Energy is the capacity to do work, while power is the rate at which energy is transferred or work is done.

Kinetic energy is the energy of motion; potential energy is stored energy due to position or configuration.

Conservative forces (e.g., gravity) conserve mechanical energy; non-conservative forces (e.g., friction) dissipate energy as heat.

Work is the transfer of energy from one system to another, while energy is the capacity to do work.

Energy: The capacity to do work. | Work: Transfer of energy. | Power: Rate at which work is done or energy is transferred.

Kinetic Energy: Energy of motion, $K = \frac{1}{2}mv^2$. | Potential Energy: Stored energy due to position or condition, e.g., $U = mgh$ or $U = \frac{1}{2}kx^2$.

Conservative Forces: Work done is path-independent (e.g., gravity, spring force). | Non-Conservative Forces: Work done is path-dependent (e.g., friction, air resistance).

The total energy of an isolated system remains constant; energy can change forms but is neither created nor destroyed.

The sum of potential (U) and kinetic (K) energies in a system: $TME = U + K$.

The net work done on an object equals its change in kinetic energy: $W_{net} = \Delta K = K_f - K_i$.

The rate at which work is done or energy is transferred: $P = \frac{W}{t}$ or $P = \frac{\Delta E}{t}$.

Watts (W), equivalent to joules per second (J/s).

Energy possessed by an object due to its motion.

Energy stored in an object due to its position or condition.