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Physics

Kinetic Energy

The energy associated with translational motion.

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Source & review

Difficulty

Beginner

Read time

4 min

Prerequisites

Mass, speed, and basic algebra

Review statusNeeds review

Source

OpenStax, University Physics Volume 1, §7.2: Kinetic Energy

Equation reference for classical kinetic energy. Explanation and worked example written for FormuLab.

Definition
Understanding the core concept

Kinetic energy increases with mass and with the square of speed. Doubling mass doubles this energy, while doubling speed multiplies it by four. Because speed is squared, the result is nonnegative and does not identify the direction of travel. An object at rest in the chosen frame has zero kinetic energy.

Variables & Units
Understanding each component
SymbolMeaningUnits
Translational kinetic energy
Mass of the object
Speed in the chosen reference frame
Real-World Applications
Where this formula is used in practice

Braking energy

Estimate how much translational energy a vehicle must lose to stop.

Moving machinery

Compare the translational energy of moving carriages or loads.

Work-energy calculations

Find the change in kinetic energy between two speeds.

Worked Example
Step-by-step calculation with real numbers

Problem

A 12.0 kg cart moves at 3.00 m/s relative to the floor. Calculate its translational kinetic energy.

Given

Solution

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Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

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