- Conservation of Mechanical Energy
- Universal Gravitation
- Stable and Unstable Equilibrium
- Friction
- Kinetic and Potential Energy
- Conservation of Energy
- Potential Energy
- Work-Energy Theorem
- Potential Energy of Springs
- Experiment 5B
- Work and Dot Product Problem Solving Strategies
- Calculating Work Integrals

- Spring - Object on an Inclined Plane with Friction
- Journey to the Center of the Earth
- Oscillation and Potential Energy
- Potential Energy Graph
- Path Dependence of Force
- Energy of a Spring
- Work Problems
- Rocket Flight
- Force and Potential Energy
- Spring - Launched Projectile
- Spring on an Inclined Plane
- Dropped Pendulum

Potential energy defined; proof of conservation of mechanical energy.

8.01 Physics I:

*Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch Video clip from Lecture 11 (17:00 - 23:37)
Conservation of Mechanical Energy

Work when g varies; statement of law of universal gravitation; calculation of g.

8.01 Physics I:

*Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch Video clip from Lecture 11 (31:11 - 37:08)
Universal Gravitation

Types of equilibrium; stable, with restoring force; unstable, with negative U".

8.01 Physics I:

*Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch Video clip from Lecture 13 (14:56 - 19:35)
Stable and Unstable Equilibrium

Definitions of kinetic friction and static friction, as well as drag force and the terminal speed of falling bodies in air. Includes a number of friction example problems.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

Kinetic energy of a particle; gravitational potential energy; the law of conservation of mechanical energy. Includes several examples.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

Definition of the law of conservation of energy, with examples; definition of conservative forces and the potential energy of conservative forces.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

Spring potential energy and gravitational potential energy, with several examples; superposition of conservative forces; definition of non-conservative forces; conversion between forces and resultant potential energies.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

Calculating potential energy; using potential energy to calculate force; potential energy vs. position diagrams.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

Definition of conservative force; change in potential energy and conservation of mechanical energy; energy curves; potential energy for gravity and springs; energy changes for conservative and non-conservative forces.

8.01T

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

Potential energy of systems as a function of position. Solution not included.

- Complete practice problem 1

Finding velocity from a potential energy diagram; potential energy of a spring. Solution not included.

- Complete practice problem 1

Relation between work done and change in energy; when to use work-energy; potential energy defined; calculating changes in potential energy.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

Equation for the potential energy of a spring; potential energy of a vertical spring plus gravity.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

Friction experiment setup and procedure.

8.01T

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

Class problems.

8.01T

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

Work done by gravity near the surface of the earth.

- Complete practice problem 20a
- Check solution to practice problem 20a

Work done by the spring force.

- Complete practice problem 20b
- Check solution to practice problem 20b

Work done by the inverse square gravitational force.

- Complete practice problem 20c
- Check solution to practice problem 20c

Motion of an object pushed by a spring up an inclined plane.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 21
- Check solution to practice problem 21

Finding the time it takes for an object to traverse a hole through the earth.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 22
- Check solution to practice problem 22

Potential energy of a spring as a function of a connected oscillating cart. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 1

Determining maximum velocity of a particle from a graph of potential energy vs. position. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 6

Average force exerted to ride a bicycle up a hill by two different paths. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 7

Energy stored in a spring at maximum compression. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 18

4 short qualitative problems on work, forces, kinetic energy, and weight.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Complete practice problem 1a–1e
- Check solution to practice problem 1a–1e

Comparing the work done by two different rockets.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

- Complete exam problem 13
- Check solution to exam problem 13

Force exerted to ride a bicycle up a hill.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete exam problem 1d
- Check solution to exam problem 1d

Motion of a marble launched from a table by a spring.

8.01T

*Physics*I, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete exam problem 2
- Check solution to exam problem 2

5-part problem involving Hooke's Law, friction, and conservation of energy.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Complete exam problem 1
- Check solution to exam problem 1

3-part work problem; pendulum swings 90°; finding work by gravity and tension, and v_{final}.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Complete exam problem 2
- Check solution to exam problem 2