Exam 11: Gravity

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Two satellites of the same mass are placed in orbits around Earth.Satellite One is at an altitude of 1RE and Satellite Two at an altitude of 2RE where RE = 6370 km is the radius of Earth.What is the ratio of the potential energy of Satellite One to Satellite Two?

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A body experiences a gravitational force with a magnitude of 100 N in a region of space where the magnitude of the gravitational field is 20 m/s2.The mass of the body is

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You are in a spaceship that has a mass of 13 ×\times 104 kg and is 2.2 ×\times 1012 m from a black hole near the center of the galaxy.The gravitational force exerted by the black hole on the spaceship is 46 N.The force on the ship when it has moved to one-third of its original distance from the black hole 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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The radius of the moon is R.A satellite orbiting the moon in a circular orbit has an acceleration due to the moon's gravity of 0.14 m/s2.The acceleration due to gravity at the moon's surface is 1.62 m/s2.The height of the satellite above the moon's surface is

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When a falling meteor is at a distance of twice Earth's radius (re = 6.436 ×\times 106 m)from the surface of Earth,its acceleration due to gravity is approximately

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The mass density of a planet varies with distance from the center as The mass density of a planet varies with distance from the center as   where C is a dimensionless constant,and R<sub>P</sub> is the radius of the planet.The gravitational field of the planet for r < R<sub>P</sub> is where C is a dimensionless constant,and RP is the radius of the planet.The gravitational field of the planet for r < RP is

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A spring scale and a balance are used to "weigh" a body at the equator and later at a higher latitude,which has a different value for the acceleration due to gravity.Which of the following is a true statement concerning these weightings?

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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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With what velocity must a body be projected vertically upward from the earth's surface,in the absence of friction,to rise to a height equal to the earth's radius (6400 km)?

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Kepler's law of the harmonic (the period-distance relationship)is an example of

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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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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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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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The radius of the orbit of Earth around the Sun is 150 ×\times 106 km.If the orbital periods for Earth and Venus are 365 and 225 days respectively,calculate the radius of orbit for Venus in astronomical units AU.

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The radius R of a stable,circular orbit for a satellite of mass m and velocity v about a planet of mass M is given by

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A satellite with a mass m is in a stable circular orbit about a planet with a mass M.The universal gravitational constant is G.The radius of the orbit is R.The ratio of the potential energy of the satellite to its kinetic energy is

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A plot of the gravitational potential energy of a 1-kg body as a function of its height above the surface of a planet shows that the gravitational acceleration at the surface of the planet is A plot of the gravitational potential energy of a 1-kg body as a function of its height above the surface of a planet shows that the gravitational acceleration at the surface of the planet is

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A certain object weighs 22.2 N on the surface of Earth.If the radius of the moon is 0.276 times the radius of Earth and the mass of the moon is 0.0123 times the mass of Earth,the object's weight on the surface of the moon is approximately

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Of the five masses in orbit around the central mass,the one with the longest period of revolution is Of the five masses in orbit around the central mass,the one with the longest period of revolution is

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