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Momentum
Anything which is moving has MOMENTUM.
The amount of momentum it has depends on:-
1. MASS (kg)2. VELOCITY (m/s)
Which of the
following have
momentum?
momentum = mass x velocity (kgm/s) (kg) (m/s)
The formula for momentum is:-
Find the momentum of the following
1. 0.06 kg
30 m/s
momentum = mass x velocity
= 0.06 x 30
= 1.86 kgm/s
2. 40 000 kg
20 m/s
momentum = mass x velocity
= 40 000 x 20
= 800 000 kgm/s
3. 70 kg
1.5 m/s
momentum = mass x velocity
= 70 x 1.5
= 105 kgm/s
4.1000 kg
at rest
momentum = mass x velocity
= 1000 x 0
= 0 kgm/s
Objects travelling in same direction
3 kg 5 kg
10 m/s 5 m/s
(3 x 10) + (5 x 5)
30 + 25
= 55 kgm/s
Objects travelling in opposite direction
4 kg 6 kg
7m/s 2 m/s
(4 x 7) - (6 x 2)
28 - 12
= 16 kgm/s
Objects travelling in opposite direction
8 kg 3kg
2m/s 5 m/s
(8 x 2) - (3 x 5)
16 - 15
= 1 kgm/s
One object travelling towards an object at rest
10 kg20kg
5m/s 0 m/s
(10 x 5) + (20 x 0)
50 + 0
= 50 kgm/s
+
CONSERVATION OF MOMENTUM
total momentum before collision
or explosion =total momentum after collision or
explosion
TOTAL MOMENTUM BEFORE COLLISION = TOTAL MOMENTUM AFTER COLLISION
TOTAL MOMENTUM BEFORE COLLISION = TOTAL MOMENTUM AFTER COLLISION
What is the velocity of the diesel and flatcar after the collision?
total momentum before = total momentum afterwards
(18000 x 5) + 0 = 28000 x V
90000 = 28000 x V
90000 = V = 3.21 m/s
28000
Mass of diesel = 18000kg
Velocity of diesel = 5m/s
Mass of flatcar = 10000kg
Velocity of flatcar before collision = 0m/s
What is the combined velocity of the diesel and flatcar after the collision?
What is the combined velocity of car and van after the collision?
Momentum Before = Momentum afterwards
(1000 x 20) + 0 = 5000 x V
20000 = 5000 x V
20000 = V = 4 m/s
5000
What is the combined velocity of car and van after the collision?
Mass of car = 1000 kg
Velocity of car = 20 m/s
Velocity of van before collision = 0 m/s
Mass of van = 4000kg
What is the combined velocity of car and van after impact?
Momentum before = Momentum afterwards
(3000 x 20) – (1000 x 20) = 4000 x V
60000 – 20000 = 4000 x V
40000 = 4000 x V
40000 = V = 10 m/s
4000
Mass of car = 1000kg
Velocity = 20 m/sMass of van = 3000kg
Velocity = 20 m/s
What is the combined velocity of car and van after impact?
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