Universal Gravitation Equation and Graphing Calculator

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The discussion focuses on using Newton's law of universal gravitation to formulate an equation relating an object's distance from Earth's center (x) to its gravitational acceleration (y). The equation is structured as y = c(1/x^2), where the graph is to be plotted for distances between 6400 km and 6600 km, with corresponding gravitational accelerations between 9 m/s² and 10 m/s². Specific calculations are requested for gravitational acceleration at sea level (6400 km), atop Mt. Everest (6410 km), in a typical satellite orbit (6500 km), and in a higher orbit (6600 km). Participants are encouraged to reference external resources for foundational understanding. The overall goal is to graph and analyze the relationship between distance and gravitational acceleration.
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Homework Statement



Use Newton's law of universal gravitation to find an equation where x is equal to an object's distance from Earth's center, and y is its acceleration due to gravity. Use a graphing calculator to graph this equation, using 6400-6600 km as the range for x and 9-10 m/s2 as the range for y. The equation should be of the form y = c(1/x2).
(a) Trace along this graph and find y at sea level, 6400 km.


(b) Trace along this graph and find y on top of Mt. Everest, 6410 km.


(c) Trace along this graph and find y in a typical satellite orbit, 6500 km.


(d) Trace along this graph and find y in a much higher orbit, 6600 km.


i got no idea how to solve any help or the answers would help greatly
 
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For a start you could read
http://csep10.phys.utk.edu/astr161/lect/history/Newtongrav.html

G= universal gravitational constant
M = mass of Earth (a constant)
m = mass of your object (a constant)
g = gravitational acceleration experienced by the object (a variable)
r = distance of object from the centre of the Earth (a variable)

G*M*m/r*r = m*g

<< complete solution deleted by berkeman >>
 
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