Calculate Force of Gravity on Space Station at Different Distances

AI Thread Summary
To calculate the force of gravity on a space station at various distances from Earth, the formula Fg = mg is applicable only at distances less than 100 km from the Earth's surface, yielding a force of 980,000 N at the surface. For distances beyond this, such as 1.28 X 10^5 km, 3.84 X 10^5 km, and 1.5 X 10^8 km from the center of the Earth, the gravitational force must be calculated using Fg = Gm1m2/r^2, where G is the gravitational constant, m1 is the mass of Earth, m2 is the mass of the space station, and r is the distance from the Earth's center. This approach accounts for the significant decrease in gravitational force as distance increases. The discussion emphasizes the importance of using the correct formula for varying distances to accurately determine gravitational force. Understanding these calculations is crucial for physics problems related to gravitational forces in space.
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Homework Statement



If the Earth radius is 6.4 X 10^3 km, calculate the force of gravity on a 1.0 X 10^5 kg space station situated
(a) Earth surface
(b) 1.28 X 10^5 km from the center of the earth
(c) 3.84 X 10^5 from the center of the Earth ( about the distance to the moon)
(d) 1.5 X 10^8 km from the center of the Earth ( about the distance of the sun)

Homework Equations


Fg = mg


The Attempt at a Solution



Question a

Fg= (100000)(9.8)
Fg= 980000

questions b - d have been attemped but have no idea on these please help
 
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Fg = mg only applies to objects less than 100 km from the Earth's surface. For b.,c., and d. you must use Fg = Gm1m2/r^2, where G is the gravitational constant, m1 and m2 are masses of Earth and satellite respectively, and r is the distance from the center of Earth to satellite.
 
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