A Power point presentation on topic- collision from chapter work, energy and power.

1. COLLISION

2. Collison
Head on
Collision
Elastic
Collision
Inelastic
Collision
Oblique
Collision
Perfectly
Inelastic
Collision
Partially
Inelastic
Collision

3. HEAD ON
COLLISIONS

4. HEAD ON
COLLISION
• It is the collision in the
straight line.
• Elastic Collision
• Its is the collision in which
bodies regain their original
shape after collision.

5. • Inelastic Collision
• I. Perfectly Inelastic
Collision : It's is the
collision in which
bodies moves
• together as a single body
after collision.
• II. Partially Inelastic
Collision : It's is the
collision in which
bodies moves
• independently, but there
shape gets deformed.

6. COEFFICIENT OF RESTITUTION
• When two objects collide head-on, their velocity of separation
after impact is in constant ratio to their velocity of approach
before impact.
• E = velocity of separation
velocity of approach
0≤e≤1 velocity of separation = e (velocity of approach)
• The constant e is called as the coefficient of restitution.

7. ELASTIC
COLLISION
IN
1DIMENSION

8. Calculation of velocities after collision

9. INELASTIC COLLISION IN ONE
DIMENSION

11. COLLISION IN TWO
DIMENSION/OBLIQUE
COLLISION

13. COLLISION IN
TWO DIMENSION
DERIVATION

14. SPECIAL
CASE
• when two particles of same
mass undergo perfectly elastic
collision in two dimension I.e
m1=m2
• θ+ ϕ = 90°
• hence we conclude that in a
perfectly elastic collision in
two dimension between two
particles of same mass the two
particles move along mutually
perpendicular directions after
the collision

15. • IN THIS CASE, THE FIRST
OBJECT, MASS , INITIALLY
MOVES ALONG THE -AXIS
WITH SPEED . ON THE OTHER
HAND, THE SECOND OBJECT,
MASS , INITIALLY MOVES AT
AN ANGLE TO THE -AXIS WITH
SPEED . AFTER THE COLLISION,
THE TWO OBJECTS
STICK TOGETHER AND MOVE OFF
AT AN ANGLE TO THE -AXIS
WITH SPEED .
MOMENTUM CONSERVATION
ALONG THE -AXIS YIELDS
• M1.VI1 + M2.VI2 COS ѲI=
(M1+M2)VF COS Ѳ F
• LIKEWISE, MOMENTUM
CONSERVATION ALONG THE -
AXIS GIVES
• M2.VI2 SIN ѲI= (M1+M2)VF
SIN Ѳ F
• KNOWING M1,M2, U1, U2
AND Ѳ WE CAN CALCULATE
FINAL VELOCITY V AND ITS
DIRECTION

16. QUESTION:
Q 1 - B A L L M O V I N G W I T H A S P E E D O F 9 M P E R
S E C O N D S T R I K E S A N D I D E N T I C A L B A L L A T R E S T
S U C H T H A T A F T E R T H E C O L L I S I O N T H E D I R E C T I O N
O F E A C H B O W L M A K E S A N A N G L E O F 3 0 D E G R E E
W I T H T H E O R I G I N A L L I N E O F T H E M O T I O N F I N D
T H E S P E E D O F T H E T W O B A L L S A F T E R C O L L I S I O N