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5.6 Chapter summary (ESCMK)

Presentation: 27SC

Units

Quantity

Symbol

Unit

S.I. Units

Direction

Velocity

\(\stackrel{\to }{v}\)

\(\text{m·s$^{-1}$}\)

or \(\text{m·s$^{-1}$}\)

\(\checkmark\)

Force

\(\stackrel{\to }{F}\)

\(\text{kg·m·s$^{-2}$}\)

or \(\text{N}\)

\(\checkmark\)

Energy

E

J

\(\text{kg·m$^{2}$·s$^{-2}$}\)

or \(\text{kg·m$^{2}$·s$^{-2}$}\)

Work

W

J

\(\text{N·m}\)

or \(\text{kg·m$^{2}$·s$^{-2}$}\)

Kinetic Energy

\({E}_{K}\)

J

\(\text{N·m}\)

or \(\text{kg·m$^{2}$·s$^{-2}$}\)

Potential Energy

\({E}_{P}\)

J

\(\text{N·m}\)

or \(\text{kg·m$^{2}$·s$^{-2}$}\)

Mechanical Energy

U

J

\(\text{N·m}\)

or \(\text{kg·m$^{2}$·s$^{-2}$}\)

Power

P

W

\(\text{N·m·s$^{-1}$}\)

or \(\text{kg·m$^{2}$·s$^{-3}$}\)

  • Kinetic energy: \({E}_{k}=\frac{1}{2}m{v}^{2}\)

  • Conservation of Energy: Energy is never created nor destroyed, but is only transformed from one form to another.

  • Conservation of Mechanical Energy: in the absence of non-conservative forces mechanical energy is conserved.

  • When a force acting on an object has a component along the line of motion, work is done.

  • Work is the process of transferring energy from object or system to another.

  • Energy is the ability to do work.