Download WORK: Work is done when the force produces motion. Def: WORK is

WORK: Work is done when the force produces motion.
Def: WORK is said to be done only when a constant force Acting on the body produces a
displacement in the body in the same direction as the force applied.
Work is a scalar quantity,
Work done = Force x Displacement.
UNITS OF WORK:
W=Fxs
S I Unit is JOULE (J) =1 Nm and CGS UNIT: erg,
1 erg = 1 dyne. 1cm
The name joule is given in honour of the British scientist James Prescott joule
WORK done is said to be 1 joule only when a force of 1 Newton displaces a body by 1metre in
the direction of force applied.
WORK done is said to be 1 erg only when a force of 1 dyne displaces a body by 1centimetre in
the direction of force applied.
1 joule = 107 ergs
Some other larger units of work:
(1) 1 killojoule = 1000 joule =103 joule
(2) 1 megajoule = 1000 killojoule = 106 joule
(3) 1gigajoule = 1000 magajoule = 109 joule
Work done when the force is applied at an angle with the horizontal line of displacement.
Applied force
𝛉
θ
W=horizontal component of force x displacement
W= f cosθ x s = f.s.cosθ
Where θ is the angle between the direction of motion and direction of the applied force
There are 4 cases
1)when the displacement of a body is in the direction of the force applied:
W=fscosθ = f.s cos 0°
W = f.s
as cos 0° =1
Here work done is positive
For eg: work done by collie when he is lifting a heavy box on his head, winning team of tug off
war, kick the football,
2) when the displacement of a body is perpendicular to the direction of the force applied:
W=fscosθ = f.s cos 90°
W=0
as cos 90° =0
Here work done is zero
For eg: when a stone attached to a rope is rotated in the horizontal circular direction, a man
walking on a road with some weight on his head, suitcase in his hand, work done by earth on the
moving satellites in circular path around the earth,
3) when the displacement of a body is in the direction opposite to the force applied:
W=fscosθ = f.s cos180°
W = −f.s
as cos 180° =−1
Here work done is negative
Horizontal component of force
For eg:in tug off war work done by losing team,when the object lifted upward then the work
done by gravity,work done by the frictional force,
4) when the displacement of a body is zero even when the force applied:
W=fscosθ = f.0. cos θ°
W = 0 as S =0
Here work done is zero
For eg. Try to Push the wall,
Work done is a scalar quantity even though we can measure it as positive ‘negative or zero
II)) Work done against gravity:(thrown or lifted upward)
When the work is done against the gravity ,The amount of work done is always equal to the
product of weight of a body and vertical distance through which the body is lifted.
Work done in lifting body=weight of a body x vertical distance(height)
W= m.g.h as weight of a body = m.g
For eg. The stone thrown upward, climbing of steps(staircase),lifting an object
ENERGY : Anything which is able to do work is said to possess energy.
Def; The energy is the ability to do work./capacity to do work.
The amount of energy possessed by the body is equal to the amount of work it can do when its
energy is released.
The process of doing work: A body that possesses energy can exert a force on an object. In this
process some of the energy of the body is transferred to the object, By gaining this energy the
object moves.
Energy is a scalar quantity.
Unit of energy;
S I Unit is JOULE (J)
CGS UNIT: erg
The other units of energy are watt hour and kilowatt hour
1 watt hour = 3600 J
1 kilowatt hour = 3.6 × 106 J
The electrical energy is measured in Unit(electrical bill 250 units) and 1unit=1kilowatt hour.
Heat energy is measured in calories
1 calrolie = 4.18 J
1kilocalorie = 4.18 ×103 J
A very small unit of energy is electron volt
1eV = 1.6 ×10−19 J
FORMS OF ENERGY:
1)Heat energy;(Thermal energy):the energy possessed by the body due to its temperature. when
we burn coal, wood or gas, heat energy is released ,steam also possess heat energy, sun also
radiates heat energy.
