162 Derivation of Kinetic Energy Formula
A derivation of the kinetic energy formula that is used to obtain the energy of motion from the work done by a force.
Note: Also called the work-energy derivation of kinetic energy.
Related definitions:
162.1 References
- Shankar, R. Fundamentals of Physics I. Yale University Press, 2019. — Newtonian work-energy path to \(K=\dfrac{1}{2}mv^{2}\).
- OpenStax. University Physics Volume 3, §5.9 Relativistic Energy. — relativistic work integral to \(K_{\mathrm{rel}}=(\gamma-1)mc^{2}\).
- Annihilation
- Constancy of the Speed of Light
- Contracted Length
- Coordinate Transformations
- Derivation of Elastic Potential Energy Formula
- Derivation of Gravitational Potential Energy Formula
- Derivation of Kinetic Energy Formula
- Derivation of Newtonian Kinetic Energy Formula
- Derivation of Potential Energy Formula
- Derivation of Relativistic Kinetic Energy Formula
- Electromagnetic Field Transformations
- Energy-Momentum Relation
- Events
- Field Tensor
- Four-Current
- Four-Momentum
- Four-Potential
- Frame
- Inertial Frame
- Inertial Reference Frames
- Kinetic Energy
- Length Contraction
- Light Cone
- Lorentz Factor
- Lorentz Transformations
- Magnetism as a Relativistic Effect
- Mass-Energy Equivalence
- Massless Particles
- Minkowski Metric
- Minkowski Space
- Moving Clocks
- Non-Inertial Frames
- Nuclear Energy
- Particle Creation
- Photon Energy
- Potential Energy
- Principle of Relativity
- Proper Length
- Proper Time
- Rapidity
- Reference Frames
- Relativistic Electrodynamics
- Relativistic Momentum
- Relativistic Momentum and Energy
- Relativity Principle
- Rest Energy
- Simultaneity
- Spacetime
- Spacetime Interval
- Time Dilation
- Total Energy
- Twin Paradox
- Velocity Addition
- Visualization of Spacetime
- Worldlines