WORK WORK DONE IS WORK DONE IN PULLING RELATION OF KINETIC
Work is said to be done CONSERVATIVE & NON THE CHAIN ENERGY WITH STABL
when a force applied on the CONSERVATIVE FORCE
body displaces the body Linear momentum:- P= 2m E If particle dis
through a certain distance in Conservative: work done doesnot equillibrium po
Variation of graph of kinetic Energy
the direction of force depend on path followed acting will try
L/n E E
Non-conservative: work depends back to the in
on the path followed
WORK DONE BY
CONSTANT FORCE Potential ener
1
minimum
Fsin 2
Fcos L Total length V p2 P
m constant, E
F= -dU =0
A B m constant, E v2
3 (1/n) th
Part of length hanging E E dx
M Mass of chain d 2U
=positiv
S WA (Path 1)= WA (Path 2)= Work done in pulling, the hanging dx2
B B
W=Fcos x S WA B
(Path 3) portion on the table W= MgL P
=FScos =F.S 2n2 m
(for conservative force) P constant,& E
1
P constant,& E P
m
WA (Path 1)= WA (Path 2)=
NATURE OF WORK DONE B B
WA (Path 3)
1) Positive work (0o< <90o)
B POTENTIAL ENERGY
(for non conservative force)
- Defined only for conservative force
F Direction
Note : - Energy possessd by a body due to
CONSERVATI
WORK
of motion
S Work done for a complete cycle virtue of its position
for a conservative force is zero - Can either be positive, negative or For an isolate
presence of c
ENERGY&
2) Negative work (90o< <180o zero according to pont of reference
- Body always move from higher sum of kinetic
F Direction
potential
of motion
any point rem
POWER
S WORK DONE BY DIFFERENT
FORCES Identifying forces with potential the motion
B B B energy
2) Zero work K.E+P.E=cons
Work done becomes of 3 h4 1) Attractive force:-
conditions h3 On increasing x, if U increases
l h
1.Force is prependicular to h2 ENERGY dU
=positive
displacement
h1 Capacity of doing work dx POWER
2.if there is no displacement (BC portion of graph)
3.if there is no force acting A A A A
Scalar quantity Rate at whi
2) Repulsive force:-
on the body Dimension ML2T-2
W1=mgh = mgh On increasing x, if U decreases Average pow
h Relation between different units
W2=mgxl sin =mgxl sin x dU
l 1eV=1.6 10-19Joules =negative Instanteneo
WORK DONE BY VARIABLE dx
+
=mgh 1kWh=3.6 106Joules (AB portion of graph)
FORCE F.ds
+
Ws=mgh1+O+mgh2+O+mgh3+O+mgh4 1calorie= 4.18Joules 3) Zero force:- = = F.
dw=F.ds work done by static friction O On increasing x, if U doesnot change dt
1 Joule=107erg
W= F.ds = Fds cos work done by kinetic friction -ve Relation betw
Kinetic Energy
U(x) C
in terms of rectagular Energy possessed by virtue of 1 watt=1jou
Wfk=fk.S=fK S cos 180 , =fkS
components
Work is said to be done CONSERVATIVE & NON THE CHAIN ENERGY WITH STABL
when a force applied on the CONSERVATIVE FORCE
body displaces the body Linear momentum:- P= 2m E If particle dis
through a certain distance in Conservative: work done doesnot equillibrium po
Variation of graph of kinetic Energy
the direction of force depend on path followed acting will try
L/n E E
Non-conservative: work depends back to the in
on the path followed
WORK DONE BY
CONSTANT FORCE Potential ener
1
minimum
Fsin 2
Fcos L Total length V p2 P
m constant, E
F= -dU =0
A B m constant, E v2
3 (1/n) th
Part of length hanging E E dx
M Mass of chain d 2U
=positiv
S WA (Path 1)= WA (Path 2)= Work done in pulling, the hanging dx2
B B
W=Fcos x S WA B
(Path 3) portion on the table W= MgL P
=FScos =F.S 2n2 m
(for conservative force) P constant,& E
1
P constant,& E P
m
WA (Path 1)= WA (Path 2)=
NATURE OF WORK DONE B B
WA (Path 3)
1) Positive work (0o< <90o)
B POTENTIAL ENERGY
(for non conservative force)
- Defined only for conservative force
F Direction
Note : - Energy possessd by a body due to
CONSERVATI
WORK
of motion
S Work done for a complete cycle virtue of its position
for a conservative force is zero - Can either be positive, negative or For an isolate
presence of c
ENERGY&
2) Negative work (90o< <180o zero according to pont of reference
- Body always move from higher sum of kinetic
F Direction
potential
of motion
any point rem
POWER
S WORK DONE BY DIFFERENT
FORCES Identifying forces with potential the motion
B B B energy
2) Zero work K.E+P.E=cons
Work done becomes of 3 h4 1) Attractive force:-
conditions h3 On increasing x, if U increases
l h
1.Force is prependicular to h2 ENERGY dU
=positive
displacement
h1 Capacity of doing work dx POWER
2.if there is no displacement (BC portion of graph)
3.if there is no force acting A A A A
Scalar quantity Rate at whi
2) Repulsive force:-
on the body Dimension ML2T-2
W1=mgh = mgh On increasing x, if U decreases Average pow
h Relation between different units
W2=mgxl sin =mgxl sin x dU
l 1eV=1.6 10-19Joules =negative Instanteneo
WORK DONE BY VARIABLE dx
+
=mgh 1kWh=3.6 106Joules (AB portion of graph)
FORCE F.ds
+
Ws=mgh1+O+mgh2+O+mgh3+O+mgh4 1calorie= 4.18Joules 3) Zero force:- = = F.
dw=F.ds work done by static friction O On increasing x, if U doesnot change dt
1 Joule=107erg
W= F.ds = Fds cos work done by kinetic friction -ve Relation betw
Kinetic Energy
U(x) C
in terms of rectagular Energy possessed by virtue of 1 watt=1jou
Wfk=fk.S=fK S cos 180 , =fkS
components
