Final answer:
By applying Newton's law of universal gravitation and manipulating the equation to solve for the distance between two satellites, students can find the exact distance at which a specific gravitational force is experienced between them.
Step-by-step explanation:
The student has asked to determine the distance between two satellites experiencing a gravitational force of 3.60 x 10-7 N between them, with one satellite having a mass of 9,000 kg and the other having a mass of 6,000 kg. To find the distance, we can use Newton's law of universal gravitation which states that the force between two masses is equal to the gravitational constant times the product of the two masses divided by the square of the distance between their centers (F = G * (m1 * m2) / r2). The gravitational constant is approximately 6.674 x 10-11 N m2/kg2.
To solve for the distance (r), we can rearrange the formula as r = sqrt(G * (m1 * m2) / F). Plugging in the given values (m1 = 9,000 kg, m2 = 6,000 kg, F = 3.60 x 10-7 N), and solving for r, students will be able to calculate the exact distance between the two satellites and thus experience the application of Newton's law in a real-world scenario.