What is Force?
A force is a push or pull acting on an object that can change its state of rest, state of motion, speed, direction of motion, or shape.
Force is a Vector Quantity:
A force has both:
  • Magnitude – How large the force is (measured in newtons).
  • Direction – The direction in which the force acts.
Example
If Rahul pushes a box with \(20\ N\) towards the east, then
  • Magnitude \(=\) \(20\ N\)
  • Direction \(=\) East
Without direction, the force is not completely described.
 
Balanced and Unbalanced Forces:
 
Characteristics Balanced Force Unbalanced Force
Definition Balanced forces are equal in magnitude and opposite in direction. When forces acting on an object are not equal, the net force is not zero.
Effects
  • \(Net\ force\ =\ 0\ N\)
  • No acceleration
  • Object remains at rest or continues moving with constant velocity
  • Produces acceleration
  • Changes speed
  • Changes direction
  • Stops or starts motion
Example
Two students pull a rope with \(100\ N\) each in opposite directions.
Net force
\(100−100=0\ N\)
The rope does not move.
One student pulls with \(80\ N\) and another with \(50\ N\).
Net force
\(80−50=30\ N\)
The object moves towards the larger force.
 
Net Force and Constant Velocity:
According to Newton's First Law, if an object is moving with constant velocity, then
  • \(Acceleration\ =\ 0\)
  • \(Net\ force\ =\ 0\ N\)
This does not mean no forces are acting.
It means all forces are balanced.
 
Example
A car moving at constant speed on a straight road has
  • \(Engine\ force\ =\ Friction\ +\ Air\ resistance\)
Therefore,
\(Net\ force\ =\ 0\)
 
Friction:
Friction is the force that opposes the relative motion between two surfaces in contact.
Important Points:
  • Always acts opposite to the direction of motion
  • Exists only when two surfaces are in contact
  • Depends on the nature of the surfaces.
Advantages of Friction Disadvantages of Friction Reducing Friction
  • Helps us walk.
  • Helps vehicles move.
  • Helps us write on paper.
  • Allows brakes to stop vehicles.
  • Prevents objects from slipping.
  • Produces heat.
  • Causes wear and tear.
  • Reduces efficiency.
  • Wastes energy.
  • Lubricants (oil, grease)
  • Ball bearings
  • Polishing surfaces
  • Streamlined shapes (to reduce air resistance)

Force Produces Acceleration:
Whenever the velocity of an object changes, there must be an unbalanced force acting on it.
A change in velocity may mean
  • Increase in speed
  • Decrease in speed
  • Change in direction
All these are forms of acceleration.
 
Newton's First Law of Motion:
An object continues to remain at rest or continues to move with constant velocity in a straight line unless acted upon by an unbalanced external force.Examples
Examples:
  • Passengers fall backward when a bus starts suddenly.
  • Passengers fall forward when a moving bus stops suddenly.
  • Dust comes out when a carpet is beaten.
Inertia:
Inertia is the property of an object by which it resists any change in its state of rest or motion.
Greater mass \(\Rightarrow\) Greater inertia.
 
Types of Inertia:
 
Inertia of Rest Inertia of Motion Inertia of Direction
An object at rest tends to remain at rest.
Example
Passengers fall backward when a bus starts.
A moving object tends to continue moving.
Example
Passengers fall forward when a moving bus stops suddenly.
An object resists any change in its direction.
Example
Passengers are pushed sideways when a car takes a sharp turn.
 
 Newton's Second Law of Motion:
The acceleration produced in an object is directly proportional to the net force acting on it and inversely proportional to its mass.
\(F=ma\)
Where
  • \(F\ =\ Force\ (N)\)
  • \(m\ =\ Mass\ (kg)\)
  • \(a\ =\ Acceleration\ (m/s^{2})\)
SI Unit of Force:
From
\(F=ma\)
 
\(SI\ unit\ of\ mass =  kilogram (kg) \)
\(SI\ unit\ of\ acceleration = metre\ per\ second\ squared (m/s^{2}) \)
 
Therefore,
\(1N = 1kg\times 1m/s^{2}\)
One newton is the force required to produce an acceleration of \(1\ m/s^{2}\) in a body of mass \(1\ kg\).
Newton's Third Law of Motion:
For every action, there is an equal and opposite reaction.
Characteristics
  • Equal in magnitude
  • Opposite in direction
  • Act simultaneously
  • Act on different objects
Therefore, they never cancel each other.
Example:
Walking
Swimming
Rocket launch
Gun recoil
Rowing a boat
Applying Newton's Laws in Real-Life:
 
Situation Law / Concept applied Explanation
Wearing a seat belt Newton's first law Seat belt prevents passengers from moving forward due to inertia when the car stops suddenly.
Pushing an empty shopping trolley Newton's Second Law A lighter trolley accelerates more than a loaded trolley for the same force.
Rocket launch Newton's Third Law Exhaust gases are pushed downward, producing an equal and opposite thrust that moves the rocket upward.
Tug of war Balanced/Unbalanced Forces Equal pulls keep the rope stationary; unequal pulls make it move toward the larger force.
Braking a bicycle Friction Friction between the brake pads and wheel reduces speed and brings bicycle to rest.