SCHEDULE: 12/22/14 – 1/7/15
UNIT #7: CIRCULAR MOTION /GRAVITATION
Assessment: 1/20/15
Grade/Course:
Title of the Unit of Study:
Grade 11/12- AP 1 Physics
UNIT #7: Circular Motion & Gravitation
21st Century Theme: Introduce the topic by the question: “What keeps the planets in orbit around the sun, NASA satellites
around the earth and the stars around the center of their galaxy is the same.” Its gravity. But when you compare the
speed of the stars around the center of the galaxy its different from the planets. But we are so confident in Newton’s Law
of gravity that we have to invent a new form of matter. “Dark Matter’ which is 5 times more common than ordinary
matter to explain the differences and still hold onto Newton’s laws of motion. BUT WE HAVE NO IDEA WHAT IT IS?
CCSS Science and Technical Standards Reading:
RST.1112.1
Cite specific textual evidence to support analysis of science and technical texts, attending to important
distinctions the author makes and to any gaps or inconsistencies in the account. (HS-PS2-1)
CCSS Science and Technical Standards Writing:
WHST.1112.7
Conduct short as well as more sustained research projects to answer a question (including a self-generated
question) or solve a problem; narrow or broaden the inquiry when appropriate; synthesize multiple sources on
the subject, demonstrating understanding of the subject under investigation. (HS-PS2-3),(HS-PS2-5)
WHST.1112.8
Gather relevant information from multiple authoritative print and digital sources, using advanced searches
effectively; assess the strengths and limitations of each source in terms of the specific task, purpose, and
audience; integrate information into the text selectively to maintain the flow of ideas, avoiding plagiarism and
overreliance on any one source and following a standard format for citation. (HS-PS2-5)
WHST.1112.9
Draw evidence from informational texts to support analysis, reflection, and research. (HS-PS2-1),(HS-PS2-5
NGSS/Content Standards:


PS2.B: Types of Interactions
Newton’s law of universal gravitation and Coulomb’s law provide the mathematical models to describe and predict the effects of
gravitational and electrostatic forces between distant objects. (HS-PS2-4)
Forces at a distance are explained by fields (gravitational, electric, and magnetic) permeating space that can transfer energy through
space. Magnets or electric currents cause magnetic fields; electric charges or changing magnetic fields cause electric fields. (HS-PS24),(HS-PS2-5)
Concepts and Skills:
1. Calculate the centripetal acceleration for a body moving in circular motion
2. Solve Newtons’ law for a body moving in circular motion especially car on a ramp, rollercoaster, plane in loop etc
3. Radial acceleration leads to change in direction vs Tangential acceleration leads to speed change
4. Gravitational force acts on all masses is the weakest of all known forces, but is significant if the mass is large like a
planet, a star or a Black Hole
5. Calculate and graph the velocity, radius of orbit of any mass in orbit around a central mass
6. Kepler’s laws of motion explain the shape of the orbit, the change in velocity and distribution of velocities with average
distance from the sun. These effects all are explained by Newton’s laws of Universal gravitation
Essential Question(s):
1. What does it need for a body to turn in a circular motion.
2. What are the effects of radial and tangential forces on a body/
3. What is Newton’s law of gravitation and how does it explain the Kepler’s Laws of motion of the planets
4. How is Kepler’s laws of motion different from Copernicus view of planets and solar system?
Higher Order Thinking Questions:
1. If a body is moving at constant speed why does it need any force to move in a circle?
2. If there is an attractive force between a satellite and the earth, why doesn’t the satellite free fall into the earth?
3. How do Newton’s laws explain the three observational laws of planetary motion by Kepler
4. What is the experimental evidence for Dark Matter based on orbits of the stars about the center of the galaxies
SCHEDULE: 12/22/14 – 1/7/15
UNIT #7: CIRCULAR MOTION /GRAVITATION
Assessment: 1/20/15
Learning Outcomes/Content Objectives:
1. Calculate the centripetal acceleration of a point mass in uniform circular motion given the radius of the circle and either
the linear speed or the period of the motion.
2. Identify the force that is the cause of the centripetal acceleration and determine the direction of the acceleration
vector.
3. Use Newton's laws of motion and the concept of centripetal acceleration to solve word problems.
4. Distinguish between centripetal acceleration and tangential acceleration.
5. State the relationship between the period of the motion and the frequency of rotation and express this relationship
using a mathematical equation.
