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Work Energy and Power

SUMMARY

  • System of one object can only have KE.
  • Mechanical energy is just KE + PE.
  • If work = 0 and no no conservative forces then ME = 0
  • If work is done then systems total energy changes
  • Choice of system boundary decides if an interaction is internal or external (no shit)
  • Nonconservative forces like friction or air resistance can dissipate mechanical energy as thermal energy or sound.

Mechanical Energy Components

  • Kinetic energy is energy of movement
  • Potential energy is energy due to position or config
  • Total ME stays the same when only conservative forces act inside the system

By choosing the system carefully, you can set up systems where even if things in the system change no energy exits of enters, called Constant Energy Systems.

When a system energy changes, that change matches the change across the system boundary. Energy entering increases total energy, energy leaving decreases it, and net change equals sum of in and out.

System Selection and Energy Changes

Comparison Falling ball as system Ball–Earth system
System contents Ball only Ball and Earth
Gravity External interaction; does work on the ball Internal interaction
Gravitational potential energy Not included Included
Energy equation ΔK=WgravityΔK=Wgravity​ Ki+Ug,i=Kf+Ug,fKi​+Ug,i​=Kf​+Ug,f​
Mechanical energy conserved when air resistance is negligible? No; the ball’s kinetic energy changes as energy transfers into the system Yes; energy converts between kinetic and gravitational potential energy