HS PhysicTransfer Task

"1HS Physics Unit 3 Lesson 2 Transfer Task Based on the lessons in class, Terrion and Mia were talking about gravity. They had the following discussion: Terrion: Hold up, based on what we figured out about gravity, it sounds like if | lived on top of a mountain, I'd be able to jump higher. | wonder if | could finally dunk... Mia: But your mass wouldn't change on top of a mountain, so you wouldn't be able to jump any higher than usual. Terrion: True, but the Law of Universal Gravitation says that distance affects gravitational force. Mia: | think that is only for big distances like between planets and satellites. If you're standing on a mountain you're still standing on the surface of the Earth. Terrion: Maybe we can figure this out with a calculation. To gather evidence to evaluate each of their ideas, they decided to do some calculations. They drew the two situations shown below and did some research to figure out how tall the highest mountain is and how far away from the Earth's core both Chicago and the peak are. Standing in Chicago Standing on top of Mount Everest Height of Mount Everest : % \\B.Ngm Radius of the Eah, ' 6,371,000m Radis of the Earn 6,371,000 m EARTH EARTH Terrion's distance from the center of the Earth: N ) 6,371,000 m Terrion's distance from the center of the Earth: 6,379,849 m Based on their drawings, Terrion and Mia came up with two claims: Terrion: If the Law of Gravitation says that the distance between objects impacts the gravitational force, | think I will feel less gravitational force if | stand on top of a mountain. This means | will be able to jump higher on Mount Everest compared to Chicago. mae @@ A Fenuug. Mia: Terrion will feel the same gravitational force whether he is standing in Chicago or on Mount Everest because he is still standing on the surface of the Earth. | don't think Terrion will be able to jump higher on Mount Everest. 1. Some information about the theoretical set up shown above is in the table below. Use this information to calculate the gravitational force acting on Terrion when he is standing in Chicago and the gravitational force acting on him when he is standing on the top of Mount Everest. Gravitational Mass of the | Mass of Terrion Distance Distance Constant (G) Earth (kg) (kg) between the between the center of the center of the Earth and Earth and the Chicago (m) top of Mount Everest (m) 6.67 x 10" Nm?*/kg 5.97 x 10* : 6,357,000 6,379,849 Calculation 1 - Standing in Chicago Calculation 2 - Standing on the top of Mount Everest 2. Based on your calculations above, which claim would you support? In your response, be sure to... a. Use the mathematical relationships from the Law of Universal Gravitation to justify your explanation. b. Include specific evidence from your calculations to support your explanation