Class 9 Science Notes: How Forces Affect Motion
Premium CBSE + Foundation module on force, balanced and unbalanced forces, inertia, Newton’s laws, momentum, impulse and motion-based numericals.
Chapter Overview
This chapter explains why objects start moving, stop moving, speed up, slow down or change direction.
What students will learn
- Meaning, magnitude and direction of force
- Balanced and unbalanced forces
- Friction, normal force and gravitational force
- Newton’s three laws of motion
- Inertia, momentum, impulse and conservation of momentum
Why it matters
Every motion around us — walking, cycling, catching a ball, launching a rocket, seat belts, recoil of a gun and collision of vehicles — can be explained using forces and Newton’s laws.
Exam relevance
CBSE commonly asks definitions, reason-based questions, graph-based questions, numericals using F = ma, momentum questions and action-reaction pair explanations.
Table of Contents
Complete Theory Section
Introduction: What Causes Motion to Change?
Motion means change in position with time. But the deeper question is: what causes a change in motion?
In earlier motion chapters, we describe motion using distance, displacement, speed, velocity and acceleration. In this chapter, we study the cause behind change in motion. That cause is called force.
For example, when you kick a football, the ball starts moving. When a goalkeeper catches the ball, the ball stops. When a cricket bat hits a moving ball, its direction changes. When you squeeze a lemon, its shape changes. All these changes occur due to force.
Concept of Force
A force is a push or pull that can change the state of rest, state of motion, direction, speed or shape of an object.
Force is a vector quantity. This means force has both magnitude and direction. If either magnitude or direction changes, the effect of force also changes.
Magnitude of force
The magnitude of force tells us how strong the force is. A stronger push produces a greater effect than a weaker push, provided other factors remain the same.
Direction of force
The direction of force decides the direction in which acceleration may be produced. A force in the direction of motion increases speed, while a force opposite to motion decreases speed.
newton or N1 N: The force that produces an acceleration of 1 m s-2 in a body of mass 1 kg.
Important Forces in This Chapter
The motion of an object depends on the net effect of all forces acting on it.
| Force | Meaning | Direction | Daily-life example |
|---|---|---|---|
| Applied force | Force applied by a person or object through direct contact. | In the direction of push or pull. | Pushing a table. |
| Frictional force | Force that opposes relative motion between surfaces in contact. | Opposite to motion or tendency of motion. | A sliding box eventually stops. |
| Normal force | Force exerted by a surface on an object in contact with it. | Perpendicular to the surface. | Table pushing a book upward. |
| Gravitational force | Attractive force exerted by Earth on objects. | Towards the centre of Earth. | Fruit falling from a tree. |
| Tension | Pulling force transmitted through a string, rope or cable. | Along the string, away from the object. | Two boxes connected by a rope. |
| Air resistance | Frictional force exerted by air on a moving object. | Opposite to motion. | Parachute slowing down a person. |
Balanced and Unbalanced Forces
The actual effect on motion is decided by the net force, not by one single force alone.
Balanced Forces
When two or more forces acting on an object cancel each other and the net force becomes zero, the forces are called balanced forces.
Unbalanced Forces
When the forces acting on an object do not cancel each other and a non-zero net force acts on the object, the forces are called unbalanced forces.
| Basis | Balanced Force | Unbalanced Force |
|---|---|---|
| Net force | Zero | Non-zero |
| Effect on rest object | Object remains at rest | Object may start moving |
| Effect on moving object | Uniform motion continues | Speed or direction changes |
| Acceleration | Zero | Non-zero |
| Example | Book resting on table | Kicking a football |
Fnet = F1 + F2Opposite direction:
Fnet = larger force - smaller force
Numerical Example
Question: Two forces of 18 N and 7 N act on a block in opposite directions. Find the net force.
Solution: Net force = 18 N – 7 N = 11 N, in the direction of the 18 N force.
How Galileo Laid the Foundation of the First Law
Galileo challenged the old belief that continuous force is necessary to keep an object moving.
Before Galileo, many people believed that a moving object naturally stops because motion itself needs continuous force. Galileo understood that objects stop mainly because of opposing forces like friction.
Newton’s First Law of Motion
Also called the law of inertia.
