A hockey puck on ice glides uniformly until it hits the goal — a body maintains its motion if nothing interferes.
In practice: In cars, headrests save the neck during a rear impact: the head is thrown backward by inertia, and the support holds it from sudden movement.
Ancient Greek philosopher Aristotle believed that motion requires a constant force. Only in the 17th century did Galileo Galilei, through thought experiments with inclined planes, show that a body maintains its speed without any effort if there is no friction. Isaac Newton generalized this idea as the first law of mechanics in his work 'Mathematical Principles of Natural Philosophy' (1687). The law states: there exist reference frames (inertial, i.e., moving without acceleration) in which a free body remains at rest or in uniform rectilinear motion until forces compel it to change that state.
How it works
A passenger in a bus involuntarily leans forward during braking: the bus decelerates, but the person continues moving by inertia. A ball in a vacuum cleaner hose flies straight if it doesn't touch the walls — that's also inertia.
💡 In interstellar space, probes like Voyager encounter almost no resistance and literally obey the first law: once launched, they can travel for billions of years at nearly constant speed.
If no other objects act on a body (no forces), it either stands still or moves straight and at the same speed (uniformly and rectilinearly). A force (a push or pull) is needed to change speed — to start, stop, or turn. This property of a body to maintain motion is called inertia (from Latin inertis — inactive).
How it works
A passenger in a bus involuntarily leans forward during braking: the bus decelerates, but the person continues moving by inertia. A ball in a vacuum cleaner hose flies straight if it doesn't touch the walls — that's also inertia.
💡 Gyroscopes in navigation systems of spacecraft use the property of inertia to maintain the orientation of the axis of rotation; on this principle, heading indicators on aircraft work, not needing GPS.
Newton's first law, also known as the law of inertia, postulates the existence of inertial reference frames — systems in which a body not subjected to forces maintains a state of rest or uniform rectilinear motion. This is a fundamental property of space-time in classical mechanics, equivalent to the assertion of the homogeneity and isotropy of space. Historically, the law emerged from overcoming Aristotelian views through the work of Galileo, Descartes, and Newton himself. In the 'Principia' it is carefully formulated to avoid a logical circle with the definition of force.
Discovery
The idea of inertia matured gradually: Nicolaus Copernicus suggested that the Earth moves without visible effort; Galileo Galilei in his 'Dialogues' (1632) proved that a ball rolling on a perfectly smooth horizontal surface would roll forever. René Descartes in 1644 was the first to formulate the principle of conservation of momentum in a straight line. Isaac Newton in 1687 presented the law in its final form as an axiom of mechanics, the foundation of all classical dynamics.
How it works
The law applies in all inertial reference frames — the condition of zero net force is sufficient. In the presence of forces, inertia manifests as resistance to a change in speed, which is used in vehicle design (seat belts, airbags), in astronautics (calculation of free-flight trajectories), and in technology (centrifuges, gyroscopes). The limit of applicability is the classical approximation: at speeds close to the speed of light, inertia ceases to be linear and requires special relativity.
Caveats
The law relies on the concept of an inertial reference frame, which is defined as a system where the first law holds — creating a logical circle, formally resolved in general relativity through local inertial systems.; In the microcosm, inertia is inseparable from quantum effects, and the concept of trajectory requires revision.
\sum \vec{F} = 0 \implies \vec{v} = \text{const}
∑F is the vector sum of all forces acting on the body; v is the velocity of the body; const means constant in magnitude and direction.
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