## Learning Outcomes for Circular and Satellite Motion

The list below displays sample learning objectives for the unit on Work and Energy. The various activities from the Lesson Plans have been organized by objective. This format of organizing The Physics Classroom's activities may be more useful to some teachers than the Lesson Plan format. It is worth noting that the activities identified below only include those activities included on the Lesson Plans and in the Pre-Built Task Tracker courses. Additional activities are referenced on the Teacher Notes page.

### 1. Velocity and Acceleration for Moving in Circles

Describe the direction and magnitude of the velocity and acceleration vectors for an object moving in uniform circular motion; explain how a constant speed object can have an acceleration.

Video:

Labs:
Lab 1 - Making the Turn

Think Sheets:

Physics Interactives with Concept Checkers:

Concept Builders:

Minds On Physics:
Mission CG1 on Speed and Velocity

Mission CG2 on Acceleration and Net Force

### 2. The Centripetal Force Requirement

Identify the direction of the net force on an object moving along a circular or curved path; predict the relative magnitude of the inward force and outward force (if present) at key locations along the path; relate the law of inertia to the sensation of being pulled outward while moving along a circular path.

Video:

Labs:
Lab 2: Loop the Loop

Think Sheets:

Physics Interactives with Concept Checkers:

Minds On Physics:
Mission CG2 on Acceleration and Net Force

Mission CG3 on Centripetal Force and Inertia

Mission CG4 on Centripetal Force Requirement

### 3. Force Analysis of Circular Motion Situations

Construct a free-body diagram for an object moving in a horizontal or vertical circle and use it along with mathematical equations to predict the value of a force, acceleration or circular motion quantity.

Video:

Think Sheets:

Concept Builders:

Minds On Physics:
Mission CG5 on Mathematical Analysis of Circular Motion

Circular and Satellite Motion 1: Newton's 2nd Law Analysis

Circular and Satellite Motion 2: Newton's 2nd Law Analysis

Circular and Satellite Motion 3: Newton's 2nd Law Analysis

### 4. Universal Gravitation

Explain the "universal" of Newton's law of universal gravitation, use the equation to calculate the gravitational force, and use the inverse square relationship to predict how a variation in distance or mass affects the gravitational force.

Video:

Think Sheets:

Physics Interactives with Concept Checkers:

Concept Builders:

Minds On Physics:
Mission CG6 on Universal Gravitation

Circular and Satellite Motion 4: Orbital Mathematics

Circular and Satellite Motion 5: Orbital Mathematics

### 5. Gravitational Field Strength

Derive the equation for gravitational field strength (g) from the universal gravitation equation and describe the variables that affect the value of g at any given location; calculate the value of g when given sufficient information.

Video:

Think Sheets:

Concept Builders:

Circular and Satellite Motion 4: Orbital Mathematics

Circular and Satellite Motion 5: Orbital Mathematics

### 6. Satellite Motion

Describe what a satellite is, provide examples of satellites, and describe the relative magnitude and direction of the velocity, acceleration, and net force vectors for both circular and elliptical orbits.

Video:

Think Sheets:

Physics Interactives with Concept Checkers:
Minds On Physics:
Mission CG8 on Satellite Motion

### 7. Orbital Mathematics

Combine universal gravitation equations and circular motion equations to analyze the motion of orbiting satellites and to predict a value of orbital period, orbital speed, orbital acceleration, net force, etc.

Video:

Think Sheets:

Circular and Satellite Motion 4: Orbital Mathematics

Circular and Satellite Motion 5: Orbital Mathematics

### 8. Kepler's Laws of Planetary Motion

Describe Kepler's three laws of planetary motion; use the law of harmonies to predict the period or mean radius for one satellite if given the period or mean radius of another satellite.

Video:

Think Sheets:

Minds On Physics:
Mission CG10 on Kepler's Laws

### 9. Weightlessness

Explain the cause of partial and complete weightlessnes and describe the conditions that lead to sensations of weighing less than normal.

Video:

Think Sheets:

Physics Interactives with Concept Checkers:

Minds On Physics:
Mission CG9 on Weightlessness

### Also Available ...

Physics teachers may find the following for-sale tools to be useful supplements to our Lesson Plan and Pacing Guide section:

1. Task Tracker Subscription (annual purchase)
A subscription allows teachers to set up classes, add students, customize online assignments, view student progress/scores, and export student scores. Task Tracker accounts allow your students to begin assignments in class or at school and to finish them at home. View our Seat and Cost Calculator for pricing details.

2. The Solutions Guide
We publish a free curriculum with >200 ready-to-use Think Sheets for developing physics concepts. The Solutions Guide is a download containing the source documents, PDFs of source documents, and answers/solutions in MS Word and PDF format. An expanded license agreement is included with the purchase. (Cost: \$25 download)

3. Teacher Presentation Pack
This is a large collection of downloadable content packed with nearly 190 Microsoft PowerPoint slide decks, the corresponding Lesson Notes (as PDF and fully-modifiable MS Word format), about 170 animations (in .gif, .png, and .mp4 file formats), a countless number of ready-to-use images (including the original source documents that would allow for easy modification of those images), and a license that allows teachers to modify and use all the content with their classes on password-protected sites (such as course management systems).  (Cost: \$40 download)

4. Question Bank
We distribute a Question Bank that includes more than 9300 questions neatly organized according to topic. The Question Bank is the perfect tool for busy teachers or new teachers. Even if you don't use the website with your classes, the Question Bank will assist you in quickly putting together quizzes, tests and other documents with high-quality questions that target student's conceptions of physics principles. And if you do use The Physics Classroom website, the Question Bank is the perfect complement to the materials found at the website. (Cost: \$25 download)