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Calculate the acceleration due to gravity at a point 1000km above the surface of the earth?

2 Answers

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Final answer:

The acceleration due to gravity at a point 1000km above the surface of the Earth can be calculated using the formula g = (GM) / (r^2) where G is the gravitational constant, M is the mass of the Earth, and r is the distance from the center of the Earth to the point of interest. Using this formula, you can find the precise acceleration due to gravity at that location.

Step-by-step explanation:

The acceleration due to gravity can be calculated using the formula:



g = (GM) / (r^2)



Where g is the acceleration due to gravity, G is the gravitational constant (approximately 6.67 x 10^-11 Nm^2/kg^2), M is the mass of the Earth, and r is the distance from the center of the Earth to the point of interest.



In this case, r = 1000km + radius of the Earth.



Using the average acceleration due to gravity of 9.80 m/s², we can calculate the value of g at that point.

User Oleg Fridman
by
6.0k points
1 vote

Answer:

g' = 6.74 m/s²

Step-by-step explanation:

R = 6400km

h = 1000km

g = 9.81m/s

g' = g(1 - 2h/R)

Goodluck

User Myrna
by
4.9k points