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Circular Motion & Gravitation

Eleventh graders explore circular motion and gravity — why an object in a circle is always accelerating, how centripetal force keeps it curving, and how Newton’s law of universal gravitation governs orbits and falling apples alike.

Grade 11Mechanics55 minutes1 class period5E ModelExplicit teaching4 StandardsNGSS
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Explain centripetal acceleration.
  • ✓Explain centripetal force.
  • ✓Explain universal gravitation.
  • ✓Connect gravity to orbits.
Essential Question

The Moon has been “falling” toward Earth for billions of years — yet never hits it. How does gravity bend motion into an orbit, and why is circular motion always accelerated?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Explore · Interactive

Circular Motion & Gravity Check

Project each item and have students answer about circular motion and gravitation. The tool explains centripetal force and gravity.

🪐 Understand circular motion & gravitationTry it
Answer each question about circular motion and gravity.
The Lesson · 5E Instructional Model (Engage · Explore · Explain · Elaborate · Evaluate)

55 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Engage — The Falling Moon

5 min

The Moon is always “falling” toward Earth — so why doesn’t it hit?

👩‍🏫 Teacher Moves

  • Pose the Moon puzzle.
  • Ask what curves its path.
  • Pose the question.

🎒 Student Actions

  • See the puzzle.
  • Wonder the force.
  • Predict gravity.
2

Explore — Explore the Ideas

12 min

Students investigate.

👩‍🏫 Teacher Moves

  • Send students to the check.
  • Note centripetal force.
  • Note gravitation.

🎒 Student Actions

  • Answer them.
  • Note the force.
  • Note gravity.
3

Explain — Centripetal Force & Gravity

13 min

Students explain.

👩‍🏫 Teacher Moves

  • Explain centripetal acceleration.
  • Explain centripetal force.
  • Explain universal gravitation.

🎒 Student Actions

  • Explain acceleration.
  • Explain the force.
  • Explain gravity.
4

Elaborate — Orbits

15 min

Students elaborate.

👩‍🏫 Teacher Moves

  • Explain how orbits work.
  • Apply the inverse-square law.
  • Compare weight on planets.

🎒 Student Actions

  • Explain orbits.
  • Apply the law.
  • Compare weight.
5

Evaluate — Evaluate

5 min

Students conclude.

👩‍🏫 Teacher Moves

  • Explain centripetal force.
  • Explain gravitation.
  • Hand out the exit ticket.

🎒 Student Actions

  • Explain it.
  • Explain gravity.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Next Generation Science Standards (High School Physical Science / Physics).

NGSS
HS-PS2-4

Use Newton’s law of gravitation to describe and predict gravitational forces.

NGSS
HS-PS2-1

Analyze motion using Newton’s second law.

NGSS
HS-PS2-2

Predict the motion of objects.

NGSS
SEP-5

Using mathematics and computational thinking.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Centripetal-force diagram.
  • Sentence frame: “Gravity acts as the ___ force.”
  • Swing a ball on a string.

Support & Access

IEP / 504
  • Use a ball-on-a-string demo.
  • Focus on “pull toward center.”
  • Read the tool together.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Calculate gravitational force.
  • Apply the inverse-square law.
  • Explain Kepler’s laws.
Materials

What to gather

  • 📽️Projector / board
  • 🪀A ball on a string
  • 💻Circular Motion & Gravity Check
  • 🌍A globe/orbit model
  • 🧮Calculators
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

circular motionmoving in a circular pathcentripetal accelerationacceleration toward the centercentripetal forcea center-seeking forcegravitationthe attractive force between massesuniversal gravitationNewton’s law of gravityorbita curved path around a massinverse-square lawforce weakens with distance squaredvelocityspeed with direction
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
Why is an object in circular motion at constant speed still accelerating?
Because its direction (and thus its velocity) is constantly changing.
QUESTION 2
What force keeps a satellite in orbit?
Gravity, acting as the centripetal force.
QUESTION 3
According to universal gravitation, what happens to the force if you double the distance between two objects?
It becomes one-quarter as strong (inverse-square law).

Elaborate: weight on other planets.

Have students use gravitation to explain why you would weigh less on the Moon and more on Jupiter. A printable gravitation sheet is in the Science library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Circular Motion & GravitationFlip
Card 1
Term
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Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Circular Motion & GravitationQuiz
Score: 0
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Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Circular Motion & GravitationPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: centripetal acceleration, centripetal force, circular motion, gravitation, inverse-square law, orbit, universal gravitation, velocity
  1. acceleration toward the center
  2. moving in a circular path
  3. a center-seeking force
  4. speed with direction
  5. a curved path around a mass
  6. Newton’s law of gravity
  7. force weakens with distance squared
  8. the attractive force between masses

Part B · Show what you learned

  1. Why is an object in circular motion at constant speed still accelerating?
  2. What force keeps a satellite in orbit?
  3. According to universal gravitation, what happens to the force if you double the distance between two objects?
Answer key — Part A: 1) centripetal acceleration · 2) circular motion · 3) centripetal force · 4) velocity · 5) orbit · 6) universal gravitation · 7) inverse-square law · 8) gravitation
Part B: 1) Because its direction (and thus its velocity) is constantly changing. 2) Gravity, acting as the centripetal force. 3) It becomes one-quarter as strong (inverse-square law).