Exam 11: Gravity

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The Roche Limit tells us about the point on a rotating planet where the gravitational force at the equator is just equal to the necessary centripetal force needed for rotation. Assuming the planet to be a uniform sphere of density 5520 kg/m3, find the shortest period of rotation possible before exceeding the Roche Limit. (G = 6.67 ×\times 10-11 N·m2/kg2)

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Which of the following statements is true?

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Two satellites, one in geosynchronous orbit (T = 24 hrs) and one with a period of 12 hrs, are orbiting Earth. How many times larger than the radius of Earth is the distance between the orbits of the two satellites. (Mass(Earth) = 5.98 ×\times 1024 kg, G = 6.67 ×\times 10-11 N·m2, g = 9.81 m/s2, radius(Earth) = 6.38 ×\times 106 m)

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Use the figure to the right to answer the next problems. The orbits of two planets orbiting a star are shown. The semimajor axis of planet A is twice that of planet B. Use the figure to the right to answer the next problems. The orbits of two planets orbiting a star are shown. The semimajor axis of planet A is twice that of planet B.   -If the period of planet B is T<sub>B</sub>, the period of planet A is -If the period of planet B is TB, the period of planet A is

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Of the five masses in orbit around the central mass, the one that would require the most energy to escape from its orbit is Of the five masses in orbit around the central mass, the one that would require the most energy to escape from its orbit is

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The mean radius of Earth is about 6.436 ×\times 106 m. A satellite in a circular orbit 3.20 ×\times 106 m above the surface of Earth has an acceleration of approximately

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Of the satellites shown revolving around Earth, the one with the greatest speed is Of the satellites shown revolving around Earth, the one with the greatest speed is

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A woman whose weight on Earth is 500 N is lifted to a height of two Earth radii above the surface of Earth. Her weight

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One day a human being will land on Mars. Mars has a diameter of 6786 km and a mass of 6.42 ×\times 1023 kg. If you weighed 834 N on Earth, how much would you weigh on Mars?

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  Two planets have masses M and m, and the ratio M/m = 25. The distance between the planets is R. The point P, is between the planets as shown, and the distance between M and P is x. At P the gravitational forces on an object due to M and m are equal in magnitude. The value of x is Two planets have masses M and m, and the ratio M/m = 25. The distance between the planets is R. The point P, is between the planets as shown, and the distance between M and P is x. At P the gravitational forces on an object due to M and m are equal in magnitude. The value of x is

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Suppose the gravitational mass, mG, and inertial mass, mI, were not equivalent and 1mG = 2 mI. Near Earth's surface, the acceleration due to gravity would have a value of

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  Test masses are used to measure the gravitational field at various positions in and near a solid sphere of uniform density. The gravitational field will have its least value at point Test masses are used to measure the gravitational field at various positions in and near a solid sphere of uniform density. The gravitational field will have its least value at point

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Use the figure to the right to answer the next problems. The orbits of two planets orbiting a star are shown. The semimajor axis of planet A is twice that of planet B. Use the figure to the right to answer the next problems. The orbits of two planets orbiting a star are shown. The semimajor axis of planet A is twice that of planet B.   -The speed of planet A when it is at A is _____ the speed at A'. -The speed of planet A when it is at A is _____ the speed at A'.

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If the mass and radius of Mars to Earth are 11% and 53% respectively, calculate the ratio of the escape velocity of Earth divided by that of Mars.

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The moon has a period of 27.3 d and is an average distance from Earth of 3.84 ×\times 105km. A communications satellite is placed in an Earth orbit at 4.23 ×\times 104 km from the center of Earth. What is the period of this satellite?

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Taking the zero of potential energy to be at the infinite separation of two masses, consider the energy of a body in circular planetary motion. Which of the following statements is valid?

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   The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67  \times  10<sup>-11</sup> N·m<sup>2</sup>/kg<sup>2</sup>) The magnitude of the gravitational field at point P, due to the body of mass m, is (G = 6.67 ×\times 10-11 N·m2/kg2)

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What is the force of gravity between the proton and electron in a hydrogen atom, given that G = 6.67 ×\times 10-11 N·m2/kg2, mass of a proton = 1.67 ×\times 10-27 kg, mass of an Electron = 9.1 ×\times 10-31 kg, and average radius of the electron's orbit in the hydrogen atom = 0.0529 nm?

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When two masses are a distance R apart, each exerts a force of magnitude F on the other. When the distance between them is changed to 4R, the force is changed to

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A body experiences a gravitational force with a magnitude of 200 N in a region of space where the magnitude of the gravitational field is 10 m/s2. The mass of the body is

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