Conceptual Questions:IMPORTANT

[Bipolarity]

Two concepts whose definitions are unclear to me:

1) Provide a fundamental operational definition for work done. From this definition, prove or provide a link or explain the work-kinetic energy theorem.

2) Provide a fundamental operational definition for the center of mass of a system of masses.
From this definition, prove (if applicable) the equation for finding the center of mass or provide a link that proves said equation.

Thanks.

 

[Pythagorean]

Two concepts whose definitions are unclear to me:

1) Provide a fundamental operational definition for work done. From this definition, prove or provide a link or explain the work-kinetic energy theorem.

2) Provide a fundamental operational definition for the center of mass of a system of masses.
From this definition, prove (if applicable) the equation for finding the center of mass or provide a link that proves said equation.

Thanks.

hyperphysics is a good source for introductory theory:

work/energy:
http://hyperphysics.phy-astr.gsu.edu/hbase/work.html

center of mass:
http://hyperphysics.phy-astr.gsu.edu/hbase/cm.html

(note the condition "in a uniform field")