Exam 12: Gravitation

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A 1000-kg satellite in circular orbit around the Earth is moving at a speed of 7 * 103 m/s.How much work must be done to "raise" the satellite to a higher circular orbit doubling its height above the surface of the Earth?

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Two identical 30.0-kg spheres of diameter 20 cm are 50.0 cm apart (center to center distance).If they are released from rest and allowed to fall toward one another,what is their speed when they just make contact? Assume that the only force acting on the masses are the gravitational force of the other mass.

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Two rockets are launched from the surface of a planet.The first rocket has ten times the mass of the second rocket.Which statement is true?

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The orbital period of a planet around a star is proportional to

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If you quadruple the radius of the orbit of a moon around the planet Jupiter,the new time of revolution,T',of this moon is

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If the Earth suddenly stopped in its orbit around the Sun,it would fall into the Sun.Find the speed of the Earth as it impacted the Sun. Radius of the Sun: 6.96 * 108 m Radius of the Earth: 6.38 *106 m Initial distance between the Earth and the Sun: 1.50 * 1011 m Mass of the Earth: 5.98 * 1024 kg Mass of the Sun: 1.99 *1030 kg

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A geostationary satellite is in a circular orbit around the Earth.What is the radius of the orbit of the satellite?

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The acceleration due to gravity on the Earth's surface is g.At an elevation of 1,000 km above the Earth's surface is the acceleration due to gravity in terms of g? The radius of the Earth is 6.37 * 106 m.

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Our Sun has a mass of M = 2.0·1030 kg and a radius of R = 7·108 m.What is the gravitational acceleration at the surface of the Sun?

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A geostationary satellite is in a circular orbit around the Earth.What is the linear speed of the satellite?

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At what elevation above the Earth's surface is the acceleration due to gravity 1% less than it is at the surface? The radius of the Earth is 6.37 * 106 m.

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Three masses that are 10 kg each are located at the corners of an equilateral triangle,with side length of 0.55 m.What is the magnitude of the total force acting on one mass due to the other two masses?

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Two planets,A and B,are in orbit around the same star.If A has a period of 12 days and an orbit radius of 1.63·105 km,and B has a radius of 3.26·105 km,what is the period of B in days?

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A mass of 10 kg is taken up to a distance nine times the Earth's radius above the surface of the Earth.What is its weight in N at that point?

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In order for a satellite to be in a stable circular orbit a vertical distance h above the surface of the Earth,how fast must it be moving? In the answers,r = the radius of the Earth and m = the mass of the Earth.

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The peak of Mount Everest is 8840 m above sea level.Assuming that the Earth is a perfect sphere with a radius from the center to sea level of 6380 km,the gravitational acceleration at the peak of Mount Everest is

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Satellites in low Earth orbit lose energy from collision with the tenuous atmosphere,causing them to slowly spiral inward.What happens to their kinetic energy as they fall inward?

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What is the orbital speed of a satellite in a geostationary orbit about the Earth? (The necessary altitude above ground for a geo-stationary satellite is 35,800 km;the Earth's radius is 6400 km.)

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If two planets,A and B,have the same value of g on their surfaces,which of the following scenarios cannot be true? (MA and MB are their masses and RA and RB are their radii.)

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If the Earth's orbit around the Sun were increased to a radius twice what it is now.Which of the following is true?

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