Light energy: it gives us the sensation of vision, an electrical bulb emits light, natural source is
sun.
Sound energy; The energy of the vibrating body producing sound. Eg .flute, sitar, whistle, tuning
fork
Chemical energy: the energy released in chemical reactions .the energy possessed by fuels
(petrol, diesel, gas), food
Electrical energy:the energy of moving electrons in a conductor(charged body ,electrical cell)
Nuclear energy: The energy released when two nuclei of light elements combine to each other to
form a heavy nucleus (called as nuclear fusion)or when the heavy nucleus breaks into two light
nuclei .( called as nuclear fission)
Solar energy: The energy radiated from the sun .
Magnetic energy:When the current is passed through the coil it stores magnetic energy.
Mechanical energy: The energy possessed by the body due to its rest, state of motion or
configuration.It is the sum of kinetic energy and potential energy.
Kinetic energy: The energy possessed by the body by virtue of its motion is called kinetic energy.
For eg. A moving car, flowing water, wind, moving ball
Consider the body of mass m is at rest.let the force f be applied on it so that it attains the velocity
v and travels a distance s
Work done w= F.s
W = ma.s
as f=ma
But using equation of motion we can write ,
2as = 𝑣 2 − 𝑢2
2
𝑣 – 0 =2as
𝑣2
∴ W= m. a.
1
𝑣2
2𝑎
2
S = 2𝑎
W=2 𝑚𝑣
This work done is equal to the kinetic energy.
1
K.E. = 2 𝑚 𝑣 2
The amount of KE of a moving body depends on:
1)Mass of body (kg) 2) Velocity (m/s )
Work done by a body when the body is changing its velocity form u to v,then
1
1
W = 2 𝑚 𝑣 2− 2 𝑚 𝑢2
Total work done is the change in kinetic energy of the body.
When either mass or velocity of moving body is increased, KE will also increase.
The KE of gas increases with increase in temperature as speed of gas molecules increases with
the increase in its temperature. And vice versa.
Potential Energy: The energy possessed by the body by virtue of its position/configuration is
called potential energy.
For eg:1) water stored in a dam, a stone lying at the top of hill, mountain has PE due to its
position. A stretched or compressed spring, a wound spring of a watch, a stretched bow and
arrow has PE due to its shape
Gravitational PE: When the body is lifted from the ground to certain height then the work is done
against the force of gravity,then the amount of work done is stored in the form of gravitational
PE .
Gravitational PE depends on the difference in vertical heights from initial and final position of a
body but independent of the path followed by the body from initial and final position.
Let the object of mass m is raised at height h Against the force of gravity g ,then the force acting on
the body is F=mg
A
A
∴Work done = force × Displacement
W = f.h
A1
A2
W= mgh
that is . EP = PE= mgh
B
B
Transformation of energy:
In the hydroelectric plants the PE of the stored water in the dam
(reservoir) gets converted into the KE of the falling water at the bottom of the dam KE is
transformed to the KE of the blades of the turbine this KE gets converted to the electrical energy.
Transformation of energy in nature: The sun is the ultimate source of all types of energy.
Plants absorb solar energy and undergo the process of photosynthesis chemical energy of the food
gets converted into the muscular energy stored in man and animals which can be used for work
done by them.
Examples of energy changes
Mechanical energy
Heat energy
Light energy
Human activities /gadget
Generation of electricity by
dynamo
Production of sound by vibrations
Rubbing two pieces of stone to
generate fire
Steam engine
Solar cell
Preparation of chemical
compounds by heat
Photoelectric cell
Decomposition of silver salts in
the photographic plate
Photosynthesis
Transformation of energy
Mechanical energy to electrical
energy
Mechanical energy to sound energy
Mechanical energy to heat energy
Heat energy to Mechanical energy
heat energy to electrical energy
heat energy to chemical energy
Light energy to electrical energy
Light energy to chemical energy
Light energy to chemical energy of
food