Physics, asked by gonasumanthrao26, 1 year ago

Find the acceleration due to gravity when the height is 12,800 km from the earth when the radius is 6400​

Answers

Answered by adarshbsp903
0

Answer:

Newtons law of Gravitation states that the force of gravitational attraction between two bodies of mass M and m separated by a distance d, is proportional directly to the product of masses and inversely proportional to the square of the distance between them.

Newton's law of Gravitation: F = G M m / d²

G = Universal Gravitational constant = 6.674 * 10⁻¹¹ N m²/kg²

M = Mass of a body

m = mass of the 2nd body

d = distance between the centers of mass of the two bodies

Let R = radius of Earth = 6,400 km

h = altitude above Earth = 12,800 km

d = distance from center of Earth = 19,200 km

We know that on the surface of Earth, gravity is:

g = G M / R² = 9.81 m/s²

g' = acceleration due to gravity at distance d = G M / d²

=> g'/g = R²/d²

=> g' = g R² / d²

= 9.81 * 6400²/19200²

= 1.09 m/s²

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