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Video Clips

RealVideo®
6:37 minutes (17:00 - 23:37)
Potential energy defined; proof of conservation of mechanical energy.
Gravitational Work (13:04 of V11)
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RealVideo®
5:57 minutes (31:11 - 37:08)
Work when g varies; statement of law of universal gravitation; calculation of g.
Gravitational Work (13:04 of V11)
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RealVideo®
4:39 minutes (14:56 - 19:35)
Types of equilibrium; stable, with restoring force; unstable, with negative U".
Force and Potential Energy (7:00 of V13)
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Lecture Notes

PDF - 1.6 MB
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Page 1 to page 6
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.
Newton's Laws
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PDF - 1.5 MB
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Page 1 to page 6
Kinetic energy of a particle; gravitational potential energy; the law of conservation of mechanical energy. Includes several examples.
Lecture 12, Integration
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PDF - 1.3 MB
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Page 1 to page 5
Definition of the law of conservation of energy, with examples; definition of conservative forces and the potential energy of conservative forces.
Lecture 13, Integration
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PDF - 1.5 MB
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Page 1 to page 6
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.
Lecture 14, Integration, Partial Derivatives
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PDF
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Page 1 to page 14
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.
Newton's Laws
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PDF
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Page 1 to page 15
Kinetic energy of a particle; gravitational potential energy; the law of conservation of mechanical energy. Includes several examples.
Lecture 12, Integration
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Page 1 to page 12
Definition of the law of conservation of energy, with examples; definition of conservative forces and their potential energy.
Lecture 13, Integration
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Page 1 to page 12
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.
Lecture 14, Integration, Partial Derivatives
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PDF
Page 1 to page 2
Relation between work done and change in energy; when to use work-energy; potential energy defined; calculating changes in potential energy.
Work and Force
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PDF
Page 1 to page 2
Calculating potential energy; using potential energy to calculate force; potential energy vs. position diagrams.
Work-Energy
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Page 1 to page 2
Equation for the potential energy of a spring; potential energy of a vertical spring plus gravity.
Potential Energy
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PDF
Page 30 to page 40
Friction experiment setup and procedure.
Friction
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PDF
Page 1 to page 24
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.
Lecture 14
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Practice Problems

PDF
Problem 1
Potential energy of systems as a function of position. Solution not included.
None
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PDF
Problem 1
Finding velocity from a potential energy diagram; potential energy of a spring. Solution not included.
None
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PDF
Problem 20a
Work done by gravity near the surface of the earth.
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PDF
Problem 20b
Work done by the spring force.
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Problem 20c
Work done by the inverse square gravitational force.
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PDF
Problem 21
Motion of an object pushed by a spring up an inclined plane.
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Problem 22
Finding the time it takes for an object to traverse a hole through the earth.
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PDF
Problem 1
Potential energy of a spring as a function of a connected oscillating cart. Solution not included.
None
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PDF
Problem 6
Determining maximum velocity of a particle from a graph of potential energy vs. position. Solution not included.
None
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PDF
Problem 7
Average force exerted to ride a bicycle up a hill by two different paths. Solution not included.
None
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PDF
Problem 18
Energy stored in a spring at maximum compression. Solution not included.
None
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PDF
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Problem 1a to problem 1e
4 short qualitative problems on work, forces, kinetic energy, and weight.
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Exam Questions

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Problem 13
Comparing the work done by two different rockets.
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PDF
Problem 1d
Force exerted to ride a bicycle up a hill.
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PDF
Problem 2
Motion of a marble launched from a table by a spring.
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PDF
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Problem 1
5-part problem involving Hooke's Law, friction, and conservation of energy.
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PDF
Problem 2
3-part work problem; pendulum swings 90°; finding work by gravity and tension, and vfinal.
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