Work, Energy, and Power

Conservation of energy, power

  1. The Law of Conservation of Energy states that energy can neither be created nor destroyed, only transformed from one form to another.
  2. In an isolated system with no external forces, the total energy remains constant.
  3. Mechanical energy, the sum of kinetic energy (KE) and potential energy (PE), is conserved in systems with no non-conservative forces like friction.
  4. In real-world systems, some energy is converted into heat or other non-mechanical forms due to dissipative forces.

Work-energy theorem, types of energy (kinetic, potential, etc.)

  1. The Work-Energy Theorem states that the work done by all forces acting on an object is equal to the change in its kinetic energy.
  2. The mathematical expression for the Work-Energy Theorem is W = ΔKE, where W is work and ΔKE is the change in kinetic energy.
  3. Kinetic Energy (KE) is the energy of an object due to its motion, given by KE = ½ mv², where m is mass and v is velocity.
  4. Potential Energy (PE) is the energy stored in an object due to its position or configuration.
  5. The formula for gravi

Definitions and units

  1. Work is done when a force is applied to an object, and the object moves in the direction of the applied force.
  2. The mathematical formula for work is W = F × d × cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and displacement.
  3. The SI unit of work is the joule (J), where 1 joule = 1 newton × 1 meter.
  4. Positive work occurs when the force and displacement are in the same direction.
  5. Negative work occurs when the force
Work, Energy, and Power