Physics Laws & Theorems
Basic

Newton's First Law (Inertia)

An object stays at rest or in uniform motion unless acted on by a net force.

Formula

∑F=0⇒v=const\sum F = 0 \Rightarrow v = \text{const}

Variables

FNet force
vVelocity

Example

A puck on frictionless ice keeps gliding at constant speed until something pushes it.

How it works

Newton’s First Law says that if the net force on an object is zero, its motion does not change: a stationary object stays at rest, and a moving object keeps the same speed and direction. This works because force is what causes acceleration, so when all forces balance out, the acceleration is zero and velocity stays constant. In real life, objects usually slow down only because forces like friction, air resistance, or gravity are acting on them.

When to use it

Use this law when analyzing motion in situations where the forces cancel out or are so small they can be ignored. It is especially useful for objects moving at constant speed in a straight line, or for checking whether an object should remain at rest.

Worked example, step by step

A hockey puck slides across very smooth ice with negligible friction. The forces on the puck are balanced, so net force = 0 N. Using Newton’s First Law: ΣF = 0 ⇒ v = constant. If the puck is moving at 3.5 m/s, it will keep moving at 3.5 m/s in the same direction. Final answer: the puck’s velocity stays 3.5 m/s because there is no net force.

Common mistakes to avoid

  • Thinking an object needs a force to keep moving at constant speed
  • Ignoring friction or air resistance when deciding whether the net force is zero
  • Confusing constant velocity with constant speed even when direction changes

Did You Know?

Inertia is why passengers lurch forward when a car brakes — their bodies want to keep moving.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026