This law tells us that objects resist change in their state of motion. If an object is at rest, it will not start moving by itself. If an object is moving with constant velocity, it will not change speed or direction by itself. A net external force is required to change its state.
Fnet = 0, a = 0Therefore: Object remains at rest or continues uniform motion.
Numerically Explaining First Law Using Second Law
From Newton’s Second Law:
F = ma
If no net force acts on the object, then F = 0.
So, 0 = ma. If mass is not zero, then a = 0.
Acceleration zero means velocity does not change. Therefore, the object remains at rest or keeps moving with constant velocity. This supports Newton’s First Law.
Inertia: Qualitative and Quantitative Meaning
Inertia is the natural resistance of an object to change in its state of rest or motion.
Qualitative Explanation
Qualitatively, inertia tells us whether an object resists change strongly or weakly. A heavy stone is harder to move than a light plastic ball because the stone has more inertia.
Quantitative Explanation
Quantitatively, inertia is measured by mass. Greater mass means greater inertia. Lesser mass means lesser inertia.
MassMore mass ⇒ More inertia
| Type of Inertia | Meaning | Example |
|---|---|---|
| Inertia of rest | Tendency of a body at rest to remain at rest. | Passengers fall backward when a bus suddenly starts. |
| Inertia of motion | Tendency of a moving body to continue moving. | Passengers fall forward when a moving bus suddenly stops. |
| Inertia of direction | Tendency of a body to continue moving in the same direction. | Mud from a rotating tyre flies tangentially. |
Numerical/Concept Example
Question: Which has more inertia: a bicycle or a truck?
Answer: A truck has more inertia because it has more mass. Since mass is the measure of inertia, the truck resists change in motion more strongly.
Newton’s Second Law of Motion
This law gives the mathematical relation between force, mass and acceleration.
For Class 9 calculations, the most commonly used form is:
F = maF = net force, m = mass, a = acceleration
Conceptual Meaning
- For the same mass, greater force produces greater acceleration.
- For the same force, greater mass produces smaller acceleration.
- Acceleration is produced in the direction of net force.
Derivation of F = ma from Momentum
Let an object of mass m move with initial velocity u. A force acts on it for time t and changes its velocity to v.
Initial momentum = mu
Final momentum = mv
Change in momentum = mv – mu = m(v – u)
Rate of change of momentum = m(v – u) / t
But acceleration, a = (v – u) / t
Therefore, rate of change of momentum = ma
According to Newton’s Second Law, force is proportional to rate of change of momentum. In SI units, the proportionality constant is 1.
F = ma
Numerical Example 1
Question: A force of 20 N acts on a body of mass 5 kg. Find acceleration.
Solution: F = ma
20 = 5 × a
a = 20 / 5 = 4 m s-2
Numerical Example 2
Question: A body of mass 10 kg accelerates at 3 m s-2. Find the net force.
Solution: F = ma = 10 × 3 = 30 N
Momentum, Change in Momentum and Impulse
Momentum measures the quantity of motion possessed by a moving object.
p = mvp = momentum, m = mass, v = velocity
SI unit:
kg m s-1
Momentum is a vector quantity because velocity is a vector quantity. Its direction is the same as the direction of velocity.
Change in Momentum
Change in momentum = final momentum - initial momentumΔp = mv - mu = m(v - u)
Impulse
Impulse = F × t = ΔpSI unit:
N s or kg m s-1
Numerical Example
Question: A ball of mass 0.2 kg moving at 20 m s-1 is brought to rest in 0.1 s. Find the average force.
Solution: u = 20 m s-1, v = 0, m = 0.2 kg, t = 0.1 s
Change in momentum = m(v – u) = 0.2(0 – 20) = -4 kg m s-1
Force = Δp / t = -4 / 0.1 = -40 N
The negative sign means force acts opposite to the direction of motion.
Newton’s Third Law of Motion
For every interaction, forces always occur in pairs.
