The Great Gravity Escape
Engineers and scientists make amazingly precise calculations so that a spacecraft's journey is timed exactly to reach the location where a planet will be at that time. Since Earth and Mars are always orbiting in their own paths, space travel from Earth to Mars might be compared to shooting a basketball into a moving hoop while standing on a moving platform. This requires that engineers think logically and use their math skills to forecast exactly where a planet will be located many months in the future.
NGSS AlignmentThis lesson helps students prepare for these Next Generation Science Standards Performance Expectations:
- MS-ESS1-2. Develop and use a model to describe the role of gravity in the motions within galaxies and the solar system.
|Science & Engineering Practices||Disciplinary Core Ideas||Crosscutting Concepts|
|Science & Engineering Practices||Developing and Using Models.
Develop and use a model to describe phenomena.
||Disciplinary Core Ideas||ESS1.A: The Universe and Its Stars.
Earth and its solar system are part of the Milky Way galaxy, which is one of many galaxies in the universe.
ESS1.B: Earth and the Solar System. The solar system consists of the sun and a collection of objects, including planets, their moons, and asteroids that are held in orbit around the sun by its gravitational pull on them.
The solar system appears to have formed from a disk of dust and gas, drawn together by gravity.
|Crosscutting Concepts||Systems and System Models.
Models can be used to represent systems and their interactions.
Scientific Knowledge Assumes an Order and Consistency in Natural Systems. Science assumes that objects and events in natural systems occur in consistent patterns that are understandable through measurement and observation.
After this activity, students should be able to:
- Explain that an orbit is the balancing of the object's velocity with the gravitational force.
- Relate the increase in velocity of an orbiting object with the object getting farther away.
- Articulate that to escape the Earth's gravity, engineers must design and build huge rockets.
- Describe how gravity is still acting on an object that is in orbit.
NGSS AlignmentPerformance Expectations
- MS-ESS1-2. Develop and use a model to describe the role of gravity in the motions within galaxies and the solar system.
- Develop and use a model to describe phenomena.
- Earth and its solar system are part of the Milky Way galaxy, which is one of many galaxies in the universe.
- The solar system consists of the sun and a collection of objects, including planets, their moons, and asteroids that are held in orbit around the sun by its gravitational pull on them.
- The solar system appears to have formed from a disk of dust and gas, drawn together by gravity.
- Models can be used to represent systems and their interactions.
- Science assumes that objects and events in natural systems occur in consistent patterns that are understandable through measurement and observation.
Each group needs:
- 1 water balloon
- 5 ft (1.5m) length of twine or string
- 1 clothes pin (the type with metal springs)
- 1 stop watch
- Orbiting Water Balloons Worksheet
Gravity is an attractive force between two objects. All things that have mass are attracted to other things that have mass. Do you think gravity is acting on an astronaut orbiting around the Earth? (Answer: Yes, Gravity is present; but, you cannot see or feel it.) You might not think gravity is acting on astronauts because when we see videos from space, everything is floating around. However, this does not mean gravity is not acting on the people in a spaceship. There is still gravity, but in an orbit, the tendency of an object to move toward the center is perfectly balanced by the spacecraft's tendency to continue in a straight line away from the planet.
What do you think would happen if a spacecraft orbiting the Earth kept speeding up? Would the spacecraft get closer or further from Earth? (Answer: Further) As the velocity of the spacecraft speeds up, it wants to keep going past and away from the Earth, which means gravity has a harder time keeping the spacecraft close and therefore the spacecraft enters an orbit that is further from the Earth. If the spacecraft continues to speed up, it will eventually be able to leave the Earth's orbit. This is exactly what happens when we send a spacecraft to another planet, such as Mars. It takes a lot of energy to get enough velocity to "escape the Earth's gravity," however, once a spacecraft has done this, it can coast to Mars and only have to fire its rockets one more time to slow down as it approaches Mars. In reality, the spacecraft has not actually escaped the Earth's gravity, but it has gotten far enough away that it is not the largest gravitational force acting on our spacecraft any more. Do you know which gravitational force becomes the largest force once a spacecraft has gotten far enough away from the Earth? (Answer: The Sun's gravity takes over once the spacecraft has left the Earth's orbit.) Figure 1 illustrates the path of a spacecraft traveling in an elliptical transfer orbit from Earth to Mars; it shows that the path from the Earth to Mars is not a straight line since the spacecraft is actually orbiting around the Sun.
