Concept of Work and Energy (Part – 2)
Potential Energy :-
It is related to stored energy. The potential energy of a object
is due to its position.
For example :-
When a ball falls from a height its potential energy converts into Kinetic
energy but when ball is not thrown, the energy stored in it is called Potential
Energy.
Let m be a mass of an object, falling from a height ‘h’. Let the
work done ‘W’on object against gravity.
Work Done = Force * Displacement
W = F * s
Where F = m * g
So. W = m g h
Where m = mass
g = gravitational force
h = height
Work done by the object is equal to Potential energy.
E = m g h
Law of conservation of Energy
We know that Energy neither be created nor be destroyed. It
may changes from one form to another. So in case of conservation of energy, the
energy converts its form from potential energy to kinetic energy or kinetic
energy to potential energy .
According to conservation law of energy the total mechanical
energy is same in any situation. So we can say mechanical energy is constant
for all situations.
Mechanical Energy = Potential Energy + Kinetic Energy
Mechanical Energy = Constant
Potential Energy + Kinetic Energy = Constant
For example :- If we are throwing a ball from a height before
thrown the object have only potential energy when we throw that ball, the
potential energy start converting in Kinetic energy but the total mechanical
energy does not changes.
Mechanical Energy = Potential Energy + Kinetic Energy
M.E. = m g h + ½ m v^2
Potential Energy + Kinetic Energy = Constant
m g h + ½ m v^2 = Constant
In this situation the loss in potential energy = gain in kinetic
energy
Introduction of Power
We know that we can do work according to our capacity. The
machines can do maximum work according to its capacity so we generally see that
in same time periods the production of machines are different. In other
examples the different types of cars have different speed capacity so it can
run on different speeds.
Definition of Power
The capacity of doing work of any machine or human, is called
Power.
If a work done ‘w’ is completed in time ‘t’ then power is
Power = Work / Time
P = W / t
Units of Power
Unit of power is J / Sec or Watt
1 Watt = 1 J / Sec
1 Kilowatt = 1000 watt
1 KW = 1000 W
1 KW = 1000 J / Sec
If the rates are different in different interval of time, in this
case we use concept of average power.
Commercial Unit
Joule is very small unit of Power. We are not generally used this
unit in commercial purpose. So we use KW hour, it means power consumption for
an hour. It is generally said as ‘Unit’
1 kW h = 1 kW * 1 h
= 1000 W * 3600
Sec
= 3600000 J
1 kW/h = 3.6 * 10^6 J
In our day today life we used kW h
Electricity consumption in our house is expressed in units.
1 units = 1 kW h
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