Laws of Motion - Important Formulas, Definitions, and Examples | 11th Physics
Chapter 4: Laws of Motion
Formulas: Newton's Laws, Force, Inertia, Momentum, Acceleration, Action and Reaction, Definitions, Mass, Velocity, Gravity
Introduction
The laws of motion are the foundation of classical mechanics. In this chapter, we explore Newton's three laws of motion, which describe how objects behave when forces act upon them. We will also understand the concepts of force, inertia, momentum, and friction, and how they contribute to motion in various scenarios.
1. Newton's First Law of Motion (Law of Inertia)
Definition:
An object at rest will remain at rest, and an object in motion will continue moving in a straight line with constant speed unless acted upon by an external force.
Key Concepts:
Inertia:
The property of an object to resist changes in its state of motion.Force:
A push or pull that can cause an object to move, stop, or change direction.
2. Newton's Second Law of Motion (Law of Force and Acceleration)
Definition:
The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
Formula: F = ma
whereF
is the force applied,m
is the mass of the object, anda
is its acceleration.
Applications:
- Understanding how objects accelerate under different forces.
- Explaining the relationship between mass, force, and acceleration.
3. Newton's Third Law of Motion (Action and Reaction)
Definition:
For every action, there is an equal and opposite reaction. This means that forces always occur in pairs, and the force exerted by one object on another is matched by an equal and opposite force exerted by the second object on the first.
Example:
When you push on a wall, the wall pushes back on you with equal force.Formula: Faction = -Freaction
4. Momentum and Impulse
Definition:
Momentum
is the product of an object's mass and its velocity. Impulse
is the change in momentum of an object when a force is applied over time.
Formula for Momentum: p = mv
wherem
is the mass andv
is the velocity.Formula for Impulse: J = F × t
whereF
is the force andt
is the time duration.
5. Friction
Definition:
Friction is the force that opposes the motion of an object when it comes into contact with a surface. It can be categorized into two types: static friction (prevents motion) and kinetic friction (opposes motion in progress).
Formula for Friction: Ffriction = μ × N
whereμ
is the coefficient of friction andN
is the normal force.- Friction plays a key role in real-world motion scenarios like walking, driving, and machinery operation.
6. Gravitational Force
Definition:
Gravitational force is the force of attraction between two objects with mass. On Earth, it gives objects weight and pulls them towards the surface.
Formula for Gravitational Force: F = G (m₁ × m₂) / r²
whereG
is the gravitational constant,m₁
andm₂
are the masses, andr
is the distance between them.
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