Forces & Potential Energy

 

Conservation of Mechanical Energy

Potential energy defined; proof of conservation of mechanical energy.

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  • Watch Video clip from Lecture 11 (17:00 - 23:37)

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Universal Gravitation

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

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Stable and Unstable Equilibrium

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

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  • Watch Video clip from Lecture 13 (14:56 - 19:35)

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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.

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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.

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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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Work Problems

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

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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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Spring on an Inclined Plane

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

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Dropped Pendulum

3-part work problem; pendulum swings 90°; finding work by gravity and tension, and vfinal.

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