1. Equate initial potential energy to final kinetic energy: $mgh = \frac{1}{2}mv^2$. 2. Solve for v: $v = \sqrt{2gh}$.

1. Use the formula for potential energy in a spring: $U = \frac{1}{2}kx^2$, where k is the spring constant and x is the compression/extension distance.

1. Calculate the normal force (N). 2. Calculate the frictional force: $f = \mu N$. 3. Calculate work: $W = f d$.

1. Identify all forces doing work. 2. Calculate the work done by each force. 3. Calculate the net work: $W_{net} = \Delta K$. 4. Solve for the unknown (e.g., final velocity).

1. Calculate the work done or energy transferred (W or $\Delta E$). 2. Measure the time (t) over which the work is done. 3. Calculate power: $P = \frac{W}{t}$ or $P = \frac{\Delta E}{t}$.

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.

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.