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PLANETARY MOTION: A student obtained the graph below after plotting the values of square of distance and force between two spheres. What does the graph implies? Force and Distance between two spheres 50 **** 0 140 43101 30 10 20 SQUARE OF DISTANCE The distance between the spheres is getting further as time goes by It needs to be reviewed because it lacked a line drawn between the points This shows the inverse square law of distance and force There was no consistency with plotting the points FORCE 250 200 150 100

PLANETARY MOTION: A student obtained the graph below after plotting the values of square of distance and force between two spheres. What does the graph implies? Force and Distance between two spheres 50 **** 0 140 43101 30 10 20 SQUARE OF DISTANCE The distance between the spheres is getting further as time goes by It needs to be reviewed because it lacked a line drawn between the points This shows the inverse square law of distance and force There was no consistency with plotting the points FORCE 250 200 150 100

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**Planetary Motion: Understanding the Relationship Between Distance and Force** **Introduction:** The graph presented below displays a key concept in planetary motion, illustrating the relationship between the square of the distance and the force between two spheres. Let's delve into the implications of this graph and what it reveals about the forces at play in such interactions. **Graph Explanation:** The graph is titled "Force and Distance between two spheres." It plots the force (on the y-axis) against the square of the distance between the two spheres (on the x-axis).Here are the key features and trends observed in the graph: - **Force (Y-axis):** measured on a scale from 0 to 250 units. - **Square of Distance (X-axis):** measured on a scale from 0 to 60 units. **Graph Analysis:** - The data points on the graph form a downward trend starting high on the y-axis and decreasing as the values on the x-axis increase. - Initially, for smaller values of the square of the distance, the force is significantly higher. - As the square of the distance increases, the force decreases rapidly, indicating an inverse relationship. **Conclusion:** Based on the analysis of the plotted data points, the graph suggests a clear inverse relationship between the squared distance and the force, signifying the **inverse square law of distance and force**. This law is a fundamental principle in physics, particularly in gravitational and electrostatic forces, stating that the force between two particles is inversely proportional to the square of the distance between them. **Quiz Question:** What does the graph imply? - The distance between the spheres is getting further as time goes by. - It needs to be reviewed because it lacked a line drawn between the points. - This shows the inverse square law of distance and force. - There was no consistency with plotting the points. **Correct Answer:** This shows the inverse square law of distance and force. Understanding and interpreting this graph is critical in grasping the fundamental concepts governing planetary motion and the forces acting at a distance. Such insights are foundational in fields like astronomy, physics, and engineering.
Transcribed Image Text:**Planetary Motion: Understanding the Relationship Between Distance and Force** **Introduction:** The graph presented below displays a key concept in planetary motion, illustrating the relationship between the square of the distance and the force between two spheres. Let's delve into the implications of this graph and what it reveals about the forces at play in such interactions. **Graph Explanation:** The graph is titled "Force and Distance between two spheres." It plots the force (on the y-axis) against the square of the distance between the two spheres (on the x-axis).Here are the key features and trends observed in the graph: - **Force (Y-axis):** measured on a scale from 0 to 250 units. - **Square of Distance (X-axis):** measured on a scale from 0 to 60 units. **Graph Analysis:** - The data points on the graph form a downward trend starting high on the y-axis and decreasing as the values on the x-axis increase. - Initially, for smaller values of the square of the distance, the force is significantly higher. - As the square of the distance increases, the force decreases rapidly, indicating an inverse relationship. **Conclusion:** Based on the analysis of the plotted data points, the graph suggests a clear inverse relationship between the squared distance and the force, signifying the **inverse square law of distance and force**. This law is a fundamental principle in physics, particularly in gravitational and electrostatic forces, stating that the force between two particles is inversely proportional to the square of the distance between them. **Quiz Question:** What does the graph imply? - The distance between the spheres is getting further as time goes by. - It needs to be reviewed because it lacked a line drawn between the points. - This shows the inverse square law of distance and force. - There was no consistency with plotting the points. **Correct Answer:** This shows the inverse square law of distance and force. Understanding and interpreting this graph is critical in grasping the fundamental concepts governing planetary motion and the forces acting at a distance. Such insights are foundational in fields like astronomy, physics, and engineering.
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