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Summary momentum, impulse, work, energy and power

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detailed summary explaining momentum, impulse, work, energy and power with detailed examples, definitions and quick tricks

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February 17, 2023
Number of pages
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Written in
2022/2023
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, MOMENTUM AND IMPOSE o p am / P & V :
the larger the mass / velocity

of an object ,
the larger its momentum


MOMENTUM ( p)
-


the product of the mass and the velocity of an object 0 it momentum is constant ,
mass and velocity

ckg.m.si
'
) ( vector direction velocity ) (m ¥) :
The
momentum
inversely proportional

p - -
sane as are



P MV
larger
=
the smaller its
m -
mass Ckg ) the mass
velocity needs to


'

)
velocity Cm
'


V -
, s be to keep momentum constant




NEWTONS SECOND IHW IN TERMS OF MOMENTUM -

there are aon-ngonanobie.is

equal to the rate of change of momentum .




Fret -
ret force CN) - :
Fret Ot .
=
Ap
Fret ¥ ckg.rs )
"
:
vi )
op change in momentum op Cvf
= -
=
m
- -




Ot
-




change in time G) : _
fnet ✗ Ét


LAW OF CONSERVATION OF MOMENTUM -



auroral linear momentum or an isolated system remains

constant (is conserved) .




Momentum before the collision = Momentum after the collision

M , Vil +
Mz Vi 2
=
m , Vf , + n 2 Vfz




°
Isolated system -


system which has no net external factors acting on it


Internal forces forces that two objects in the exert each other
same
system on
-




°
External forces -
forces outside the system that exert forces onto the objects within the system Ceg .
friction , air resistance)




HASHI COLLISION -


a collision in which both momentum and kinetic energy are conserved



IN [ 1/15/71 ( 01115/ ON -

a collision in which only momentum is conserved .




① Two objects collide and stick together ( moving in the same direction ]
Before After

1000kg I 500kg 1000kg 1500kg To check it collision is elastic
> >
>
ion s .
-
l ✓= ?
Ek before =
Yzm v2 = Yzmv 2
= Ek alter


M , V1 +
M2 V2 = ( mi -1M 2) u
velocity is the same after +2C 1000) (3012 = Yz (2500 )( 1872


4,5×105 J
'
(10001130) + (1500×10) = ( 2500 ) V =
4,05×10 J

'

✓ = 18M .
5- → same direction as initial
"
collision is NOT ellastic
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