Definitions, with proof that work is difference in kinetic energy.

Work defined by line integral; proof that work is difference in kinetic energy in 3D.

Example of gravity acting on particle; proof that work is independent of path.

Work-Energy Theorem and conservation of mechanical energy restated.

Calculation of θ_max by work-energy; phase angle and oscillation equation obtained.

Definition of the work-energy principle; work in one and three dimensions; variable force and work. Includes several examples.

Definition of the work-energy principle; work in one and three dimensions; variable force and work. Includes several examples.

Work done by a force (W = F*d); conservation of energy.

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

Energy transformations and conservation of energy; energy of system and surroundings; definition of kinetic energy, with equation (K = 1/2*m*v²); definition of work done by a constant force, with equation (W_applied = F_x*δ x).

Definition of Work-Kinetic Energy Theorem (K_f = K_i + W_f,i); work done by non-constant force; work done along an arbitrary path; line integrals; definition of average power; definition of instantaneous power.

Friction experiment setup and procedure.

Class problems.

4-part problem; finding work in terms of frictional force; stopping time; work to accelerate the box.

Solution (PDF)

Work done by objects moving against forces. Solution not included.

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

Solution (PDF)^#

Work done on a falling ball. Solution not included.

Change in kinetic energy of a puck sliding along a horizontal surface with friction. Solution not included.

Energy required to accelerate a car from rest to 10 mph, and from 10 mph to 20 mph. Solution not included.

Kinetic energy of a particle under the action of a variable force. Solution not included.

Work done on an accelerating block by the force of friction. Solution not included.

Work done by a weightlifter holding a barbell. Solution not included.

Work done by the floor on the feet of a walking person. Solution not included.

Work done on a ball rolling in a spiral path along the inside of a hollow cylinder. Solution not included.

Graph of kinetic energy of a falling object. Solution not included.

Speed of a ball dropped into a jar of oil. Solution not included.

Work done on a block by one person relative to that done by another person.

Solution (PDF)

Motion of an object sliding down an inclined plane.

Solution (PDF)

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

Solution (PDF)

2 short qualitative problems about weighing a fly in a closed, then open, jar.

Solution (PDF)

Relative motion and energy of two objects.

Solution (PDF)

Dynamics of a suitcase placed on a moving conveyor belt.

Solution (PDF)

Finding the energy released by the explosion of a vertically launched projectile.

Solution (PDF)

Frictional work, speed at bottom, and transit time for sliding down.

Solution (PDF)^#

Motion of a child sliding down a playground slide.

Solution (PDF - 2.0 MB)^#

Dynamics of a ball rolling down the inside of a hollow cone.

Solution (PDF)^#