Ch6 Work, Enegry and Power notes

 Ch6 Work, Enegry and Power notes

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 Work :- 

• When a body moves through a certain distance in any direction under the influence of an applied force except the direction perpendicular to the direction of a platform force .
• It is scalar quantity and scalar or dot product .

Work done 


Work done in component form :-

Workdone in component form 


Work done for constant and variable forces :-

Workdone by constant and variable forces

# Work Enegry theorem for constant force :-

Work Enegry theorem


# Work Enegry theorem for variable force :-

Work Enegry theorem 



Power :- 

Time rate at which work is done or rate of doing work is known as power .

Power


Enegry :-

Capacity or ability to do work by a body .

Unit:- Joule

=> Kinetic energy :- 

• It is the enegry which possessed with motion .
• Non - Conservative force

Kinetic Enegry


# Relation between Kinetic energy and Linear momentum :-

Relation b/w Kinetic energy and momentum 

=> Potential Energy :- 

• It is the enegry which is possessed with position .
• Conservative Force 

=> Two important types of potential energy :- 

1. Gravitational Potential Energy :-

It is the energy possessed by the body of its position above the surface of the earth .

Potential Energy 


2. Elastic Potential Energy :- 

Elastic Potential Energy 

Note:- 

• Spring of greater force constant 'k' said to be 'stiffer' .
• spring of smaller force constant 'k' said to be 'soft' .

# Spring potential Energy, Work Enegry theorem :-

Spring potential Energy 


Workdone by spring force

Concept of conservative and non conservative :- 

=> Conservative Force :- 

A force is conservative when workdone bh the net force on a moving particle between the particles initial and final position.

Examples :- • Gravitational force
                      • Spring Force
                      • Potential Energy 


=> Non Conservative :-

 A force is non conservative when the work done by this is dependent on the path being follow the particle are called non conservative force .

Examples :-  • Force of friction
                       • Kinetic energy 


Mechanical energy :-

The mechanical energy of a body is the sum of kinetic energy and potential energy .

Mechanical energy

# Illustration of law of conservation of mechanical energy :- 

Conservation of Mechanical energy 




Collisions :-


1. Elastic collision :-

• A collision in which there is no loss of kinetic energy is called elastic collision .
• kinetic energy is conserved
• Linear momentum
• Total energy is conserved
• The force must be conservative force .
• Practically, there won't be no perfect elastic collision.

2. Inelastic collision :-

•A collision in which there is same loss of kinetic energy is called in elastic collision .
• Linear momentum is conserved .
• Kinetic energy is not conserved .
• Total energy is not conserved .
• Force must not be conservative .
• Practically there won't be no perfect inelastic .



Elastic Collision in 1-D ( dimension)

Elastic Collision in 1D



Inelastic  Collison in 1-D(dimension)


Inelastic Collison in 1D
Kinetic energy is not conserved in inelastic Collison 

Elastic Collision in 2-D(dimension)


Elastic Collision in 2D



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