Editing Force (section)

= Force: Definition and Mathematical Representation =

== Introduction ==
'''Force''' is a fundamental concept in physics that describes a push or a pull acting upon an object. It causes objects to accelerate, decelerate, remain in place, or change direction. The concept of force is central to Newtonian mechanics.

== Definition ==
Force is defined mathematically by Newton's Second Law:

    F = m × a

Where:
* F is force in newtons (N),
* m is mass in kilograms (kg),
* a is acceleration in meters per second squared (m/s²).

== SI Unit ==
The SI unit of force is the newton (N), which is defined as:

    1 N = 1 kg·m/s²

== Types of Forces ==
Some common types of forces include:
* Gravitational Force: F = G × (m₁ × m₂) / r²
* Normal Force: Perpendicular to the surface.
* Frictional Force: Opposes motion between two surfaces.
* Tension: Force through a stretched string or rope.
* Electromagnetic Forces: Includes electric and magnetic forces.

== Vector Nature ==
Force is a vector quantity — it has both magnitude and direction.

    F_net = ΣFᵢ

== Newton’s Laws of Motion ==
Force is described by Newton’s laws:
* 1. Law of Inertia
* 2. F = m × a
* 3. For every action, there's an equal and opposite reaction (F₁ = -F₂)

== Applications ==
Force plays a vital role in:
* Engineering mechanics
* Motion analysis
* Vehicle dynamics
* Everyday physics (e.g., lifting, pushing, pulling)

== See Also ==
* [[Acceleration]]
* [[Mass]]
* [[Newton's Laws of Motion]]
* [[Friction]]