communication satellites are placed at an altitude of about 25,000 mi above the surface of the earth. find the acceleration due to gravity at this altitude. (

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The acceleration due to gravity at this altitude is  1.26×10¹⁹m/s².

What kind of acceleration results from gravity?

Gravitational acceleration is the acceleration that an object experiences as a result of the gravitational field. It has the SI unit m/s². It is a vector quantity because it has both magnitude and direction. g is a unit used to measure gravitational acceleration. 9.8 m/s² is the standard value of g at sea level on the surface of the earth.

Newton's law of gravitation states that the acceleration can be calculated by

a = G M/r², where G is the Universal Gravitational constant 6.67 x 10⁻¹¹, M is the mass of the Earth 5.97 x 10²⁴ kg, and r is the distance from the center of the Earth 6.38 x 10⁶ m.

The attitude above the surface must be multiplied by the Earth's radius to determine r.

r = 25km + 6.38 x 10⁶ = 31.38x10⁶

a =  6.67 x 10⁻¹¹ × 5.97 x 10²⁴/ 31.38x10⁶

a = 3.98×10¹⁴/ 31.38x10⁶

a = 1.26×10¹⁹m/s².

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