Exam 13: Gravitation

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Four particles, each with mass m, are arranged symmetrically about the origin on the x axis.A fifth particle, with mass M, is on the y axis.The direction of the gravitational force on M is: Four particles, each with mass m, are arranged symmetrically about the origin on the x axis.A fifth particle, with mass M, is on the y axis.The direction of the gravitational force on M is:

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The escape velocity at the surface of Earth is approximately 11 km/s.What is the mass, in units of ME (the mass of the Earth), of a planet with twice the radius of Earth for which the escape speed is twice that for Earth?

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Given the perihelion distance, aphelion distance, and speed at perihelion of a planet, which of the following CANNOT be calculated?

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The orbit of a certain a satellite has a semimajor axis of 1.5 * 107 m and an eccentricity of 0.20.Its perigee (minimum distance)and apogee (maximum distance)are respectively:

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An artificial satellite of Earth nears the end of its life due to air resistance.While still in orbit:

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The gravitational constant G has the derived units

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A planet travels in an elliptical orbit about a star as shown.At what pair of points is the speed of the planet the same? A planet travels in an elliptical orbit about a star as shown.At what pair of points is the speed of the planet the same?

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The speed of a comet in an elliptical orbit about the sun:

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To measure the mass of a planet with the same radius as Earth, an astronaut drops an object from rest (relative to the planet)from an altitude of one radius above the surface.When the object hits its speed is 4 times what it would be if the same experiment were carried out for Earth.In units of ME (the mass of the Earth), the mass of the planet is:

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The magnitude of the acceleration of a planet in orbit around the Sun is proportional to:

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Earth exerts a gravitational force on the Moon, keeping it in its orbit.The reaction to this force, in the sense of Newton's third law, is:

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Assume that Earth is in circular orbit around the Sun with kinetic energy K and potential energy U, taken to be zero for infinite separation.Then, the relationship between K and U:

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A planet in another solar system orbits a star with a mass of 4.0 * 1030 kg.At one point in its orbit it is 250 * 106 km from the star and is moving at 35 km/s.Take the universal gravitational constant to be 6.67 *10-11 m2/s2 . kg and calculate the semimajor axis of the planet's orbit.The result is:

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The elliptical orbit of a planet around the Sun is shown on the diagram.Which of the following statements is true? The elliptical orbit of a planet around the Sun is shown on the diagram.Which of the following statements is true?

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