Physics 171 Lab 8: Gravitational Force and Universal Gravitational Constant, G In this lab, you will use the Gravity Force Lab PhET Simulation to investigate what factors affect the gravitational force between two objects and experimentally determine the Universal Gravitational constant, G,(Accepted value). Force of gravity formula (Law of Universal Gravitation): F = G M1 M2 d2 INSTRUCTIONS: Open up the Gravity simulation on the PhET website. https://phet.colorado.edu/sims/html/gravity-force-lab/latest/gravity-force-lab_en.html 0 maters 1 2 5 9 10 Mass 1 Mass 2 Show values 38 kg 25 kg Gravity Force Lab PHET = To become familiar with the simulation, move the figures back and forth. Also change the massTo become familiar with the simulation, move the figures back and forth. Also change the mass of the spheres. Observe What happens to the force with each change. Note the units of each value in your data table. 1, 2. DJ 53$\":b Choose a mass for each sphere and record the values in the data table for m1 and m2. Record the distance between the spheres on data table for d. Distance will be from center to center. Record the force between two spheres on the data table for F1: and F31_ Repeat the procedure and fill out the rest of data table. Graph F13 vs d. Graph F13 vs m1*m2/d"2. Remember to show the equation on the graph to be able to find the slope of the graph. Answer the additional questions. Data and Results Sheet Data Table: m1 m2 d d"2 m1*m2 F31 F12 m1* m2/d"2 (Unit) (Unit) (Unit) (Unit) (Unit) (Unit) (Unit) (Unit) 100 400 4 16 2,500 6.05*10"-7 1.67*10"-7 156.25 100 400 6 36 1,111.11 6.05*10"-7 6.05*10"-7 30.87 100 400 8 64 625 7.42*10"-8 6.67*10"-7 9.77 100 400 10 100 400 4.17*10A-8 667* lO"-7 4 Results: Is F12 vs d graph linear? If yes, What is the slope of the graph? If no, What is the shape of the graph? Is F12 vs m1*m2/d\"? linear? If yes, 'IT'LA4 :. :4- -1A_n") If yes, What is its slope? What is the accepted value? %error If no, what is the shape of the graph? Additional Questions 1. How does the changing the separation of the objects affect the force between them? (Increases, decreases, not affected). Is this what you expected from Newton's Law of Universal Gravitation? 2. What happens to the force between the objects when mass 1 increases? (Increases, decreases, not affected). Is this What you expected from Newton's Law of Universal Gravitation? 3. What happens to the force between the objects if Mass 2 decreases? (Increases, decreases, not affected). Is this what you expected from Newton's Law of Universal Gravitation? 4) How did F13 compare to F31? Is this What you expected from Newton's Law of Universal Gravitation? Why