Gravitation Universal Law of Gravitation 1570 287 BC 1915 1642 • Time lapse • https://www.youtube.com/watch?v =11sLusnVZwM&t=1s An Equation for the Force of Gravity Google “Phet gravity force lab” 1. Collect and analyze data to determine a relationship between: • The force of gravity and mass 1. • The force of gravity and mass 2. • The force of gravity and distance between their centers. 2. Use your findings from question 1 to determine mathematical formula relating the force of gravity to the following variables: mass 1, mass 2, and the distance between their centers. 3. Compare your answer to results online. This relationship is called “Newton’s Universal Law of Gravitation” 4. Submit your findings in Google Classroom. Gravitation Day 2 To Discuss: G and 𝑔Ԧ Gravitational Field https://www.youtube.com/watch?v=S2xPvOPRD_s &ab_channel=xmphysics Two objects, with masses m1 and m2, are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2m1 and 2m2, and the distance is changed to 4r. What is the magnitude of the new gravitational force? A)F/16 B)F/4 C)16F D)4F Warm- Up Question: Two objects, with masses m1 and m2, are originally a distance r apart. The magnitude of the gravitational force between them is F. The masses are changed to 2m1 and 2m2, and the distance is changed to 4r. What is the magnitude of the new gravitational force? A) F/16 B) F/4 C) 16F D) 4F A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth? A. B. C. D. g g/2 g/4 g/8 A hypothetical planet has a mass of half that of the Earth and a radius of twice that of the Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the Earth? A. B. C. D. g g/2 g/4 g/8 Scenario A student is given the following set of orbital data for some of Jupiter’s moons and is asked to use the data to determine the mass MJ of Jupiter. Assume that the orbits of these moons are circular. All done? Check with Mr. Donatelli, then move on to the gravitation assignment. Scenario A student is given the following set of orbital data for some of Jupiter’s moons and is asked to use the data to determine the mass MJ of Jupiter. Assume that the orbits of these moons are circular. All done? Check with Mr. Donatelli, then move on to the gravitation assignment. Gravitation Day 3 The area around a star where planetary surface temperatures could allow the pooling of water. In 2016 an exoplanet in the habitable zone was discovered. https://exoplanets.nasa.gov/ Exoplanets A geosynchronous satellite is one that stays above the same point on Earth, which is possible only if it is above a point on the equator. Used for radio, weather forecasting, and cell phone communication. What is the height of a geosynchronous satellite above Earth’s surface? ME= 6x1024 kg, RE=6.4x106 m What is the height of a geosynchronous satellite above Earth’s surface? ME= 6x1024 kg, RE=6.4x106 m What is the height of a geosynchronous satellite above Earth’s surface? ME= 6x1024 kg, RE=6.4x106 m To Do: Assignment questions If additional time permits Gravitation Last day before the Winter Break Dark Matter Minute Physics https://www.youtube.com/watch?v=Af0_vWDfJwQ Dark matter- From CERN Dark matter seems to outweigh visible matter roughly six to one, making up about 27% of the universe. Here's a sobering fact: The matter we know and that makes up all stars and galaxies only accounts for 5% of the content of the universe! Dark Energy • https://www.youtube.com/watch?v=QAa2O_8wBUQ&ab_channel=K urzgesagt%E2%80%93InaNutshell • Doppler effect General Relativity • General relativity Arvin Ash https://www.youtube.com/watch?v=tzQC3uYL67U
