbit of a communications satellite in geosynchronous orbit about Earth? A. 1 year B. 24 hours C. 12 hours D. 60 minutes An artificial satellite makes 4 complete revolutions about the Earth in 8 hours. The period of revolution of the satellite is A. ½ hour B. 2 hours C. 8 hours D. 32 hours In order to experience weightlessness in a spaceship, an astronaut must have an acceleration that is A. less than that of the ship B. more than that of the ship C. the same as that of the ship Which diagram best represents the gravitational forces, Fg, between a satellite, S, and Earth? A. B. C. D. The shape of the Earth's orbit is A. circular B. elliptical C. helical D. spherical The comet Hyakutake, seen in the Earth's sky in 1996, will take more than 10,000 years to complete its orbit. Which object is at a focus of the comet's orbit? A. Earth B. Sun C. Moon D. Jupiter Compared to the time the planet takes to move from C to D, the time it takes to move from A to B is A. less B. greater C. the same Area 1 equals area 2. Which satellite has the greatest tangential velocity (m/s)? A. A B. B C. C D. D Which satellite has the longest period? A. A B. B C. C D. D At which position in its orbit is the comet's potential energy the greatest? A. A B. B C. C D. D