This satellite is about 3.79 × 10⁵ m above the surface of the earth
<h3>Further explanation</h3>
Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:
<em>F = Gravitational Force ( Newton )</em>
<em>G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )</em>
<em>m = Object's Mass ( kg )</em>
<em>R = Distance Between Objects ( m )</em>
Let us now tackle the problem !
<u>Given:</u>
orbital period of asteroid = T = (1 × 24 × 3600)/(15.65) ≈ 5.521 × 10³ s
mass of Earth = M = 5.972 × 10²⁴ kg
radius of Earth = R_earth = 6.371 × 10⁶ m
<u>Asked:</u>
height position of space station = h = ?
<u>Solution:</u>
<em>Firstly, we will calculate the orbital radius of the space station from centre of the Earth:</em>
<em>Next, we could calculate the height position of the space station:</em>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Gravitational Fields