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Transcript
Gravity Simulation
Introduction:
Every object around you is attracted to you. In fact, every object in the galaxy is
attracted to every other object in the galaxy. Newton postulated and Cavendish
confirmed that all objects with mass are attracted to all other objects with mass by a
force that is proportional to their masses and inversely proportional to the square of the
distance between the objects' centers. This relationship became Newton's Law of
Universal Gravitation. In this simulation, you will look at two massive objects and their
gravitational force between them to observe G, the constant of universal gravity that
Cavendish investigated.
Procedure: http://phet.colorado.edu/en/simulation/gravity-force-lab
1. Take some time and familiarize yourself with the simulation. Notice how forces
change as mass changes and as distance changes.
2. Fill out the chart below for various objects at various distances.
3. Solve for the universal gravitation constant, G and compare it to published values.
r2
𝐺 = 𝐹𝑔
m1 m2
Mass Object 1
Mass Object 2
Distance
53.30 Kg
72.20 Kg
4.0 m
60.00 Kg
50.00 Kg
4.0 m
60.00 Kg
50.00 Kg
6.0 m
30.00 Kg
50.00 Kg
6.0 m
Force
Gravitation
Constant, G
Published value of G = 6.67 *10 -11 Average Value of G ________________
How do the values compare? ____________________________________________________
Use the simulation to help you answer the following: (circle the answer)
1. Gravitational force is always attractive/repulsive.
2. IF a gravitational force exists between two objects, one very massive and one less massive, then the
force on the less massive object will be greater than/equal to/ less than the force on the more
massive object.
3. As the distance between masses decreases, force increases/decreases.
4. Doubling the mass of both objects would result in the change in force of 4x/2x/no change/ 𝟏𝟐x/ πŸπŸ’x
5. Doubling the distance between two objects will change the force of 4x/2x/no change/ 𝟏𝟐x/ πŸπŸ’x
Now go to the Gravity and Orbits simulation. Run several simulations, changing parameters as
you go. Answer the following questions:
http://phet.colorado.edu/en/simulation/gravity-and-orbits
1. What direction is the gravitational force of the orbiting object?
2. What direction is the velocity of the orbiting object?
3. If you turn gravity off, what happens? Why does this happen?
4. If you increase the mass of the Sun, what happens to the Earth?
5. If you decrease the mass of the Sun, what happens to the Earth?
6. Click on the Earth/satellite button. Increase the speed of the satellite. What
happens? Explain.
7. Decrease the speed of the satellite. What happens? Explain.
8. Move the satellite. Describe what happens. Can you create a stable orbit further
from the Earth? How did you do it?
9. Change the mass of the satellite only. Will this change the orbit of the satellite?
Why or Why not? Explain what happens.
10. The mass of the moon is 7.35x1022kg and the mass of the earth is 5.97x1024kg. The
moon’s orbit distance is 3.84x108m. What is the gravitational force on the moon by
the earth? What is the gravitational force of the earth on the moon?