Spring 2010 Solutions - FSU Physics Department

Spring 2010 Solutions - FSU Physics Department Spring 2010 Solutions - FSU Physics Department

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Problem 5Suppose the Moon were to have the same mass as the Earth, and you are trying to throwone of your textbooks from the Earth to the Moon. With what minimum velocity must thebook leave the surface of the Earth? Neglect the relative motion of the Earth and Moon24and the Earth’s rotation. The mass of the Earth is M = 610 ⋅ kg , the radius of the Earth6is 6.4⋅10 m , and the distance from the center of the Earth to the center of the Moon is8R = 3.8⋅10m. Compare your answer to the escape velocity from Earth alone. TheEM−gravitational constant is G= 6.67⋅10Nm / kg11 2 2E

Problem 5Suppose the Moon were to have the same mass as the Earth, and you are trying to throwone of your textbooks from the Earth to the Moon. With what minimum velocity must thebook leave the surface of the Earth? Neglect the relative motion of the Earth and Moon24and the Earth’s rotation. The mass of the Earth is M = 610 ⋅ kg , the radius of the Earth6is 6.4⋅10 m , and the distance from the center of the Earth to the center of the Moon is8R = 3.8⋅10m. Compare your answer to the escape velocity from Earth alone. TheEM−gravitational constant is G= 6.67⋅10Nm / kg11 2 2E

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