⚛ Laws of Motion ICSE · CH 3

Why does the world
move the way it does?

Chapter 3 of ICSE Class 9 Physics explores forces — what they are, how they change motion, and the universal rules (Newton's three laws) that govern every push, pull, collision, and orbit in the universe. Explore each idea below through animated, interactive simulations.

Contact & Non-contact Forces Newton's Laws I, II, III Momentum Gravitation & g Free Fall
F = ma drag the block →
1
3.1 – 3.3

Effect of Force & Types of Forces

A force is a push or pull on an object. It can change the state of rest or motion of a body, and it can change the shape or size of a body. Forces are classified by how they act on a body — through direct touch (contact forces) or from a distance, without touching (non-contact forces).

Two Main Effects of Force

(1) It can change the state of rest or motion of a body — i.e. it can produce or change motion.   (2) It can change the shape or size of a body — e.g. squeezing a sponge, stretching a spring, hammering a piece of metal.

① Contact Forces

Produced only when two bodies are physically touching each other.

Frictional Force

Opposes the relative motion (or tendency of motion) between two surfaces in contact.

Normal Reaction Force

The force exerted by a surface on a body resting on it, acting perpendicular (normal) to the surface.

Tension Force

The force developed in a stretched string, rope, or cable — equal and opposite at both ends, directed inward (toward the body).

Spring Force

A stretched or compressed spring exerts a restoring force trying to bring it back to its natural length.

② Non-Contact Forces

Act on a body even when the source of the force is not touching it — they act "at a distance."

Gravitational Force

Every particle of matter attracts every other particle in the universe. This is why objects fall toward the Earth.

Electrostatic Force

The force between two charged bodies. Like charges repel; unlike charges attract — e.g. a charged comb attracting bits of paper.

Magnetic Force

The force exerted by a magnet on magnetic materials (or other magnets) — like poles repel, unlike poles attract.

🧪 Simulation — Sort the Force

DRAG & CLASSIFY

Click a scenario card to see whether the force involved is a contact or non-contact force, and watch the force arrows animate.

Worked Example — Restoring Force

When a spring is stretched, it pulls its ends inward (toward its natural length); when compressed, it pushes its ends outward. In both cases the spring exerts an equal and opposite force on whatever is pulling/pushing it. This is called the restoring force and underlies oscillatory motion.

2
3.4 – 3.5

Newton's First Law of Motion & Inertia

Statement

A body continues to remain in its state of rest, or of uniform motion in a straight line, unless an external force is applied on it to change that state.

This law is also called Galileo's law of inertia. It tells us two things: (i) if a body is at rest, it remains at rest unless a force acts on it, and (ii) if a body is moving, it continues to move with the same speed and direction unless a force acts on it.

What is Inertia?

Inertia is the inherent property of every body to resist a change in its state of rest or of uniform motion. The greater the mass of a body, the greater is its inertia — that's why mass is a measure of inertia.

TypeMeaningEveryday Example
Inertia of RestTendency of a body to continue in its state of restA coin on a card flicked off a tumbler falls straight into the glass (the coin "stays behind")
Inertia of MotionTendency of a moving body to continue movingA passenger leans forward when a moving bus suddenly stops
Inertia of DirectionTendency of a body to continue moving in the same directionMud flies off a spinning bicycle wheel tangentially

🧪 Simulation — Tablecloth / Coin-Card Trick (Inertia of Rest)

ANIMATED

A coin rests on a card placed on a tumbler. Flick the card sharply — the coin's inertia of rest keeps it (almost) in place, and it drops straight into the tumbler.

Status: ready

🧪 Simulation — Bus Brakes Suddenly (Inertia of Motion)

ANIMATED

A passenger standing in a moving bus — when the bus brakes suddenly, the passenger's body (due to inertia of motion) continues moving forward and tends to fall forward.

Status: parked
More Everyday Examples

Shaking a tree: when you shake the branches, the leaves/fruits (which were at rest) tend to remain at rest due to inertia, while the branch moves — so they get separated and fall. A ball rolling on a smooth floor travels much farther than on a rough floor, because friction (an external force) is smaller — this shows that an object continues in motion unless something stops it.