Action force = Reaction force in magnitudeDirections are oppositeThey act on different objects
Action and reaction forces never cancel each other because they act on two different objects. Balanced forces cancel only when they act on the same object.
| Situation | Action | Reaction |
|---|---|---|
| Walking | Foot pushes ground backward | Ground pushes foot forward |
| Swimming | Swimmer pushes water backward | Water pushes swimmer forward |
| Rocket launch | Rocket pushes gases downward | Gases push rocket upward |
| Gun recoil | Gun pushes bullet forward | Bullet pushes gun backward |
Numerical Example
Question: A gun of mass 5 kg exerts a force of 100 N on a bullet. What force does the bullet exert on the gun?
Answer: According to Newton’s Third Law, the bullet exerts an equal and opposite force of 100 N on the gun.
Conservation of Momentum
In an isolated system, total momentum before interaction equals total momentum after interaction.
m1u1 + m2u2 = m1v1 + m2v2
Here, m1 and m2 are masses of two bodies, u1 and u2 are their initial velocities, and v1 and v2 are their final velocities.
Simple Derivation
During collision, body A exerts force on body B. Body B exerts equal and opposite force on body A. These forces are internal to the system. If external force is absent, the gain of momentum of one body equals the loss of momentum of the other body. Therefore, total momentum remains constant.
Numerical Example
Question: A 2 kg object moving at 4 m s-1 collides with a 3 kg object at rest. After collision, both move together. Find their common velocity.
Solution: m1 = 2 kg, u1 = 4 m s-1, m2 = 3 kg, u2 = 0
Total initial momentum = 2 × 4 + 3 × 0 = 8 kg m s-1
Combined mass = 2 + 3 = 5 kg
Final momentum = 5v
5v = 8
v = 8 / 5 = 1.6 m s-1
Motion Graphs Using HTML Canvas
These graphs help connect Newton’s laws with position-time and velocity-time graphs.
Object at Rest: Position-Time Graph
Position remains constant with time. Velocity = 0.
Uniform Motion: Position-Time Graph
Straight sloping line. Velocity is constant.
Constant Velocity: Velocity-Time Graph
Horizontal line. Acceleration = 0 and net force = 0.
Acceleration & Retardation: Velocity-Time Graph
Rising line shows acceleration; falling line shows retardation.
Important Scientific Terms
| Term | Meaning | Unit / Key Point |
|---|---|---|
| Force | Push or pull that can change state of motion or shape. | N |
| Magnitude | Numerical strength of a physical quantity. | Example: 10 N |
| Net force | Resultant force acting on an object. | Decides acceleration |
| Inertia | Tendency to resist change in rest or motion. | Measured by mass |
| Momentum | Product of mass and velocity. | kg m s-1 |
| Impulse | Force multiplied by time, equal to change in momentum. | N s |
| Acceleration | Rate of change of velocity. | m s-2 |
| Normal force | Contact force exerted by a surface perpendicular to it. | Balances weight on horizontal surface |
Concept Maps and Flowcharts
Flowchart: How Force Changes Motion
Quick Mind Map
Force
Magnitude + direction, SI unit newton.
Net Force
Zero: balanced. Non-zero: unbalanced.
First Law
Inertia and uniform motion.
Second Law
F = ma, force changes momentum.
Third Law
Action-reaction pairs on different objects.
Momentum
p = mv, conserved if no external force.
Important Formulas and Units
| Concept | Formula | SI Unit | Use |
|---|---|---|---|
| Acceleration | a = (v – u) / t | m s-2 | To calculate change in velocity per unit time. |
| Force | F = ma | N | Newton’s Second Law numericals. |
| Weight / Gravitational force | W = mg | N | Force with which Earth attracts a body. |
| Momentum | p = mv | kg m s-1 | Quantity of motion. |
| Change in momentum | Δp = m(v – u) | kg m s-1 | Used in impulse and force calculations. |
| Impulse | Impulse = F × t = Δp | N s | Collision, catching, airbags. |
| Conservation of momentum | m1u1 + m2u2 = m1v1 + m2v2 | kg m s-1 | Collision and recoil problems. |
NCERT Focus Section
Important NCERT Ideas
- Force has magnitude and direction.
- Multiple forces may act, but motion depends on net force.
- Friction acts opposite to motion or tendency of motion.
- Normal force acts perpendicular to the surface.
- Newton’s First Law describes motion when net force is zero.
- Newton’s Second Law relates force, mass and acceleration.
