Inertia vs Momentum — Resistance to Change vs Quantity of Motion

Inertia

The tendency of an object to resist changes to its state of motion — staying still or cruising steadily unless a net force acts. Measured simply by mass; it needs no motion at all.

inertia∝m\text{inertia} \propto m

Unit: kilogram (kg)

Example: A parked truck is hard to push not because it's moving (it isn't) but because its huge mass gives it huge inertia.

Momentum

The quantity of motion an object carries — mass times velocity. A vector: direction matters. In a closed system the total momentum is conserved through collisions.

p⃗=mv⃗\vec{p} = m\vec{v}

Unit: kg·m/s

Example: A 0.15 kg baseball at 40 m/s carries 6 kg·m/s of momentum — that's what the bat must reverse to send it back.

Key differences

AspectInertiaMomentum
What it isResistance to change in motionAmount of motion itself
Needs motion?No — a parked truck has inertiaYes — zero velocity means zero momentum
Vector or scalar?Scalar (just mass)Vector (direction matters)
Conserved?Not a conserved quantityConserved in isolated systems
Depends onMass onlyMass and velocity
Why students confuse them

'The truck has a lot of momentum standing still' is wrong — that's inertia talking. Momentum is zero when velocity is zero. Inertia explains why motion changes slowly; momentum bookkeeps how much motion exists.