What Are Forces? The Rules That Govern Motion

Force is the fundamental interaction that causes objects to move, stop, or change direction, governing everything from the collision of subatomic particles to the orbit of distant galaxies. It is the central concept for understanding the mechanics of our daily lives and the broader cosmos. All observable changes in motion, whether a thrown baseball curving through the air or a skyscraper resisting the wind, are traceable to the action of forces.

Defining Force and Its Measurement

A force is defined as a push or a pull exerted by one object upon another, which can result in the object changing its velocity or deforming its shape. Since a force must be described by both its magnitude and direction, it is classified as a vector quantity. This means that a 10-unit force pushing an object north is fundamentally different from a 10-unit force pushing it south.

The standard international unit for measuring force is the Newton (N), named after Sir Isaac Newton. This unit provides a technical, measurable link between force, mass, and motion. One Newton is precisely the amount of force required to cause a one-kilogram mass to accelerate at a rate of one meter per second squared. This unit mathematically links the fundamental units of mass, length, and time.

The Rules Governing Force and Motion

The consequences of applying a force are described by Newton’s three laws of motion. The first law, often called the law of inertia, states that an object will maintain its state of motion—remaining at rest or continuing to move at a constant speed—unless acted upon by an unbalanced external force. This explains why a passenger continues to move forward when a car brakes suddenly; inertia resists the change in motion until the seatbelt applies an external force.

The second law provides the quantitative relationship between force and the change in motion. It establishes that the acceleration an object experiences is directly proportional to the net force applied and inversely proportional to its mass. This principle is summarized by the relationship \(F = ma\), where \(F\) is the net force, \(m\) is the mass, and \(a\) is the resulting acceleration. Applying a small force to a massive object, like a parked train car, results in a very small acceleration compared to applying that same force to a much lighter object, such as a shopping cart.

The third law addresses the nature of interaction, stating that for every action force, there is an equal force acting in the opposite direction on the other interacting object. Forces always occur in pairs acting on two different bodies. When a rocket engine expels hot gases downward, the exhaust gases push back on the rocket with an equal upward force, propelling it into space.

Forces That Require Contact and Those That Do Not

Forces are categorized based on whether they require direct physical touch between the interacting objects. Contact forces act only when two objects are physically touching, such as the friction that slows a sliding book or the tension exerted by a rope pulling a load. The normal force is also a common contact force, representing the support a surface provides to an object resting upon it.

Action-at-a-distance forces, in contrast, can influence objects across empty space without any physical connection. The most familiar example is gravity, which keeps a satellite in orbit around Earth and causes an apple to fall from a tree. The electromagnetic force is another example, causing a compass needle to align with the Earth’s magnetic field or two magnets to attract or repel each other.

The Four Universal Interactions

All observed forces originate from four fundamental interactions that govern all matter and energy in the universe. Gravity and electromagnetism are the two forces that produce long-range effects, extending across astronomical distances.

Gravity is the weakest of the four, but because its effects are cumulative over large masses, it dominates the structure and motion of planets, stars, and galaxies. The electromagnetic force is vastly stronger than gravity and is responsible for holding atoms and molecules together. It underlies all chemical reactions and electrical phenomena.

The remaining two forces operate exclusively at the subatomic scale, within the nucleus of an atom. The strong nuclear force is the most powerful, binding quarks to form protons and neutrons, and holding them together in the atomic nucleus, overcoming the repulsive electromagnetic force between protons.

The weak nuclear force is responsible for certain types of radioactive decay, where it can change one type of subatomic particle into another, such as converting a neutron into a proton. While its range is incredibly short, it plays a role in the fusion reactions that power the Sun and other stars.