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Newton's Laws of Motion Explained Simply (With Formulas for Exams)

By Know.it editorial teamPublished Updated 8 min readEnglish

Quick answer

Newton's three laws explain all motion. The first says objects resist change (inertia). The second gives the key formula F = ma, where force is in newtons, mass in kg and acceleration in m/s². The third says every action has an equal and opposite reaction, acting on a different object.

In one lineNewton's laws of motion are three rules stating that objects resist changes in motion, that force equals mass times acceleration (F = ma), and that every force comes in an equal and opposite pair acting on different objects.

Picture this: you're sitting in an auto-rickshaw and the driver brakes hard. Your body lurches forward even though the auto stopped. Nothing pushed you — your body simply wanted to keep moving. That everyday jolt is Newton's first law doing its thing.

These three laws are the backbone of the motion chapter, and they show up in almost every physics paper. Let's go through them one by one, slowly, with the formulas and the traps examiners love.

What are Newton's laws of motion?

Newton gave us three laws that together explain why things move, stop, or change direction. Think of them as three friends who always work as a team: one talks about staying still, one about speeding up, and one about pushing back.

The animated lesson calls them the Big Three. First law: inertia, meaning objects resist change. Second law: F = ma, meaning force causes acceleration. Third law: action equals reaction. Learn these three one-liners and half your revision is done.

These laws aren't just for exams. A cricket ball that keeps flying after you hit it, a rocket lifting off, a book resting on your desk — all of it follows the same three rules.

Newton's first law and inertia explained simply

The first law says an object stays at rest, or keeps moving at a constant velocity, unless a net force acts on it. That's it. No force, no change.

This tendency to keep doing what you're already doing is called inertia. And here's the bit most students get wrong: inertia is not a force. It's a property of matter — a resistance to change. Nothing is pushing you forward in that braking auto; your body just carries on moving because no force has stopped it yet.

Inertia depends on mass. A loaded truck has far more inertia than a cycle, which is why stopping a truck takes so much longer. Heavier object, bigger resistance to change.

Common mistake: calling inertia a force

In an exam, never write 'inertia force pushed the passenger forward'. Write instead: 'due to inertia, the passenger's body tends to continue moving forward while the vehicle stops'. Same idea, but now it's correct and it earns full marks.

Newton's second law: the F = ma formula

The second law is the most tested formula in physics: F = m × a. Force equals mass times acceleration.

The units matter as much as the formula. Force is measured in newtons (N), mass in kilograms (kg), and acceleration in metres per second squared (m/s²). One newton is the force needed to accelerate a 1 kg mass at 1 m/s².

This one equation solves most numericals in the chapter. If the question gives you any two of force, mass and acceleration, you can always find the third by rearranging.

  • F = m × a (find force)
  • m = F ÷ a (find mass)
  • a = F ÷ m (find acceleration)
  • Unit check: N = kg × m/s²

Worked example

A 2 kg ball accelerates at 3 m/s². What's the force? Use F = ma, so F = 2 × 3 = 6 N. That's the whole answer — just remember to write the unit.

Now flip it: if a 6 N force acts on a 2 kg ball, the acceleration is a = F ÷ m = 6 ÷ 2 = 3 m/s². Same numbers, different question. Practise both directions and numericals become easy marks.

Exam trap: direction of force and acceleration

Force and acceleration always point in the same direction. Always. If a student writes them in opposite directions, the answer is wrong.

When the force acts opposite to the motion, the object slows down. We call that deceleration. So a braking car has its force pointing backwards while it still moves forwards — and that's exactly why it stops.

Newton's third law: action and reaction

Every action has an equal and opposite reaction. The forces are equal in magnitude, opposite in direction, and they act on different objects.

The rocket example makes it clear. The rocket pushes gas downwards; the gas pushes the rocket upwards. Two forces, equal size, opposite ways, on two different things. That's how the rocket rises.

The same thing happens when you walk. You push the ground backwards, and the ground pushes you forwards. Without that reaction, you'd just slip in place.

The trap: 'different objects'

Students often think action and reaction cancel out. They don't, because they act on different objects. A force on object A and a force on object B can't cancel each other — cancellation only happens when two forces act on the same object. This one line is worth a full mark in most papers.

Newton's laws in one memory hook

Here's the hook from the lesson: 'F = ma, objects resist, and forces come in pairs.' Three laws, three ideas, one sentence. Say it out loud before you enter the exam hall.

Map it back: objects resist is the first law (inertia), F = ma is the second law, and forces come in pairs is the third law. Once the hook is in your head, the rest follows.

Keep the units close too — N, kg, m/s². Examiners love a missing unit, and it's the easiest mark to lose.

Quick revision table for the exam

Use this as your last-minute checklist. Read it once the night before and once in the morning.

If you can state each law in one line, give its formula, and name its trap, you're ready for almost any question from this chapter.

