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NAME: Newton's Law of Universal Gravitation Name:_____________________________ Newton's law of universal gravitation states that any two bodies in the universe attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them Your goal is to calculate the gravitational force exerted, by two objects, on each other. Fg is: M1 is: G is: M2 is: R2 is: Directions: Use the equation above to determine the force between the two objects for each problem Example: Mass (kg) Distance from each other, from center of object (meters) Force Object 1: Shell Object 2: Floro Work: Do these second: Additional Problems: Cynthia is standing on the surface of the Earth while Joe is half way to the center of the Earth (it's pretty hot down there, and is magically still able to survive & gets cell phone service). Joe calls Cynthia & says he feels approximately double the gravity that she does. Is he right? Use Newton's Law of Universal Gravitation to confirm or debunk Joe’s statement OR draw a diagram and write an explanation. NAME: Graphing: 1. Graph your data in google sheets. First, make a graph of the product of the masses as one of your variables and the force of gravity as your other variable. Sketch your graph below. Label your axes. 2. Describe the relationship between the two variables 3. Is the relationship linear, nonlinear or is there no relationship? Explain your answer. 1. Graph your data in google sheets. Next, make a graph of the distance between the two objects as one of your variables and the force of gravity as your other variable. Sketch your graph below. Label your axes. 2. Describe the relationship between the two variables 3. Is the relationship linear, nonlinear or is there no relationship? Explain your answer. NAME: Do these First: Mass (kg) 1 2 3 4 5 Work: Object 1: Sun 1.989x1030 Object 2: Earth 5.972x1024 Object 1: Jupiter 1.898x1027 Object 2: Earth 5.972x1024 Object 1: Moon 7.3477x1022 Object 2: Earth 5.972x1024 Object 1: Pluto Object 2: Earth Object 1: Miss Floro Object 2: Earth 1.309x1022 5.972x1024 52 5.972x1024 Product of 2 masses (kg2) *will need for graph Distance from each other, (meters) 1.496x1011 5.874x1011 3.844x108 7.5156x1012 1.2742x107 Force (N)