Linear Momentum


 
 
Concept Explanation
 

Linear Momentum

Momentum measures the quantity of motion possessed by a body. It is defined as the product of the mass of a body and its velocity. For a linear motion it is called the linear momentum of the body. It is the vector quantity which means that the body's momentum is always in the same direction as its velocity vector. It is a conserved quantity which means that the total momentum of the system is constant. If “m” is the mass and “v” be the velocity of a body at some instant, the linear momentum is given by the expression -

                                                  p:=:mtimes:v

Here, p = momentum,  v  =  velocity   and   m   =  mass

As momentum and velocity are the vector quantities therefore, they are denoted asunderset{p}{rightarrow} and underset{v}{rightarrow} respectively.

The SI unit of momentum is kg m/s

Examples:

1. A bullet fired at a wooden board can destroy it. But a small stone of the same mass as the bullet when thrown at the board will hardly cause any damage.Although their masses are the same, the high velocity of the bullet gives it a larger momentum, which causes the damage.

2.Consider, a truck and a rickshaw moving with the same velocities, heading towards each other and eventually ending up in a head on collision. The rickshaw could might get deformed to such an extend that it would be  difficult for us to make it, while truck might get some minor damages.This is because of the larger momentum of the truck.

IllustrationA ball with a 500g mass is thrown with a velocity of 72 km/h. What is the initial momentum?

Solution:  Given

 mass of the ball = 500g = 0.5 Kg and

velocity of the ball = 72 km/h  = 20 m/s

 Momentum of the ball 

 p:=:mv:=:frac{1}{2}:times20:=:10:kg:m/s     

Illustration: The linear momentum of a body is 40 kg m/s and the mass of the object is 5 kg. Determine the velocity of the object.

Solution: Given parameters are, 

m  =  5 kg    and 

p  =  40 kg m/s

Linear momentum formula is given by 

p:=:mv

v;=:frac{p}{m}Rightarrow frac{40}{5}Rightarrow 8:m/s

Sample Questions
(More Questions for each concept available in Login)
Question : 1

A Body of mass 10Kg collides against a wall with velocity 5m/s and rebounds with the same speed. the change in momentum is

Right Option : C
View Explanation
Explanation
Question : 2

A body, whose momentum is constant, must have constant-

Right Option : B
View Explanation
Explanation
Question : 3

Which of the following are correct ?

(a) Momentum measures the quantity of motion possessed by a body. 

(b) It is defined as the product of the mass of a body and its velocity for a linear motion it is called the linear momentum of the body.

(c) The SI unit of momentum is kg m/s .

Right Option : D
View Explanation
Explanation
Chapters
Simple Harmonic Motion
Cytology
Classifucation Of Plants
Structural Composition Of Plants
Nutrition In Plants, Harmones And Plant Disease
Ecosystem
Classification In Animals
Nutrition In Animals
Human Digestive System
Human Respiratory System
Human Skeleton System
Human Excretory System
Human Nervous System
Human Circulatory System
Human Endocrine System
Human Reproductive System
Genetics
Human Diseases
States Of Matter
Metals And Non Metals
Acid Bases And Salts
Periodic Classification
Fuel, Combustion And Flame
Environmental Chemistry
Rest And Motion
Work Power And Energy
Gravitation
Pressure And Its Effects
Sound and Waves
Heat And Temperature
Light - Reflection
Electricity And Magnetism
Modern Physics
Force And The Laws Of Motion
Light - Refraction
Dispersion And Human Eye
Magnetic Effect Of Electric Current
Atom And Molecule
Pre-Historic Period
Indus Valley Civilization
Vedic Civilization
Religious Reform Movement
The Early Kingdoms
The Mauryan Empire
Post Mauryan Period
The Age Of The Guptas
Post Gupta Era
Age of Rajput
Khilji Dynasty
Slave Dynasty
Tughlaq and Sayyid Dynasty
Vijaynagar Empire And Bahamani Kingdom
Mughal Empire And Beyond
Lodhi Dynasty
Cholas, Chalukyas and Pallavas
Arab Invasions
Bhakti and Sufi Movement
Rise of Sikhs, Jats and Marathas
Administrative Structure of Delhi Sultanate
Architecture During Medivial India
Advent Of The Europeans
Post Mughal Period
Rise of New States in 18th Century
Growth of British Paramountacy
Socio Religious Reforms
Constitutional Development of India
Indian Struggle Against British Rule
The Revolt Of 1857
Education Under British Rule
Role of Press in Freedom Struggle
First Phase of National Movement
Second Phase of National Movement
Third Phase of National Movement
Constitutional Development in India
Constituent Assembly
Union And Its Territory
Structure of Indian Constitution
Fundamental Rights and Duties
The Union Executive
The Union Legislature
Constitutional Amendments and Provisions
Judiciary In India
Emergency Provisions
Center - State Relations
The State Executive
The State Legislature
Election Commission Of India
Constitutional Organisation
Non-Constitutional Organisation
Local Self Goverment
India - Size And Location
Geological History Of India
The Physical Features Of India
Climate Of India
Soils In India
Natural Vegetation
Windlife Conservation In India
Drainage System of India
Irrigation System Of India
Agriculture In India
Livestock And Fisheries In India
Minerals And Energy Resources In India
Means Of Transport In India
Major Industries In India
Tribes of India
Census of India 2011
Music
Dance
Theatre
Pantings
Art, Architecture & Culture of India
Bio-Diversity
Earth And Its Structure
Land Rock And Soil
Atmosphere, Climate And Weather
Oceanography
Human And Regional Geography
Economic Growth And Development
Sectors Of Indian Economy
Economic Planning Of India
Fiscal And Monetary Policy In India
Infrastructure In India
Effects Of British Rule On Indian Economy
National Income
Banking System In India
Poverty And Unemployment
Inflation And Trade Cycles
Major Institutions
Environmental Studies
Chemistry In Everyday Life
Units And Dimensions
Tissues In Organism
Content / Category
Class / Course
 
 
Related Videos
Language - English
Language - English


Students / Parents Reviews [10]