### Transcription for Educational Website#### Table: Force and Ratio of Force at Various Distances| **Location of Mass 2** | **Force** | **Ratio of Force** ||------------------------|-----------------|--------------------|| 1 meter | \(6.67 \times 10^{-9}\) | 1.0 || 2 meters | \(1.67 \times 10^{-9}\) | 3.99 || 3 meters | \(7.42 \times 10^{-10}\) | 8.99 || 4 meters | \(4.17 \times 10^{-10}\) | 11.59 || 5 meters | \(2.67 \times 10^{-10}\) | 24.9 || 6 meters | \(1.95 \times 10^{-10}\) | 3.60 || 7 meters | \(1.36 \times 10^{-10}\) | 4.90 || 8 meters | \(1.04 \times 10^{-10}\) | 6.41 || 9 meters | \(8.24 \times 10^{-11}\) | 8.09 |#### Observational Questions:- What do you notice about the **"Ratio of forces"** when the distance between the two masses doubles? Triples? Increases four-fold? - What would you expect the ratio to be if the distance increased by ten times?This table and the observations are designed to help understand how the gravitational force between two masses changes with distance, based on the inverse square law. As the distance increases, observe how the force and its ratio change, inviting inquiry into Newton's law of universal gravitation.

The concept governing the question is that the Force is inversely proportional to the square of the…

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Force Ratio of force Location of Mass 2 (6667x10:9 16子メ10.9 1.42x10-10 4.17x10 10 2.67x10" 1.0 1 meter 3.99m 8.99 2 meters 3 meters 4 meters 01- -10 249 3.60 490 5 meters 6 meters 7 meters <-10 1.04X10 8 meters 8.09/2 -11 9 meters