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Chapter 1: Physical Quantities and Measurement

Introduction to Physics

Physics is the branch of science that deals with the study of matter, energy, and their interactions. It attempts to explain natural phenomena using mathematical relationships and experimental verification.

Base Quantities

Physical quantities that cannot be derived from other quantities are called base quantities. The seven base quantities in SI system are:

Derived Quantities

Quantities that are derived from base quantities are called derived quantities. Examples:

Significant Figures: The digits that are reliably known plus one uncertain digit are called significant figures.

Rules for counting significant figures:
• All non-zero digits are significant
• Zeros between non-zero digits are significant
• Leading zeros are not significant
• Trailing zeros in decimal part are significant

Chapter 2: Kinematics

Rest and Motion

An object is said to be at rest if it does not change its position with respect to its surroundings with time. An object is said to be in motion if it changes its position with respect to its surroundings with time.

Types of Motion

Speed and Velocity

Speed = Distance / Time
Velocity = Displacement / Time

Speed is a scalar quantity (only magnitude).
Velocity is a vector quantity (magnitude + direction).

Acceleration

Acceleration = Change in Velocity / Time
a = (v - u) / t
Where: u = initial velocity, v = final velocity, t = time

Equations of Motion

v = u + at
s = ut + ½at²
v² = u² + 2as
For freely falling bodies (downward): g = +9.8 m/s²
For freely falling bodies (upward): g = -9.8 m/s²

Chapter 3: Dynamics

Newton's Laws of Motion

First Law (Law of Inertia)

"A body at rest remains at rest and a body in motion continues in motion with constant velocity unless an external force acts on it."

Second Law

F = ma
Force = Mass × Acceleration

Newton (N) is the SI unit of force. 1 N = 1 kg m/s²

Third Law

"For every action, there is an equal and opposite reaction."

Friction

The force that opposes the motion between two surfaces in contact is called friction.

f = μN
Where: μ = coefficient of friction, N = normal force

Types of Friction

Chapter 4: Turning Effect of Forces

Moment of Force (Torque)

The turning effect of a force is called moment of force or torque.

Torque = Force × Perpendicular Distance
τ = F × d
Unit: Newton-meter (Nm)

Principle of Moments

"For a body in equilibrium, the sum of clockwise moments equals the sum of anticlockwise moments."

Center of Mass

The point at which the entire mass of the body appears to be concentrated is called center of mass.

Equilibrium

A body is in equilibrium if:

Chapter 5: Gravitation

Newton's Law of Gravitation

"Every particle in the universe attracts every other particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them."

F = G(m₁m₂)/r²
Where: G = 6.67 × 10⁻¹¹ Nm²/kg² (Gravitational Constant)

Weight

Weight = Mass × Gravitational Acceleration
W = mg

Orbital Velocity

v = √(GM/r)
For satellite orbiting Earth: v ≈ 7.9 km/s

Escape Velocity

v = √(2GM/r)
For Earth: v ≈ 11.2 km/s

Chapter 6: Work and Energy

Work

Work = Force × Displacement
W = F × d × cosθ
Unit: Joule (J) = 1 Nm

Energy

The capacity to do work is called energy.

Kinetic Energy

KE = ½mv²

Potential Energy

PE = mgh

Conservation of Energy

"Energy cannot be created or destroyed, but can be converted from one form to another."

Power

Power = Work / Time
P = W/t
Unit: Watt (W) = 1 J/s

Chapter 7: Properties of Matter

Density

Density = Mass / Volume
ρ = m/V
Unit: kg/m³

Pressure

Pressure = Force / Area
P = F/A
Unit: Pascal (Pa) = N/m²

Pressure in Fluids

P = ρgh
Where: ρ = density, g = gravity, h = depth

Archimedes' Principle

"A body immersed in a fluid experiences an upward force equal to the weight of the fluid displaced by it."

Elasticity

Stress = Force / Area
Strain = Change in Length / Original Length
Hooke's Law: Stress ∝ Strain

Chapter 8: Thermal Properties of Matter

Heat and Temperature

Heat is the form of energy transferred due to temperature difference.
Temperature is the degree of hotness or coldness of a body.

Specific Heat Capacity

Q = mcΔT
Where: Q = heat, m = mass, c = specific heat, ΔT = temperature change

Latent Heat

Heat required to change state without temperature change:

Q = mL
Where: L = latent heat

Thermal Expansion

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