Potential energy defined; proof of conservation of mechanical energy.

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

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

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.

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

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

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.

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.

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

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

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

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

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

Friction experiment setup and procedure.

Class problems.

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.

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 done by gravity near the surface of the earth.

Solution (PDF)

Work done by the spring force.

Solution (PDF)

Work done by the inverse square gravitational force.

Solution (PDF)

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

Solution (PDF)^#

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

Solution (PDF)

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

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

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

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

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

Solution (PDF)

Comparing the work done by two different rockets.

Solution (PDF)

Force exerted to ride a bicycle up a hill.

Solution (PDF)^#

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

Solution (PDF)^#

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

Solution (PDF)

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

Solution (PDF)