- Newton’s Third Law forces act on different objects.
NCERT-Based Questions
- Why does a moving bicycle stop after some time if pedalling is stopped?
- Why does a box not move when a small force is applied?
- Why does a person fall forward when a moving bus stops suddenly?
- Why does a rocket move upward when gases are expelled downward?
- Why do action and reaction forces not cancel each other?
Board Exam Focus
Most Repeated Concepts
- Balanced vs unbalanced forces
- Inertia examples
- F = ma numericals
- Momentum and impulse
- Action-reaction pairs
Common Question Patterns
- Define force, inertia and momentum.
- Give reason for daily-life observations.
- Calculate force from mass and acceleration.
- Interpret velocity-time graphs.
- Explain safety features using impulse.
Writing Tip
In reason-based answers, follow this format: identify the law, explain the physical cause, connect it to the example, and conclude in one clear line.
Foundation / Olympiad Edge
HOTS Point 1: Zero force does not mean zero velocity
If net force is zero, acceleration is zero. Velocity may be zero or constant non-zero. This is a very important conceptual distinction.
HOTS Point 2: Equal forces can produce unequal accelerations
In action-reaction pairs, forces are equal but accelerations can differ because masses may be different. Example: Earth and falling fruit attract each other equally, but fruit accelerates much more noticeably.
HOTS Point 3: Internal forces cancel for a system
When two connected bodies are treated as one system, tension is internal and need not be considered for calculating acceleration of the whole system.
HOTS Point 4: Momentum is directional
Momentum has direction. In opposite direction collisions, use positive and negative signs carefully.
Common Mistakes
Correct: Unit name is newton, symbol is N.
Correct: They act on different objects.
Correct: 50 g = 0.05 kg.
Correct: Mass is amount of matter; weight is gravitational force.
Correct: Force is needed to change motion.
Correct: Momentum is vector, so signs matter.
Quick Revision Sheet
One-Minute Concepts
- Force is a push or pull.
- Force has magnitude and direction.
- Net force decides acceleration.
- Balanced force means net force zero.
- Unbalanced force changes motion.
- Inertia is resistance to change.
Must-Remember Formulas
- F = ma
- p = mv
- Δp = m(v – u)
- Impulse = F × t = Δp
- W = mg
- m1u1 + m2u2 = m1v1 + m2v2
Three Laws in One Line
- First Law: No net force means no change in velocity.
- Second Law: Force equals mass times acceleration.
- Third Law: Forces occur in equal and opposite pairs.
Exam Trigger Words
- Sudden start / stop → inertia
- Catching ball / airbag → impulse
- Rocket / walking / swimming → third law
- Constant velocity → zero net force
- Collision / recoil → momentum conservation
Practice Questions
A. MCQs
- The SI unit of force is: (a) joule (b) newton (c) watt (d) pascal
- If net force on a moving object is zero, the object will: (a) stop immediately (b) move with constant velocity (c) accelerate (d) change direction
- Inertia of an object depends on: (a) volume (b) speed only (c) mass (d) shape
- Momentum is given by: (a) ma (b) mv (c) m/v (d) v/m
- Newton’s Second Law gives: (a) F = ma (b) p = mv (c) W = mg only (d) v = u + at
- Action and reaction forces act on: (a) same object (b) different objects (c) no object (d) only stationary objects
- When a bus suddenly stops, passengers fall forward due to: (a) inertia of rest (b) inertia of motion (c) inertia of direction (d) gravity only
- Impulse equals: (a) force/time (b) force × time (c) mass × acceleration (d) velocity/time
- A force of 10 N acts on a 2 kg body. Acceleration is: (a) 2 m s-2 (b) 5 m s-2 (c) 10 m s-2 (d) 20 m s-2
- If a velocity-time graph is horizontal, acceleration is: (a) zero (b) increasing (c) decreasing (d) infinite
B. Fill in the Blanks
- The force that opposes motion between two surfaces is called __________.
- The tendency of a body to resist change in motion is called __________.
- The SI unit of momentum is __________.
- Impulse is equal to change in __________.
- If net force is zero, acceleration is __________.
- Weight is given by the formula __________.
