Exam 13: Newtons Theory of Gravity

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A satellite in a circular orbit of radius R around planet X has an orbital period T.If Planet X had one-fourth as much mass,the orbital period of this satellite in an orbit of the same radius would be

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A very small round ball is located near a large solid sphere of uniform density.The force that the large sphere exerts on the ball

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Two planets having equal masses are in circular orbit around a star.Planet A has a smaller orbital radius than planet B.Which statement is true?

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A satellite is in circular orbit at an altitude of 2300 km above the surface of a nonrotating asteroid with an orbital speed of 5.9 km/s.The minimum speed needed to escape from the surface of the asteroid is 14.6 km/s,and G = 6.67 × 10-11 N ∙ m2/kg2.The mass of the asteroid is closest to

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Two moons orbit a planet in nearly circular orbits.Moon A has orbital radius r,and moon B has orbital radius 4r.Moon A takes 20 days to complete one orbit.How long does it take moon B to complete an orbit?

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Neptune circles the Sun at a distance of 4.50 × 1012 m once every 164 years.Saturn circles the Sun at a distance of 1.43 × 1012 m.What is the orbital period of Saturn?

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What is the period (in hours)of a satellite circling Mars 100 km above the planet's surface? The mass of Mars is 6.42 × 1023 kg,its radius is 3.40 × 106 m,and G = 6.67 × 10-11 N ∙ m2/kg2.

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A meteoroid,heading straight for Earth,has a speed of 14.8 km/s relative to the center of Earth as it crosses our moon's orbit,a distance of 3.84 × 108 m from the earth's center.What is the meteroid's speed as it hits the earth? You can neglect the effects of the moon,Earth's atmosphere,and any motion of the earth.(G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 5.97 × 1024 kg)

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A satellite that weighs 4900 N on the launchpad travels around the earth's equator in a circular orbit with a period of 1.667 h.The earth's mass is 5.97 × 1024 kg,its equatorial radius is 6.3 × 106 m,and G = 6.67 × 10-11 N ∙ m2/kg2. (a)Calculate the magnitude of the earth's gravitational force on the satellite. (b)Determine the altitude of the satellite above the Earth's SURFACE.

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The gravitational acceleration on a planet's surface is 16.0 m/s2.What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet?

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The International Space Station is orbiting at an altitude of about 370 km above the earth's surface.The mass of the earth is 5.97 × 1024 kg,the radius of the earth is 6.38 × 106 m,and G = 6.67 × 10-11 N ∙ m2/kg2.Assuming a circular orbit, (a)what is the period of the International Space Station's orbit? (b)what is the speed of the International Space Station in its orbit?

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The moons of Mars,Phobos (Fear)and Deimos (Terror),are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the period of revolution of Phobos to that of Deimos?

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Because the earth's orbit is slightly elliptical,the earth actually gets closer to the sun during part of the year.When the earth is closer to the sun its orbital speed is

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An astronaut is standing on the surface of a planetary satellite that has a radius of 1.74 × 106 m and a mass of 7.35 × 1022 kg.An experiment is planned where a projectile needs to be launched straight up from the surface.What must be the minimum initial speed of the projectile so it will reach a height of 2.55 × 106 m above this satellite's surface? (G = 6.67 × 10-11 N ∙ m2/kg2)

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From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.9200g? The radius of the earth is 6.38 × 106 m.

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What is the ratio of the escape speed of a rocket launched from sea level to the escape speed of one launched from Mt.Everest (an altitude of 8.85 km)? The radius of the earth is 6.38 × 106 m.

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A huge cannon is assembled on an airless planet having insignificant axial spin.The planet has a radius of 5.00 × 106 m and a mass of 3.95 × 1023 kg.The cannon fires a projectile straight up at 2000 m/s.An observation satellite orbits the planet at a height of 1000 km.What is the projectile's speed as it passes the satellite? (G = 6.67 × 10-11 N ∙ m2/kg2)

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A man-made satellite of mass 6105 kg is in orbit around the earth,making one revolution in 430 minutes.What is the magnitude of the gravitational force exerted on the satellite by the earth? (The mass of the earth is 6.0 × 1024 kg and G = 6.67 × 10-11 N ∙ m2/kg2)

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Ekapluto is an unknown planet that has two moons in circular orbits.The table summarizes the hypothetical data about the moons. Ekapluto is an unknown planet that has two moons in circular orbits.The table summarizes the hypothetical data about the moons.   The orbital period of Moon B is closest to The orbital period of Moon B is closest to

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Planet Z-34 has a mass equal to 1/3 that of Earth,a radius equal to 1/3 that of Earth,and an axial spin rate 1/2 that of Earth.With g representing,as usual,the acceleration due to gravity on the surface of Earth,the acceleration due to gravity on the surface of Z-34 is

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