AP PHYSICS 1 MY SOLAR SYSTEM LAB Purpose: Determine the Universal Gravitation Constant “G” for a virtual computer universe. Procedure: Use your web browser to navigate to My Solar System Phet at http://phet.colorado.edu/en/simulation/my-solar-system Click “Run Now” By varying the mass of the sun, the mass of the planet, and the velocity of the earth, create a perfectly circular orbit with the sun at the center of the circle. Use the “tape measure” to verify that the radius of the orbit is a constant distance from the sun. Use the timer and the “tape measure” to fill in the data table below. Create 3 other distinct solar systems (with perfectly circular orbit with the sun at the center of the circle) by varying either the mass of the sun, mass of the earth, or velocity of the earth. Data: Complete the table below with the data from all four solar systems. Solar System # 1 2 3 4 Radius of Orbit Period X 10 Mass of Sun Mass of Earth Analysis: Question 1: What net force is causing the centripetal force that makes the earth orbit the sun in circular motion? __________________ Use the appropriate circular motion equations to fill in the table below Solar System # 1 2 3 4 ๐ = 2๐๐ ๐ก = ๐๐๐๐๐๐๐1 ๐ฃ= ๐ ๐ก ๐๐ = ๐ฃ2 ๐ ๐น๐๐๐ก = ๐๐๐๐๐กโ ๐๐ Isaac Newton answered Question #1 for you. He determined that it was the force of gravity that caused planets and moons to travel in orbits. His theory led to the Law of Universal Gravitation, which can be expressed by the equation |→ | = ๐บ ๐น๐บ ๐1 ๐2 ๐2 For our solar system we can rewrite the equation to |→ | = ๐น๐๐๐ก = ๐บ ๐น๐บ ๐๐ ๐ข๐ ๐๐๐๐๐กโ ๐2 For each solar system that you created use algebra to calculate “G” which is called the Universal Gravitation constant and insert it into the table below. For our virtual computer world “G” will be different than the universe in which we live. Estimate for “G” Solar System 1 2 3 4 Average “G” for our lab __________________________________ Conclusion: Restate the purpose of the lab and whether we fulfilled it. Summarize what we did in the lab with sufficient detail to replicate. Discuss the relationships we noticed among the variables including masses, speeds, radii, centripetal acceleration, and force of gravity. Discuss 3 sources of error.