What is the minimum speed needed for a cannonball to orbit the Earth?

AI Thread Summary
The discussion focuses on determining the minimum speed required for a cannonball to achieve orbit around the Earth when fired from a high altitude, specifically the top of Mount Everest. It emphasizes the need to analyze the gravitational force (Fg) in relation to the distance from the Earth's center (r), using a graph to illustrate this relationship. The conversation highlights the importance of ignoring air resistance and obstacles for the theoretical scenario. Participants are encouraged to utilize the universal gravitation equation to calculate the necessary speed for orbital motion. The goal is to establish a clear understanding of the physics involved in achieving orbital dynamics.
saan100
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1) Graph Fg vs. r
Fg on y-axis, r on x-axis (from 1re to 6re)

re (radius of the Earth)

2) If a cannon ball is fired from the top of Everest parallel to the Earth's surface fast enough (ignoring air resistance and assuming that it doesn't bump into anything), it will "orbit" the Earth and hit the back of the cannon that it was fired from. Find the speed required to do this.
 
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