  • First law: an object stays at rest or in constant motion unless a net force acts — this is inertia
  • Second law: F = ma — force causes acceleration, units N, kg, m/s²
  • Third law: every action has an equal and opposite reaction on a different object
  • Trap 1: inertia is not a force
  • Trap 2: force and acceleration point the same way
  • Trap 3: action and reaction act on different objects, so they never cancel

Key takeaways

  • Newton's first law says objects resist change in motion, and that resistance is called inertia.
  • Inertia is a property of matter, not a force — never write 'inertia force' in an answer.
  • F = ma is the most tested formula: force in newtons, mass in kg, acceleration in m/s².
  • Force and acceleration always point in the same direction; opposite means deceleration.
  • Action and reaction are equal and opposite but act on different objects, so they never cancel.
  • Memory hook: F = ma, objects resist, and forces come in pairs.

Key terms

Inertia
An object's resistance to any change in its state of rest or motion; depends on mass.
Net force
The overall force on an object after all individual forces are combined.
Newton (N)
The SI unit of force; the force that accelerates 1 kg at 1 m/s².
Acceleration
The rate of change of velocity, measured in m/s².
Deceleration
Slowing down, which happens when force acts opposite to the direction of motion.
Action-reaction pair
Two equal and opposite forces that act on two different objects.

Practice questions

  1. A 2 kg ball accelerates at 3 m/s². What is the force acting on it?

    • (a) 1.5 N
    • (b) 5 N
    • (c) 6 N
    • (d) 9 N
    Answer key

    (c) 6 N — F = m × a = 2 × 3 = 6 N.

  2. Inertia is best described as:

    • (a) A force that pushes objects backward
    • (b) A property of matter that resists change in motion
    • (c) The weight of an object
    • (d) The speed of an object
    Answer key

    (b) A property of matter that resists change in motion — Inertia is a property of matter, not a force — it's the resistance to change.

  3. Action and reaction forces never cancel because they:

    • (a) Are unequal in size
    • (b) Act in the same direction
    • (c) Act on different objects
    • (d) Only exist in space
    Answer key

    (c) Act on different objects — They act on different objects, so they can't cancel each other out.

  4. If a 10 N force acts on a 5 kg object, its acceleration is:

    • (a) 0.5 m/s²
    • (b) 2 m/s²
    • (c) 5 m/s²
    • (d) 50 m/s²
    Answer key

    (b) 2 m/s² — a = F ÷ m = 10 ÷ 5 = 2 m/s².

  5. A car brakes and slows down. The force on it acts:

    • (a) In the same direction as motion
    • (b) Opposite to the direction of motion
    • (c) At right angles to motion
    • (d) No force acts on it
    Answer key

    (b) Opposite to the direction of motion — When force opposes motion, the object decelerates, which is why the car slows down.

Frequently asked questions

What is inertia in simple words?

Inertia is an object's tendency to keep doing what it's already doing — staying at rest, or moving at the same speed in the same direction. It's a property of matter that depends on mass, not a force. A heavier object has more inertia, which is why a truck is harder to stop than a cycle.

What is the formula for Newton's second law?

F = m × a, where F is force in newtons, m is mass in kilograms, and a is acceleration in metres per second squared. You can rearrange it as m = F ÷ a or a = F ÷ m depending on what the question gives you.

Why don't action and reaction forces cancel each other?

Because they act on different objects. The action force acts on one object and the reaction force acts on another. Forces only cancel when they act on the same object. This is the most common mistake in third-law answers, so mention 'different objects' clearly.

What is one newton of force?

One newton is the force needed to accelerate a mass of 1 kg at 1 m/s². It comes straight from F = ma with m = 1 kg and a = 1 m/s², giving F = 1 N. Remembering this makes unit-based questions much easier.

How do I solve numericals using F = ma?

Write down what's given, note what's asked, then pick the rearranged form. If force and mass are given, use a = F ÷ m. If mass and acceleration are given, use F = m × a. Always write the unit at the end — N for force, kg for mass, m/s² for acceleration.

Why does a rocket move upward if it pushes gas downward?

Because of Newton's third law. The rocket pushes gas downwards, and the gas pushes the rocket upwards with an equal and opposite force. The two forces act on different objects — the gas and the rocket — so they don't cancel, and the rocket rises.

Quick recap: Newton's three laws cover all motion: objects resist change (inertia), force equals mass times acceleration (F = ma), and every force comes in an equal and opposite pair on different objects. Learn the formulas, watch the three traps, and this chapter becomes easy marks.

Sources and further reading

Know.it editorial team

Written by the Know.it editorial team from the script of an animated Know.it lesson, checked against the lesson's own facts and the sources listed below. Know.it turns any question into a short visual lesson with voice and animation.

Reviewed: 11 November 2026 · Editorial standards · AI transparency