3
3.7

Linear Momentum

It is common experience that a more massive object, or a faster-moving object, is harder to stop. This combined effect of mass and velocity is captured by the quantity called momentum.

Definition p = m × v vector quantity
Direction of momentum = direction of velocity. S.I. unit: kg m s⁻¹  |  C.G.S. unit: g cm s⁻¹

🧪 Simulation — Momentum Collision Lab

DRAG SLIDERS

Adjust the mass and velocity of two trolleys and watch how their momenta compare. Heavier or faster objects carry more momentum and are harder to stop.

4
3.6, 3.8 – 3.12

Inertia, Mass & Newton's Second Law

Three Kinds of Inertia — Illustrated

KindStatement
Inertia of RestA body at rest will remain at rest unless an external force acts on it.
Inertia of MotionA body moving with a constant velocity will remain moving with the same velocity unless an external force acts on it.
Inertia of DirectionA body moving in a particular direction tends to continue moving in that same direction unless an external force changes it.
Change in Momentum

Δp = m·Δv = m(v − u). When a force F acts on a body of mass m for time t, changing its velocity from u to v:

Rate of change of momentum = Force Rate of change of momentum = (mv − mu) / t = m(v − u)/t = ma

Newton's Second Law states that the rate of change of momentum of a body is directly proportional to the applied external force, and takes place in the direction of the force.

Newton's Second Law F = m × a   (if mass remains constant)
F ∝ Δp/Δt  →  F = k · m · a, and the constant k = 1 when units are chosen suitably (S.I. / C.G.S.)

S.I. & C.G.S. Units of Force

Newton (S.I.)

1 newton is the force which produces an acceleration of 1 m s⁻² in a body of mass 1 kg.

Dyne (C.G.S.)

1 dyne is the force which produces an acceleration of 1 cm s⁻² in a body of mass 1 g.

Relationship

1 newton = 10⁵ dyne

Since 1 kg = 1000 g and 1 m s⁻² = 100 cm s⁻²:
1 N = 1000 g × 100 cm s⁻² = 10⁵ g·cm·s⁻² = 10⁵ dyne

🧪 Simulation — F = ma Playground

INTERACTIVE GRAPH

Push the block with different forces and masses. Watch the acceleration animate in real time, and see the graphs of a vs F (mass constant) and a vs m (force constant).

Worked Example

A force of 16 N acts on a body of mass 0·8 kg, initially at rest. Acceleration a = F/m = 16 ÷ 0·8 = 20 m s⁻². Using v = u + at, after 1 s the velocity becomes v = 0 + 20 × 1 = 20 m s⁻¹.

Applications of Newton's Second Law

  • Catching a ball: A cricketer moves his hands backward while catching a fast ball. This increases the time of impact, reducing the rate of change of momentum, and hence the force on the hands.
  • Athletes' long jump / high jump: Sand or cushioned landing increases the time taken to stop, reducing the force on the body.
  • Glass vs plastic vessels: A glass vessel breaks when dropped because it stops in a very short time (large force), while a plastic vessel survives because it takes more time to stop (smaller force).

Newton's First Law from the Second Law

Newton's Second Law is F = ma. If F = 0, then a = 0, meaning the body's velocity does not change — it remains at rest or moves with uniform velocity. This is exactly Newton's First Law, so the first law can be derived from the second.

5
3.13

Newton's Third Law of Motion

Statement

To every action there is an equal and opposite reaction. Action and reaction act on two different bodies, are equal in magnitude, opposite in direction, and act simultaneously.

Mathematical Form FAB = − FBA
The force FAB exerted by A on B is equal in magnitude but opposite in direction to FBA, exerted by B on A.

🧪 Simulation — Action–Reaction Pairs

PICK A SCENARIO

Choose a real-life situation and watch the equal-and-opposite force pair animate, with both forces shown as labelled arrows acting on different bodies.

Book on a Table

The book pushes down on the table with its weight W (action). The table pushes up on the book with an equal normal reaction R (reaction). Since R = W, the book stays in equilibrium — at rest.

Walking on the Ground

When you walk, your foot pushes the ground backward (action). The ground pushes your foot forward with an equal and opposite reaction — this reaction propels you forward.

