science
posted by hannah .
Earths mass is 6 x 10^24kg and its radius is 6.38 x 10^6m
(6380 km ). Use the inversesquare law to show that in spaceshuttle territory, 200 km above the earths surface the force of gravity on a shuttle is about 94% of that at the earths surface.

science 
drwls
Let the acceleration of gravity at 200 km altitude be g' and the value at sea level be g. Then
g'/g = (6380/6580)^2 = 0.94013
The rounds off to 94%, to the nearest 1%.
Respond to this Question
Similar Questions

Physics Number 3 (Online w/ no teacher)
Many people mistakenly believe that the astronauts that orbit the Earth are “above gravity.” Calculate g for spaceshuttle territory, 200 kilometers above the Earth’s surface. Earths’ mass is 6 X 10 to the 24th and its radius … 
physics
with earths mass 6 x 10^24 kg and radius6.38 x 10^6, how does the inversesquare law show that in space shuttle territory, 200 km above earths surface, the force of gravity is about 94% that at Earths surface 
physics
the solid fuel rocket boosters used to launch the space shuttle are able to lift the shuttle 45 kilometers above earths surface. During the 2.00 min that the boosters operate, the shuttle accelerates from rest to a speed of nearly … 
space
What is the value of g for spaceshuttle territory , about 200km above the Earth's surface. Data: Earth's mass is 6x10^24kg, and radius is 6380 km 
Physics
The shuttle is orbiting the earth at a distance of 500km above the earths surface. Assumingan astronaut has a mass of 72kg, what is the force of gravity upon him or her? 
phys science
A space shuttle orbits at an altitude of approximately 200km above the surface of the Earth. If the radius of the Earth itself is 6380 km, what’s the acceleration due to gravity at the altitude of the space shuttle? 
Math
Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths Surface Space shuttle completes 220 degrees of a Revolution around earth in one day What is the average speed of the space Shuttle 
Math
Radius of earth 3,959 miles Space shuttle orbits 200 miles above earths Surface Space shuttle completes 220 degrees of a Revolution around earth in one day What is the average speed of the space Shuttle 
DVC
use the inverse square law to show that in space shuttle territory, 200 kilometers above 94 percent of that at earths surface? 
Physical Science
Many people mistakenly believe that the astronauts who orbit Earth are "above gravity." Earth's mass is 6×1024kg, and its radius is 6.38×106m (6380 km). Use the inversesquare law to find a height above Earth's surface at that the …