Spring Force Equation

Reference from the original Physics I textbook.

Spring Force Equation

General Form: ${\vec{F}}_{s} = - k \vec{d}$

Spring along x-axis: ${\vec{F}}_{s} = - k \vec{Δ x}$

Spring along y-axis: ${\vec{F}}_{s} = - k \vec{Δ y}$

${\vec{F}}_{s} = Spring Force (N)$
$k = Spring Constant (N/m)$
$\vec{d} or \vec{Δ x} or \vec{Δ y} = displacement, along x or y axis (m)$

$[\begin{aligned} 1 Newton & = 1 kg \cdot m / s^{2} \end{aligned}]$

Related Glossary Terms

Force, Hooke’s Law↗, Spring Force

Index

Chapter 2 - Spring Force

Chapter 2 - FFR - Work

Glossary and deeper reading · 2 refreshers

These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.

Force
A force describes an interaction that can change an object’s momentum. It is a vector measured in newtons, so both size and direction matter when forces are added. For example, a rope can pull a cart while the floor exerts friction in another direction.
Read more: Free-body diagrams →
Hooke’s law
Hooke’s law models an ideal spring force as proportional to deformation and opposite in direction. The deformation is measured from the spring’s relaxed length, and the law applies only within the spring’s approximately elastic linear range. For example, doubling a small extension doubles the restoring-force magnitude of a spring that obeys this law.
Read more: Spring forces →

Spring Force Equation

Force

Hooke’s law

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