Answer: According to Newtons Law of Universal Gravitation,
Chapter 7, Problem 7.6.50(choose chapter or problem)
According to Newtons Law of Universal Gravitation, the gravitational force on an object of mass that has been projected vertically upward from the Earths surface is where is the objects distance above the surface at time , is the Earths radius, and is the acceleration due to gravity. Also, by Newtons Second Law, and so (a) Suppose a rocket is fired vertically upward with an initial velocity . Let be the maximum height above the surface reached by the object. Show that [Hint: By the Chain Rule, .] (b) Calculate . This limit is called the escape velocity for the Earth. (c) Use mi and fts to calculate in feet per second and in miles per second.
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