3. The weight of a particle varies with altitude such that W = m(grå)/r², where ro is the radius of the earth and r is the distance from the particle to the earth's center. If the particle is fired vertically with a velocity vo from the earth's surface, determine its velocity as a function of position r. What is the smallest velocity vo required to escape the earth's gravitational field, what is the time required to reach the altitude?

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Chapter1: Units, Trigonometry. And Vectors
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3. The weight of a particle varies with altitude such that W = m(gr)/r², where ro is the radius of the
earth and r is the distance from the particle to the earth's center. If the particle is fired vertically with a
velocity vo from the earth's surface, determine its velocity as a function of position r. What is the smallest
velocity vo required to escape the earth's gravitational field, what is the time required to reach the altitude?
Transcribed Image Text:3. The weight of a particle varies with altitude such that W = m(gr)/r², where ro is the radius of the earth and r is the distance from the particle to the earth's center. If the particle is fired vertically with a velocity vo from the earth's surface, determine its velocity as a function of position r. What is the smallest velocity vo required to escape the earth's gravitational field, what is the time required to reach the altitude?
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