# Forces & Potential Energy

## Friction

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.

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## Kinetic and Potential Energy

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

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## Conservation of Energy

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

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## Potential Energy

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.

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

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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.

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

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

## Work-Energy Theorem

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

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## Potential Energy of Springs

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

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## Experiment 5B

Friction experiment setup and procedure.

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## Work and Dot Product Problem Solving Strategies

Class problems.

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## Calculating Work Integrals

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Work done by gravity near the surface of the earth.

Work done by the spring force.

Work done by the inverse square gravitational force.

## Spring - Object on an Inclined Plane with Friction

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

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## Journey to the Center of the Earth

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

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## Oscillation and Potential Energy

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

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## Potential Energy Graph

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

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## Path Dependence of Force

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

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## Energy of a Spring

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

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## Rocket Flight

Comparing the work done by two different rockets.

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## Force and Potential Energy

Force exerted to ride a bicycle up a hill.

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## Spring - Launched Projectile

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

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