IB Physics SL Topic A.2 — Forces & Momentum Paper 1 & 2 Core concept ~6 min read

Newton’s First Law

Newton’s first law is about what happens when the forces on an object are balanced: it simply carries on doing what it was already doing. No resultant force means no change in motion — and that includes an object that’s moving, not just one that’s standing still.

📘 What you need to know

What the law says

Newton’s three laws connect the forces on an object to how it moves. The first law deals with the case where those forces add up to nothing:

Newton’s first law An object stays at rest, or moves at constant velocity, unless acted on by a resultant force.

In other words:

What a resultant force does

A non-zero resultant force is the only thing that can change an object’s motion. It can do one of three things, depending on its direction relative to the motion:

speeds up v F slows down v F changes direction v F
A resultant force in the direction of motion speeds an object up; opposite to it, slows it down; at an angle, changes its direction.

Translational equilibrium

When the resultant force on an object is zero, we say it is in translational equilibrium. The key (and slightly surprising) point is that this covers two situations: an object at rest, and an object moving at a steady velocity. In both, the forces simply cancel out.

AT REST FN Fg v = 0 CONSTANT VELOCITY FN Fg driving Ff v
In both cases the resultant force is zero — equal up/down and equal left/right forces. Constant velocity is just as much “equilibrium” as standing still.

Because force is a vector, it’s easiest to split everything into horizontal and vertical directions. If the object is in equilibrium then, in each direction, the forces one way exactly match the forces the other way.

Worked examples

WE 1

A car at constant velocity

A car moves along a flat road at a constant velocity. The only horizontal forces are the driving force of 6 kN forwards and friction backwards. Find the size of the frictional force Ff.

driving 6 kN Ff = ? constant velocity → balanced forces
Constant velocity → resultant force = 0 so the horizontal forces must be balanced driving force = friction Ff = 6 kN
WE 2

A crate pulled across the floor

A 50 N crate is pulled across a level floor at constant velocity by a horizontal force of 18 N. State the normal force from the floor and the frictional force on the crate.

Vertical: at equilibrium, up = down FN = weight = 50 N normal force = 50 N (up) Horizontal: constant velocity, so left = right Ff = pull = 18 N friction = 18 N (backwards)
Quick reference: resultant force = 0 ⇄ balanced forces ⇄ translational equilibrium ⇄ at rest or constant velocity. A resultant force is needed to speed up, slow down, or turn.

💡 Top tips

⚠ Common mistakes

Why can something move with balanced forces? Because a resultant force causes acceleration, not motion itself. No acceleration means the forces must be balanced — even at high speed. Up next: Newton’s Second Law, which tells you exactly how a resultant force produces acceleration.

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