Gravitational Potential Energy

📊 beginner

$$U = mgh$$

Energy stored in an object due to its vertical position or height.

Variables & Units

$U$

Gravitational Potential Energy

Unit: Joule ($J$)

$m$

Mass

Unit: Kilogram ($kg$)

$g$

Gravitational acceleration

Unit: $9.81 m/s^2$

$h$

Height above reference

Unit: Meter ($m$)

Key Information

📐 Derived From

Work done against gravity ($W = Fd$).

💡 Example

Energy of a $2 kg$ book held $1 m$ above the floor.

🔧 Applications

Hydroelectric dams and roller coaster design.

⚠️ Constraints

Assumes constant $g$ (near Earth's surface).

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