C. True / False
- Force is a scalar quantity.
- Balanced forces can change the state of motion of an object.
- Mass is a measure of inertia.
- Action and reaction forces are equal in magnitude.
- Impulse and momentum have the same SI units.
- Friction always helps motion.
D. Assertion-Reason Questions
- Assertion: A passenger falls backward when a bus suddenly starts.
Reason: The upper part of the body tends to remain at rest due to inertia. - Assertion: Action and reaction forces do not cancel each other.
Reason: They act on two different objects. - Assertion: A heavier object has more inertia.
Reason: Mass is the measure of inertia. - Assertion: A cricketer moves hands backward while catching a ball.
Reason: Increasing stopping time reduces the force. - Assertion: A body moving with constant velocity has zero net force.
Reason: Constant velocity means zero acceleration.
E. Very Short Answer Questions
- Define force.
- What is the SI unit of force?
- What is inertia?
- Write the formula for momentum.
- What is impulse?
- State Newton’s First Law.
- State Newton’s Third Law.
- What is normal force?
F. Short Answer Questions
- Differentiate between balanced and unbalanced forces.
- Explain why a moving bicycle slows down when pedalling is stopped.
- Why do passengers fall forward when a moving bus stops suddenly?
- Explain Newton’s Second Law with formula and units.
- Why does a gun recoil when a bullet is fired?
- Why are airbags useful during accidents?
G. Long Answer Questions
- Explain Newton’s three laws of motion with examples.
- Derive F = ma from Newton’s Second Law using momentum.
- Explain inertia and its types with daily-life examples.
- State and explain conservation of momentum with one numerical example.
H. Case Study Questions
Case 1: A student observes that a toy car travels a longer distance on a smooth tile floor than on a rough carpet after being pushed with the same force.
- Which force is responsible for slowing the toy car?
- On which surface is friction smaller?
- Why does the car travel farther on the smooth surface?
- What would happen on an ideal frictionless surface?
Case 2: A cricket fielder catches a fast-moving ball by moving his hands backward.
- Which physical concept is involved?
- What happens to the stopping time?
- What happens to the force on the hands?
- Write the impulse relation used here.
I. Numericals
- A force of 40 N acts on a body of mass 8 kg. Find acceleration.
- A body of mass 12 kg accelerates at 2.5 m s-2. Find force.
- Find the momentum of a 5 kg body moving at 6 m s-1.
- A 0.1 kg ball moving at 30 m s-1 is stopped in 0.2 s. Find average force.
- A 2 kg object moving at 5 m s-1 comes to rest. Find change in momentum.
- A force of 15 N acts for 4 s. Find impulse.
- A 3 kg object moving at 4 m s-1 collides and sticks with a 1 kg object at rest. Find common velocity.
- Find the weight of a 10 kg object. Take g = 9.8 m s-2.
Answer Key
A1. b
A2. b
A3. c
A4. b
A5. a
A6. b
A7. b
A8. b
A9. b
A10. a
B1. friction
B2. inertia
B3. kg m s-1
B4. momentum
B5. zero
B6. W = mg
C1. False
C2. False
C3. True
C4. True
C5. True
C6. False
D1. Both A and R true; R explains A.
D2. Both A and R true; R explains A.
D3. Both A and R true; R explains A.
D4. Both A and R true; R explains A.
D5. Both A and R true; R explains A.
I1. a = 5 m s-2
I2. F = 30 N
I3. p = 30 kg m s-1
I4. F = -15 N; magnitude 15 N
I5. Δp = -10 kg m s-1
I6. Impulse = 60 N s
I7. v = 3 m s-1
I8. W = 98 N
Most Important Questions Likely to Appear in CBSE Exams
- State Newton’s First Law and explain it with two examples.
- Why is Newton’s First Law also called the law of inertia?
- Derive F = ma using change in momentum.
- Why does a passenger fall forward when a moving bus stops suddenly?
- Explain why action and reaction forces do not cancel each other.
- Why does a rocket move upward when gases move downward?
- Differentiate between mass and weight.
- Explain impulse using the example of a cricketer catching a ball.
- Solve a numerical using conservation of momentum.
- Interpret a velocity-time graph and find force using F = ma.

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