⚡ Fast Revision: Energy Concepts
- Work: Done only when a force produces motion in its own direction.
- Energy: The internal capacity or ability of a body to do work.
- Relationship: Work done on a body is stored as energy; energy spent equals work done.
Work/Energy: W / E | SI Unit: Joule (J)
CGS Unit: erg | $1\ J = 10^7\ ergs$
$Work = Force \times Displacement$
($W = F \times s$)
Thinking work is done while standing still with a heavy load. Fix: Since displacement ($s$) is zero, the work done is zero.
⚡ Fast Revision: Mechanical Energy
- Potential Energy (P.E.): Energy possessed by a body due to its position or state of rest.
- Kinetic Energy (K.E.): Energy possessed by a body due to its motion.
- Mechanical Energy: The total sum of P.E. and K.E. in a system.
| Type | Dependent Factors | Example |
|---|---|---|
| Gravitational P.E. | Mass and Height ($h$) | Water stored in a dam |
| Elastic P.E. | Deformation/Stretch | Compressed spring |
| Kinetic Energy | Mass and Velocity ($v$) | A flying bird |
$P.E. = m \times g \times h$
$K.E. = \frac{1}{2} m v^2$
Thinking K.E. doubles if velocity doubles. Fix: Since $K.E. \propto v^2$, doubling the velocity makes the K.E. four times greater.
⚡ Fast Revision: Conservation & Transformation
- Definition: Energy can neither be created nor destroyed; it only changes from one form to another.
- Total Energy: The sum of all forms of energy in an isolated system remains constant.
- Dissipation: In real systems, some energy is "lost" as heat due to friction, but the total remains the same.
| Device | Energy Transformation |
|---|---|
| Electric Bulb | Electrical $\rightarrow$ Light + Heat |
| Solar Cell | Light $\rightarrow$ Electrical |
| Microphone | Sound $\rightarrow$ Electrical |
| Loudspeaker | Electrical $\rightarrow$ Sound |
Extreme Positions: P.E. is Max | K.E. is 0
Mean Position: K.E. is Max | P.E. is Min
Thinking energy is "used up" by a machine. Fix: Energy is never used up; it is simply converted into less useful forms like sound or heat.
⚡ Fast Revision: Energy Sources & Power
- Renewable: Inexhaustible sources that replenish naturally (e.g., Solar, Wind, Hydro).
- Non-Renewable: Exhaustible sources available in limited quantities (e.g., Coal, Petroleum, Natural Gas).
- Power: The rate at which work is done or energy is transferred.
Power: P | SI Unit: Watt (W)
Commercial Unit: Horsepower (hp) | $1\ hp = 746\ W$
$Power = \frac{Work}{Time}$
($P = \frac{W}{t}$)
| Renewable | Non-Renewable |
|---|---|
| Environment friendly (Low pollution). | Major source of pollution and $CO_2$. |
| Initial cost is high. | Relatively cheaper and easier to use. |
| E.g., Biomass, Geothermal. | E.g., Nuclear, Fossil fuels. |
Confusing Power with Energy. Fix: Energy is how much work you can do; Power is how fast you do it.