Swimming

A swimmer pushes water backward with their hands and feet (action). The water pushes the swimmer forward with an equal and opposite reaction — propelling them through the water.

Firing a Bullet from a Gun

The gun exerts a forward force on the bullet (action). The bullet exerts an equal and opposite backward force (reaction) on the gun, causing it to recoil.

Rocket Propulsion

Hot gases are expelled downward/backward from the rocket's nozzle at high speed (action). The gases exert an equal and opposite force on the rocket, pushing it upward/forward (reaction) — this is how rockets move in the vacuum of space.

A Boat & the Shore

When stepping off a boat onto the shore, you push the boat backward with your foot (action). The boat pushes you forward toward the shore (reaction) — and the boat drifts away from the shore.

Important Note

Action and reaction never cancel each other out, even though they are equal and opposite — because they act on two different bodies. Forces cancel only when they act on the same body in opposite directions.

6
3.14 – 3.16

Universal Law of Gravitation & Acceleration due to Gravity

Newton's Law of Gravitation

Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The force acts along the line joining the two particles, and is always attractive.

Formula F = G m₁m₂ / r²
G = Universal Gravitational Constant = 6·67 × 10⁻¹¹ N m² kg⁻²

Applications of the Universal Law

  • Predicting tides: the gravitational pull of the Moon (and Sun) causes ocean tides.
  • Astronomy: predicting eclipses, orbits of planets and satellites.
  • Determining the mass and size of celestial bodies like the Sun, planets, and moons.
  • Discovery of new planets: Neptune was discovered by analysing irregularities in the orbit of Uranus, predicted using this law.
  • Launching satellites and rockets (e.g. India's GSAT, Mangalyaan, Gaganyaan) using calculations based on gravitation.

Acceleration due to Gravity (g)

When a body falls freely under gravity alone (no air resistance), it experiences a constant acceleration called g, directed toward the centre of the Earth.

g = GM/R² ≈ 9·8 m s⁻²

Here M = mass of Earth, R = radius of Earth. The value of g decreases with altitude and depth, and varies slightly with latitude (slightly less at the equator than at the poles).

🧪 Simulation — Gravity on Different Worlds

DROP & COMPARE

Drop the same ball on Earth, the Moon, and Jupiter to see how different values of g affect the rate of falling.

Mass

  • Quantity of matter contained in a body.
  • A scalar quantity.
  • Measured in kilograms (kg) using a beam balance.
  • Constant — does not change with location.
  • Never zero for any material body.

Weight

  • The force with which the Earth attracts a body: W = mg
  • A vector quantity, directed toward the centre of the Earth.
  • Measured in newtons (N) using a spring balance.
  • Varies from place to place, since g varies.
  • Can be zero (e.g. in a state of weightlessness, or at the centre of the Earth where g = 0).
7
3.17 – 3.18

Free Fall & Equations of Motion under Gravity

When a body falls freely under gravity (ignoring air resistance), its motion follows the same equations as uniformly accelerated motion, with acceleration a replaced by g.

Falling Downward (motion in direction of g)

v = u + gt
h = ut + ½gt²
v² = u² + 2gh

If the body starts from rest, u = 0.

Thrown Vertically Upward (motion against g)

v = u − gt
h = ut − ½gt²
v² = u² − 2gh

At the highest point, v = 0. Maximum height: hmax = u²/2g. Time to reach max height: t = u/g. Time of flight (up + down) = 2u/g.

🧪 Simulation — Vertical Motion Under Gravity

LAUNCH & GRAPH

Choose to drop the ball or throw it upward with an initial velocity, and watch its height-vs-time and velocity-vs-time graphs build live.

Worked Example

A stone is dropped from a height of 78·4 m (g = 9·8 m s⁻²). Using h = ½gt² with u = 0: 78·4 = ½ × 9·8 × t² → t² = 16 → t = 4 s. Final velocity: v = gt = 9·8 × 4 = 39·2 m s⁻¹.

8
Check Your Understanding

Quick Quiz — Laws of Motion

Test what you've learned. Click an option — correct answers turn green, wrong answers turn red.