Energy Calculator
Calculate kinetic and potential energy.
단위 변환
Overview
Calculate kinetic energy and potential (gravitational) energy. Used for energy conservation analysis, mechanics problem-solving, and engineering energy estimation.
Formula
Kinetic Energy: KE = ½mv² Potential Energy (Gravitational): PE = mgh Mechanical Energy Conservation: KE₁ + PE₁ = KE₂ + PE₂ (when no non-conservative forces) Work = Force × Distance × cos(θ) (W = Fd cos θ) Work-Energy Theorem: W_net = ΔKE Units: Energy (J, Joule), Mass (kg), Velocity (m/s), Height (m)
How to Use
- 1Select the energy type to calculate (kinetic or potential).
- 2For kinetic energy: enter mass (kg) and velocity (m/s).
- 3For potential energy: enter mass (kg) and height (m).
- 4View the result in Joules (J) or kilojoules (kJ).
Tips
- ✔Kinetic energy is proportional to the square of velocity — double the speed means 4× the energy.
- ✔1 J = 1 N·m = 1 kg·m²/s².
- ✔1 cal ≈ 4.184 J, 1 kWh = 3,600,000 J.
- ✔Using energy conservation, potential energy at height converts to kinetic energy at ground level.
FAQ
Q. What is the relationship between kinetic and potential energy?
When no non-conservative forces (like friction) act, mechanical energy (KE + PE) is conserved. As an object falls, potential energy decreases and kinetic energy increases, keeping total energy constant.
Q. What is a Joule (J)?
A Joule is the SI unit of energy. It equals the work done when a force of 1 Newton moves an object 1 meter. 1 J = 1 kg·m²/s². Named after James Prescott Joule.
Q. What is the relationship between energy and work?
Work is the process of energy transfer. Doing work on an object changes its energy. By the work-energy theorem, the net work done equals the change in kinetic energy (W_net = ΔKE).
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