Exam 6: Gravitation and Newtons6 Synthesis

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Ordinary forces, such as pushes, pulls, normal forces and friction, are considered to be due to the

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Kepler's third law can be used to compare the Moon's orbit around the Earth to the orbit of the Earth around the Sun.

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You are on an airplane traveling with a constant velocity at an altitude of 20,000 m. What is the acceleration of gravity at that altitude? The radius of Earth is 6.37 × 106 m.

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An elevator accelerates upward with an acceleration equal to the acceleration of gravity. A ray of light emitted from one wall inside the elevation at a height h relative to the floor of the elevator will hit the opposite wall at a height (relative to the floor)

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An object with mass m is located halfway between an object of mass M and an object of mass 3M that are separated by a distance d. What is the magnitude of the force on the object with mass m?

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State Einstein's principle of equivalence.

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Kepler's second law tells us that a planet sweepa out equal areas in equal times. If you compare the amount of area per time swept by Earth with the one of Jupiter, you would conclude:

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The reason that when an object falls towards Earth, Earth does not move toward the object, is that the force exerted by Earth on the object is so much bigger.

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A geosynchronous satellite is one that stays above the same point on the Earth, which is possible only if it is above one of the Earth's poles.

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What is the period 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 m3/kg/s2.

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At what altitude should a satellite be placed into circular orbit so that its orbital period is 48.0 hours? The mass of the earth is 5.976 × 1024 kg and the radius of the earth is 6.378 × 106 m.

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A thin uniform spherical shell exerts zero force on a particle located inside of the thin shell.

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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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Assuming that the gravitational acceleration is constant and equal, in magnitude, to the acceleration of gravity at the surface of the earth, how far would light deflect from a straight line path as it travels one Earth diameter, 1.28 × 107 m?

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By how many newtons does the weight of a 100-kg person change when he goes from sea level to an altitude of 5000 m? (The mean radius of the Earth is 6.38 × 106 m.)

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A planet of mass M has a moon of mass m in a circular orbit of radius R. An object is placed between the planet and the moon on the line joining the center of the planet to the center of the moon so that the net gravitational force on the object is zero. How far is the object placed from the center of the planet?

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A satellite is in a circular parking orbit 6.98 × 106 m from the center of Earth. To initiate a Hohmann transfer, a rocket gives it an accelerating thrust so that its speed is increased to 8300 m/s. How far from the center of Earth will the satellite be when it reaches its apogee? The mass of Earth is 5.97 × 1024 kg and G = 6.67 x 10-11 N•m2/kg2.

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An astronaut is piloting a spacecraft, which is in a circular orbit around Earth. A space station is ahead, on the same circular orbit. If he fires his rockets briefly to decrease the forward speed of the rocket, what will happen?

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Describe how a satellite is placed into orbit and remains in orbit around the earth.

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You ride on an elevator that is moving upward with constant speed while standing on a bathroom scale. The reading on the scale is

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