ToolHub

Work & Energy Calculator

Calculate work done, kinetic energy, potential energy, and total mechanical energy with automatic unit conversion and step-by-step physics explanations.

Formulas Used

  • Work:
  • W = F × d × cos(θ)
  • Kinetic Energy:
  • KE = ½ m v²
  • Potential Energy:
  • PE = m g h
  • Total Energy:
  • E = KE + PE

Energy Analysis Details

  • - Work represents energy transfer due to force acting over a distance.
  • - Only the component of force in the direction of motion contributes to work.
  • - Angle between force and displacement affects the work done.
  • Kinetic Energy:
  • - Energy possessed due to motion.
  • - Depends on mass and square of velocity.
  • - Always non-negative.
  • Potential Energy:
  • - Energy stored due to position (height).
  • - Depends on gravitational field and height.
  • Mechanical Energy:
  • - Sum of kinetic and potential energy.
  • - Conserved in absence of non-conservative forces.
  • Unit System:
  • - SI: Joules (J), meters, kg
  • - Imperial: ft·lbf, feet, pounds
  • - Automatic conversions are applied internally.
  • Visualization:
  • - Bar chart shows KE, PE, and total energy.
  • - Helps compare energy distribution visually.
  • Notes:
  • - Mass must be positive.
  • - Angle must be between 0° and 180°.
  • - Missing values are treated as zero (optional inputs).

Calculation History