In today's activity, we will use water balloons to demonstrate how an orbit is the balance between gravity and the velocity of the spacecraft. We will see that once an object is traveling fast enough, the orbiting object can "escape" from the gravitational pull of the planet.
Before the Activity
- Cut one 5-foot length of twine for each group.
- Thread one end of the twine through the metal spring on the clothes pin and tie a double knot in it so that the clothes pin hangs from the end of the twine.
- Fill water balloons with ~100 grams of water, making the balloons about 2 inches in diameter. Fill two balloons, or more, per group (one for the activity and one for a spare). Temporarily store balloons in a plastic bucket.
- Make enough copies of the Orbiting Water Balloons Worksheet, one per group.
- Find a place outside where teams have at least 20 feet (6 m) clear in all directions around them. The more space provided, the safer the activity. (Note: A football/practice field or large lawn area works well.)
With the Students
- Tell the students that today they will use water balloons to learn about orbits.
- Explain to them that they will each represent a planet, and a water balloon — connected to a string that they will use to swing the balloon around them — represents an orbit.
Remind them that they learned that an object that is moving wants to travel in a straight line. For an object to turn, a force must act on it. The Earth's gravitational force is the acting force that turns the object, creating the elliptical (curved) path of an orbiting object. To change the path of their water balloons, they must apply force to the balloons. In this case, the tension in the string represents the gravity that keeps an object in orbit. See Figure 2 for a drawing of the experiment set-up.
- Hold up one length of twine that already has the clothes pin attached. Demonstrate how to carefully clip the balloon onto the clothespin.
- Ask the students: What will happen if you begin spinning the balloon around yourself — faster and faster? (Answer: The clothes pin will eventually let go of the balloon.) Why does this happen? (Answer: As the balloon spins faster the clothes pin cannot apply the force necessary to keep the balloon in orbit and it lets go. Once this happens, the balloon travels in a straight line, according to Newton's first law of motion.)
- Pass out to each group a worksheet, stop watch and string with clothes pin attached.
- Move students outside to a pre-selected space with adequate room for them to spread out and do the activity.
- Now give groups each one water-filled balloon and tell them to securely attach the ends of the balloons to their clothes pins.
- Have one group member stand in the middle of a designated open area while the remainder of the group stands back at least 20 feet.
- Have the students with the strings and balloons start swinging the balloons slowly around their bodies so they are moving just fast enough to keep the balloons a few feet above the ground.
- Have another student use the stop watch to time 10 seconds. While this person is timing, have the remaining students count how many times the balloon goes around in those 10 seconds. Record this number on the worksheets.
- Have the students who are swinging the balloons speed up their balloons slightly.
- Have the other students repeat counting the number of rotations in 10 seconds intervals.
- Repeat steps 10 and 11 until the balloons come off the clothes pin.
- Now have the students rotate roles, so that every student has a chance to be a planet with a balloon in orbit.
- Once all teams have finished, have them come back inside and calculate the escape velocities, using the worksheets.
- Conclude with a class discussion to compare calculations and results. Conduct the post-activity assessment activity described in the Assessment section.
Discussion Questions: Solicit, integrate and summarize student responses.
- Sketch a planet (a circle) with a "spacecraft launcher" on top of it (a stick figure with a tube). Ask students to sketch the path the spacecraft travels if it is: a) thrown from the tower like a glider; b) launched into the sky like a plane, but runs out of fuel near where planes fly ~7 miles up; c) launched with enough velocity to enter orbit around the Earth and fly near the International Space Station; or d) launched with enough velocity that it escapes an orbit around Earth and lands on Mars. [Answers: a) The spacecraft falls to the ground; b) The spacecraft makes an arc, but crashes (or lands) back on Earth; c) The spacecraft enters orbit around the Earth, and d) The spacecraft escapes an orbit around Earth, but still orbits around the Sun (remember that all things that have mass have gravity between them).]
