1. Work ii.
É
→ Work is done when
object moves
=
parallel to The direction of friction = 20N
applied force.
Workdone
against friction
Definition : It is the
product of force W= Fxs
and
displacement parallel to
force.
W -
-
20×2
W =
40 J
W =
Fxs •
SI Unit : Joules ( J)
•
Scalar
Quantity
"
Work done
by
"
force in the direction
F- 50N
of movement
I,
>
"
workdone
against
"
force opposite to
work done by applied force the direction
of
W : Fxs movement .
= 50×2
W =
100J
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2. iii.
friction -
-
low
"
'
I
.
.
.
'
'
'
g-
S
"
-
.
-
"
iz ,m
. E£••• ,
,
-
<
5cm -
i
-
i -
-
i
12cm -
V
weight
-
-40N
'
'
r
, ,
i
'
>
Weight when
something is
moving in a circle
a) Workdone
by gravity about a
point leg.
satellite
orbiting
around Earth ) ,
the centripetal force
W =
Fxs is
acting towards center but the
= 40×0.05
displacement / motion ) of satellite is
W = 2J
perependicutar 190° ) to the
force.
b) Workdone
against friction As
force and displacement are not
parallel to one another
,
NO WORK IS
W =
Fxs BEING DONE
by centripetal force.
= 10×0.13
w =
1.3J
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3. Energy sources of Energy
The
ability of a
body to do 1 .
Non-
Renewable Resources
work.
→
Consumption rate
of these resources
are
extremely high compared to
•
SI Unit:
Joules 1J ) °
Scalar
quantity
the
regeneration rate .
Types Forms
of energy
Coal Oil Natural Nuclear
Gas
1. Mechanical Energy
a) Kinetic Energy 2 . Renewable Resources
b) Potential Energy → Resources
regenerate at an
2. Heat Energy incredibly fast rate so consumption
3. Chemical
Energy doesnot
effect Their reserves.
4 . Sound Energy
5.
light Energy o
Solar ° Wind . Wave
6. Nuclear Energy • Tidal °
Geothermal ☐
Biogas
7. Internal Energy
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4. Gravitational Potential Energy Example # I
m -
-200g g-
-
9.8141kg 2,0%0=0-2kg
The
energy stored in a
body due
^
to its
position in a
gravitational Ep
-
-
mgh
field .
4µm =
1002119.811401
Ep =
78.4J
•
It is due to the
pull
• - -
v
of gravity on the Wv
µ
object in the
field .
Example # 2
.
mass
-
-
0.5kg g-
-9.81N/kg
a-
- - - -
•
Weight pulls the
ground Calculate the loss in
object downwards ,
so when the
objection -
-
Grau. Potential Energy
f-
- - - - -
i.
is released ,
it moves .
Hence it has
| am
of the ball .
some
potential .
Ep =
mgh
>
h
"Ñt A- Ep =P-
Ef -
P-
Ei
IEp=mgDh
Potential
'
✓
=
might -
mghi DEp= 0.5×9.8×6
energy mass
'
grainfield strength =
mg tht - hit
= 0.5×9.8×(4-10)
B. Ep = 29.45
DEP = -29.4J
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5. kinetic
Energy "
÷
"
kinetic > motion m v E
•
2m ZV E- ✗ 2×22 =
BE
•
The
energy possessed by a
body .
mz
Zv E ✗ 22=2 E
due to in motion .
| |-2
I E
EK =
Izmit >
speed
•
MI 3 2×32
=
¥8
E ✗ 3
L
zz
=
3E
Kinetic v 2 4
energy mass
EKXM EKXVZ
mass KE speed K .E
Example # I
Ek=
tgmv
"
m E v E > v
.
8m15
2m 2E 2v 12T¥ 4E -
-12160011812
3m 3E 3v (3)
'
9E m
-
-600kg
my} Ets 42 125=>44 Ek= 19200J
Mla 1=12 V3 (3)
'
Elq
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6. Example # 2 mass
-
-
0.6kg Law
of conservation
of Energy
initial calculate the
gain
5m15 -
in K.E. Kenagy can neither be created
,
nor
L
final -
÷
be
destroyed .
9T is
only
converted
8m15
from one
form
to another .
<
vi.
final speed
•
Total
energy of an entire closed
AEK =
Kott - K -
Ei u : initial
speed system is conserved .
L
=
Izmit
-
Izmit
☐ Ek =
tgm /v2 -
W ) v2
.az ( v
. up
closed
system means
no
energy enters
or leaves the zone .
AEK -
-
1210.61/82-54 1 .
Burning of coal
☐ Ek = 11.7J Chemical
>
Heat
+ Light
energy energy energy
+
produced to
gather
> converted into
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7. 2.
Object falling from a
height 4. Ball
colliding
with the
ground and
( no air resistance) Ep
-
-100J
rebounding Ino loss
upon
collision )
Ek= 0
mV
Gravitational kinetic .
