calculate the value of g at 1000m above the surface of the earth. The radius of the earth is 6378.1km
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F = G m M/R^2
so
g at R= 6379.1 k = 9.81 * (6378.1km/6379.1)^2
6379.1
6.27×10^7
calculat
calculate the value of g at 1000m above the surface of the earth. the radius of the earth is 6378.1 km.
Caluculet the valueof g at 1000m above the surface of the earth the radius of the earth is 6378.1 km
To calculate the value of the acceleration due to gravity (g) at a certain height above the Earth's surface, you can use the formula:
g = G * (M / r^2)
where:
- G is the gravitational constant, approximately 6.67430 x 10^-11 N m^2 / kg^2
- M is the mass of the Earth, approximately 5.972 x 10^24 kg
- r is the distance from the center of the Earth to the location (including the Earth's radius)
To calculate g at 1000m above the surface of the Earth, you need to convert the radius of the Earth from kilometers to meters and add 1000m to it.
Step 1: Convert the radius of the Earth from kilometers to meters:
6378.1 km * 1000 m/km = 6,378,100 m
Step 2: Add 1000m to the radius of the Earth:
6,378,100 m + 1000 m = 6,379,100 m
Step 3: Calculate g:
g = (6.67430 x 10^-11 N m^2 / kg^2) * (5.972 x 10^24 kg) / (6,379,100 m)^2
By plugging these values into a calculator or using a mathematical software, you can find the value of g at 1000m above the Earth's surface.