6. Write the equation for Newton's universal law of gravitation and explain the meaning of each symbol in the equation.
7. Determine the magnitude and direction of the gravitational field strength (g) at a distance r from a body of mass m.
8. Use Newton's second law of motion, the universal law of gravitation, and the concept of centripetal acceleration to
solve problems involving the orbital motion of satellites.
9. Explain the "apparent" weightlessness of an astronaut in orbit.
10. State from memory Kepler's laws of planetary motion.
11. Use Kepler's third law to solve word problems involving planetary motion.
12. Use Newton's second law of motion, the universal law of gravitation, and the concept of centripetal acceleration to
derive Kepler's third law.
Academic Vocabulary:
- Newton’s law of Gravitation
- Strong, weak, Electromagnetic and Gravitational forces
-Field forces
Content Specific
Vocabulary:
- Centripetal
acceleration/force
- Kepler’s Laws of
Motion
-Period
-‘weightlessness’
Sentence Frames:
Labs/Demonstrations/Activities:
1. Circular Motion lab –
2. Demonstration of circular motion
3. Demonstration of circular motion – centrifuge, water swung in a bucket
4. Kepler’s 3rd law lab to rediscover the mass of the sun and the periods and radii of the planets
Resources:
Web quiz: http://cwx.prenhall.com/bookbind/pubbooks/giancoli/chapter8/deluxe.html
Simulations: http://www.walter-fendt.de/ph14e/ 1. Uniform Circular Motion. 2. Kepler’s 1st law, 3. Kepler’s 3rd law
Video :
https://ia600408.us.archive.org/10/items/AP_Physics_B_Lesson_16/Container.html
https://ia600402.us.archive.org/9/items/AP_Physics_B_Lesson_17/Container.html
https://ia600202.us.archive.org/12/items/AP_Physics_B_Lesson_18/Container.html
https://ia600504.us.archive.org/9/items/AP_Physics_B_Lesson_19/Container.html
https://ia600400.us.archive.org/33/items/AP_Physics_B_Lesson_20/Container.html
Serway Faughn Vuille: College Physics Textbook Chapter 7
SCHEDULE: 12/22/14 – 1/7/15
UNIT #7: CIRCULAR MOTION /GRAVITATION
Assessment: 1/20/15
HAIKU PAGE:
AP Unit #7: ROTATIONAL MOTION & GRAVITATION (SFV: Chapter 7)
Topic
Reading
Homework
1. Angular Speed and
Acceleration
SFV p217 Summary
SFV p(189-192)
SFV p218: 1, 3
2. Rotational Motion @
Constant Rotational
Acceleration
SFV p(193-194)
SFV p219: 5- 13 odd
3. Angular-> Linear
Quantities
SFV p(194-198)
SFV p219: 15- 21 odd
4. Centripetal Acceleration
SFV p(198-206)
SFV p220: 23- 27 odd
5. Newton’s Law of
Gravitation
SFV p(206-213)
SFV p220: 29,31,33
6. Kepler’s laws
SFV p(214-216)
SFV p220: 35,37,39,41
7. Unit #7 lab
SFV p(214-216)
WEB Quiz7
7. Review 1 Unit 12
SFV p217 Summary
SFV p218: 1-17 odd
8. UNIT 7 TEST
VIDEO LECTURES:
https://ia600408.us.archive.org/10/items/AP_Physics_B_Lesson_16/Container.html
https://ia600402.us.archive.org/9/items/AP_Physics_B_Lesson_17/Container.html
https://ia600202.us.archive.org/12/items/AP_Physics_B_Lesson_18/Container.html
https://ia600504.us.archive.org/9/items/AP_Physics_B_Lesson_19/Container.html
https://ia600400.us.archive.org/33/items/AP_Physics_B_Lesson_20/Container.html
SCHEDULE: 12/22/14 – 1/7/15
WEB QUIZ7:
UNIT #7: CIRCULAR MOTION /GRAVITATION
Assessment: 1/20/15
http://cwx.prenhall.com/bookbind/pubbooks/giancoli/chapter8/deluxe.html
In Class Work
Max Score
Unit 2 Warm Ups
10
Unit 2 Lecture Notes
10
Class Participation
10
Add FRQ practice
Score