- Is there gravity in space? (Answer: Since space is a weightless environment, it seems like there is no gravity, but there actually is gravity in space! When a spaceship is in orbit, gravity and the velocity of the spaceship are exactly balanced.)
Predictions: Ask students to predict how the planet and orbit will interact with each other prior to starting the activity.
Activity Embedded Assessment
Worksheet: Have student teams use the attached Orbiting Water Balloon Worksheet for instructions, recording measurements and making calculations. Review their answers to gauge their mastery of the subject.
Numbered Heads: Divide the class into teams of three to five students each. Have students on each team number off so each has a different number. Ask the students a question and give them a short time frame for solving it (~1 minute). Have team members work together on the answer and make sure everyone on the team knows it. Call a number at random. Students with that number should raise their hands to answer the question. If not all students with that number raise their hands, give the teams time to work a little longer. Example questions:
- What is the force that pulls objects towards the center of the Earth? (Answer: Gravity)
- Which of Newton's laws tells us that an object in motion tends to stay in motion and that the only way for an object to slow down, speed up, or turn is if a force acts on the object? (Answer: Newton's first law of motion.)
- True or False: There is no gravity in space. (Answer: False)
- What happens as the spacecraft speeds up? (Answer: The spacecraft eventually overpowers the gravitational pull of the Earth and leaves the Earth's orbit.)
- An orbit is the balance between the velocity of the object and what force? (Answer: The planet's gravitational force.)
- As velocity decreases, the object gets closer/further from Earth? (Answer: Closer)
- True or False: This activity's scenario also applies to the forces that exist between the Sun and planets. (Answer: True, the attractive force of gravity between the Sun and a planet and the velocity of the planet are both responsible for its orbit.)
Make sure students stand a sufficient distance away from the swinging water balloons and that they pay attention to the other students as they perform the experiment.
To keep from getting dizzy, have students use lasso motions over their heads to swing their balloons, instead of turning their entire bodies.
- Make sure the balloons are well secured by the clothes pins. This ensures that the balloons do not come off the strings too early. If students cannot handle water balloons, find another object that is soft, but also weighs around 100 grams, such as a wiffle- or sponge-type ball.
- Keep one important detail in mind when comparing the string to the force of gravity on a spacecraft. In space, the distance from the planet (diameter of orbit) would get larger as a spacecraft speeds up. (Ask the class: Does the string get longer as you spin faster? Answer: No!) In this activity, the string does not get longer as a water balloon is spun faster. The orbital escape velocity of the spacecraft, the velocity at which the gravity between the objects can no longer hold them together, is achieved when the clothespin releases and the balloon flies off.
Have students weigh different balloons and see if they can find a relationship between the mass of the balloon and the escape velocity. The students should see that a heavier balloon releases at a lower velocity. (Note: To see this result, the mass of the larger balloon must be significantly heavier — at least 50%.) In addition, how does decreasing or increasing velocity change the effect of gravity on an object? Teachers should stress to students that only one variable should be changed during each iteration of the model and that students must document how the variable has been changed. Students should be encouraged to predict the effects of these changes prior to implementing them.
Wertz, James R. and Larson, Wiley J. Space Mission Analysis and Design, Third Edition, Space Technology Library, Volume 8, New York, NY: Publishing Company, 1999.
Copyright2004 by Regents of the University of Colorado.
Malinda Schaefer Zarske
Timothy M. Dittrich
Supporting ProgramIntegrated Teaching and Learning Program, College of Engineering, University of Colorado Boulder
The contents of this digital library curriculum were developed under a grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education, and National Science Foundation GK-12 grant no 0338326. However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.