An object of mass m is thrown vertically upward from the surface of the earth with

Chapter 11, Problem 30

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An object of mass m is thrown vertically upward from the surface of the earth with initial velocity v0. We will calculate the value of v0, called the escape velocity, with which the object can escape the pull of the gravity and never return to earth. Since the object is moving far from the surface of the earth, we must take into account the variation of gravity with altitude. If the acceleration due to gravity at sea level is g, and R is the radius of the earth, the gravitational force, F, on the object of mass m at an altitude h above the surface of the earth is given by F = mgR2 (R + h)2 .

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