Work Done by Constant Force

📊 beginner

$$W = Fd \cos \theta$$

The energy transferred to or from an object via the application of force along a displacement.

Variables & Units

$W$

Work

Unit: Joule ($J$)

$F$

Force magnitude

Unit: Newton ($N$)

$d$

Displacement

Unit: Meter ($m$)

$\theta$

Angle between force and displacement

Unit: Degrees/Radians

Key Information

📐 Derived From

Dot product of force and displacement vectors.

💡 Example

Pushing a box $5 m$ with a force of $10 N$ at a $0^\circ$ angle.

🔧 Applications

Mechanical advantage and power calculation.

⚠️ Constraints

Force must be constant during displacement.

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