'
'
'
.
Potential >
energy
.
'
'
Ep-
-60J
i
Energy Ek-
-
40J
Kinetic
energy
>
Elastic
"
"
"
"
potential
>
kinetic
Ep -0
energy
VVEK -100J energy
1 ball bounces off with same speed )
3.
Object falling from a
height
1 with air resistance )
Ep
-
-100J rebounding (
energy
lost on collision )
'
'
'
Ep=goj§
" % " """
Y -
with the
gwun
, any
GPE > Kot + heat Ek -
- O
l
i
'
'
'
.
qv ( less
because
of peed )
air resistance Ek=3OJÉ
Kinetic
>
Elastic RE
"
"
"
Ep:O
'
if
•
energy + heat
vv Ex -
- 80J IÉ • Elastic P-
E > K - E + heat
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8. 6.
Energy conversion in cell & circuit
Example # I u=o
A ball is released
from rest
,
40m
-
inimiiaiéneigy's ,
on above the
ground .
Ignoring
→
[nside
"- - - - -
"
air resistance ,
calculate the
= in cell / battery =
I v
speed of ball as it hits the
-
Electrical
energy
?
4µmground.
"
l l l l l
✓
l l l l l l l
'
,
,
,
i
,
,
1
,
P. E → K . E
light energy + heat
energy
B v
Potential
energy =
Kinetic
energy
at A at B
7. Solar Panels
nxgh =
Izmit
light energy > Electrical energy 190811401 =
Iz
v2
8. Wind Turbine +
Generator V= ✓ 2×9.8×40
✓ =
28m15
Kinetic
energy >
KE
of >
Electrical
in wind blades
energy in
If energy loss would have occurred,
+ heat
generator v would be less than 28
Mfs.
+ neat
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9. ,
^
Power
•
Rate at which work is done .
m
4 m¥,
h
¥
•
Rate at which
energy
is converted .
running walking
P -
- Work P=
Energy ☐ same
gain
in P-
E in both cases
time time o
less time taken while running .
-
P=W_ P=
Ey
☐ more
power developed while
running,
t than while
walking .
•
SI Unit : Walt IWI °
Scalar
quantity Example # 2
lamp :P = 100W 1100J/s ) A motor
pumps 20kg of water to a
100J
of electrical
energy
is converted
height of 40m above
ground in 5min .
in 1s .
Assuming no
energy
loss,
calculate The
power rating of motor.
A more
powerful machine can do
the same work or can convert RE -
-
mgh Power-_
E- =
7840
same
energy
is less time .
=
20×9.8×40 t 5×60
P. E =
7840J Power =
26.13W
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10. Efficiency
Ratio
of useful output to the
required input.
•
efficiency =
useful output
required input
✗ 100
•
input =
output + waste
eft
-
-
ww÷ eff
-
-
E€,
eft-
k
Pi
eff
-
-
WOE
;
ebb =
.
eff
-
- E
Ei
ldifferent units )
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11. 1.
2.
3.
Work, energy and Power
Past Papers - MCQs
138
0
-
✓
2000N
→
weight W= Fxs
0 =
2000×0.8
= 1600J
eff
-
-1%0×100
input → ←
output
0
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16. 160
Kinetic
energy of hands convert to heat
energy
( due to
friction)
there is more
friction force when
pressed harder
-
hence more heat
produced .
=
W =
f- ✗ s 0096J
☒
1
= 1.2×0008 2 J -
N
W = 0.096
a = 2-
11 movement )
0.096
n =
20.8
21
=
P=Wµ°e
=0;?Y-
=
0.48W
0.48W
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17. 6
163
Chemical
energy of
the
cyclist is converted
Gravitational
Potential
Energy.
Kinetic
energy remains same as
speed is constant .
the potential energy gained
at the top of
the
hill is converted to kinetic
energy as it descends
and then to heat as it brakes to
stop.
P . E =
mgh
5400 = 60×10 ✗ h
h = 9m
9m
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18. 14
174
W -1540N
W= F ✗ s
=
Weight ✗ h
=
(54×10)×2.8
=
1512 J
1512J
p=Wo
time
=
15¥ = 504W
504W
some energy is converted to kinetic
energy of bricks .
Some energy
is lost as heat to
surrounding.
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19. 17
179
Solar
wind
E-
-
(6.8×109)×11×365 ✗ 24×60×60)
p=
¥ E-
-
2.14×10
"
J
E-
-
pxt
2. 14 ✗ 1017J
The
quantity of
water varies
Throughout The
air due to
rainfall or siltation.
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20. 180
-
P-
E =
mgh
=
106×1010×10×170
=
2.72×1013 J
2.72×10135
P=¥= 2.72×101-3 off
-
-
Pont =
6.8×10
"
1×60×60 Pin ¥109
✗ 10°
P =
7.56×109 W
= 89.9
9 90%
input power
some energy
is lost as heat
some energy
is converted to K .E
of
water .
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