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Perry is floating in outer space. She is located somewhere on the direct line be

ID: 2253562 • Letter: P

Question

Perry is floating in outer space. She is located somewhere on the direct line between the centers of the Earth and Moon. She glances down at her instrument pack and sees that she is not accelerating. How far is she from the center of the Earth? Neglect other celestial bodies.

Perry is floating in outer space. She is located somewhere on the direct line between the centers of the Earth and Moon. She glances down at her instrument pack and sees that she is not accelerating. How far is she from the center of the Earth? Neglect other celestial bodies.

Explanation / Answer

Let it is at a Distance x from the center of the Earth


Therefore


GMem/x^2 = GMm*m/(d - x)^2


(5.97*10^24)/x^2 = (7.347*10^22)/(384400000 + 6370000 + 1737400 - x)^2


x = 4.41*10^8 m



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