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Force and laws of
motion
Made by
uttam kumar
class – 9th ‘a’ 1
force
2
 A force can be a push or a pull. For example, when you push
open a door you have to apply a force to the door. You also
have to apply a force to pull open a drawer.
 You cannot see a force but often you can see what it does.
Forces can change the speed of something, the direction it is
moving in or its shape. For example, an elastic band gets
longer if you pull it.
Balance force
• When two forces acting on an object are equal in size
but act in opposite directions, we say that they
are balanced forces.
 If the forces on an object are balanced (or if there are
no forces acting on it) this is what happens:
• an object that is not moving stays still
• an object that is moving continues to move at the
same speed and in the same direction
3
Example
• Hanging objects
4
The forces on this
hanging crate are
equal in size but
act in opposite
directions. The
weight pulls down
and the tension in
the rope pulls up.
The forces on this
hanging crate are
Unbalanced force
• When two forces acting on an object are
not equal in size, we say that they
are unbalanced forces.
If the forces on an object
are unbalanced this is what happens:
• an object that is not moving starts to
move
• an object that is moving changes speed
or direction 5
example
• Resultant forces
• The size of the overall force acting on an object
is called the resultant force. If the forces are
balanced, this is zero. In the example above, the
resultant force is the difference between the two6
LAWS OF
MOTION
7
NEWTON
Sir Isaac Newton PRS MP (25 December
1642 – 20 March 1727) was an
English physicist and mathematician who is
widely regarded as one of the most influential
scientists of all time and as a key figure in
the scientific revolution
. Newton also made seminal contributions
to optics and shares credit with Gottfried
Leibniz for the invention of the infinitesimal
calculus.
Newton's Principia formulated the laws of
motion and universal gravitation that
dominated scientists' view of the physical
universe for the next three centuries. It also
demonstrated that the motion of objects on the
Earth and that of celestial bodies could be
8
NewtON’s Laws Of MOtiON
1. 1st Law – An object at rest
will stay at rest, and an
object in motion will stay in
motion at constant
velocity, unless acted upon
by an unbalanced force.
2. 2nd Law – Force equals
mass times acceleration.
3. 3rd Law – For every action 9
First law of
motion
law of inertia
10
First law
the law of inertia
According to Newton's first law, an
object in motion continues in motion
with the same speed and in the same
direction unless acted upon by an
unbalanced force. It is the natural
tendency of objects to keep on doing
what they're doing. All objects resist
changes in their state of motion. In
the absence of an unbalanced force, 11
According
to
Newton's
first
law, the
marble on
that bottom
ramp
should just
12
MATHEMATICALLY
FIRST LAW
The first law can be stated mathematically
as:-
13
‹#›
Factors which determine
the Moment of Inertia of a
body
 The mass of the body. Experiments show
that Inertia is directly proportional to the
mass.
 The distribution of mass in the body.
15
Affect of inertia on change
Of Object ‘s Mass
16
A real car has a large
mass ,so it has a
large mass , so it has
a large inertia, and
hence quite difficult to
A toy car has a
small mass, so it
has a small inertia
,and hence can be
moved easily by
Affect of inertia if object
is at rest
 Initially, both the coin
and card ,are in state
of rest. Now when we
hit the card with our
fingers , a force acts
on the card and
changes its state of
rest to that of motion.
The force of flicker
however, does not
acts on the coin and it
falls into the tumbler.
17
Affect of inertia if object is
moving
 This is what happens if passengers do not wear
seat belts while travelling in a car and the car
stops suddenly due to an accident. The large
force of inertia on the body of passengers can
throw passengers violently in forward direction
causing serious injuries.
18
Second law of
motion
(F= m x a)
19
momentum
Momentum can be defined as "mass in motion." All objects
have mass; so if an object is moving, then it has
momentum - it has its mass in motion. The amount of
momentum that an object has is dependent upon two
variables: how much stuff is moving and how fast
the stuff is moving. Momentum depends upon the
variables mass and velocity. In terms of an equation, the
momentum of an object is equal to the mass of the object
times the velocity of the object.
Momentum = mass • velocity
In physics, the symbol for the quantity momentum is the
lower case "p". Thus, the above equation can be rewritten
as 20
• The units for momentum would be mass
units times velocity units. The standard
metric unit of momentum is the kg•m/s.
While the kg•m/s is the standard metric
unit of momentum, there are a variety of
other units that are acceptable (though not
conventional) units of momentum.
Examples include kg•mi/hr, kg•km/hr, and
g•cm/s. In each of these examples, a
mass unit is multiplied by a velocity unit to21
Momentum In Everyday Life
• A karate player
is able to break
so many tiles,
because he
strikes with his
hand very, very
fast, producing
a extremely
large
momentum.
22
Second law of motion
• According to the second law of
motion :- The rate of change of
momentum of a body is directly
proportional to the applied
force, and takes place in the
direction in which the force acts.
23
•So, newton's second law
of motion can be
expressed as :-
Force ∝ change in momentum / time taken
24
MATHEMATICAL FORMULATION OF
SECOND LAW OF MOTION
Suppose an object of mass, m is moving along a straight
line with an initial velocity, u. It is uniformly accelerated to
velocity, ν in time, t by the application of a constant force, F
throughout the time, t. The initial and final momentum of
the object will be, p1 = mu and p2 = mν respectively.
The change in momentum
α p2 – p1
α mν – mu
α m (ν – u).
The rate of change of momentum α m (ν −u) / t
Or, the applied force, F α m (ν −u) / t
Or, the applied force, F = km (ν −u) / t (2)
= kma (3)
25
Here a [ = (ν-u) / t] is the acceleration, which
is the rate of change of velocity. The
quantity, k is a constant of proportionality.
The SI units of mass and acceleration are kg
and m s-2 respectively. The unit of force is so
chosen that the value of the constant, k
becomes one. For this, one unit of force is
defined as the amount that produces an
acceleration of 1 m s-2 in an object of 1 kg
mass. That is,
1 unit of force = k (1 kg) (1 m s-2). 26
Demonstration of second
law of motion
27
Since the acceleration produced is inversely proportional to the mass of
the object, it is easier to move (or accelerate) a small ball (having small
mass) than a big truck (having large mass ) by the force of our push.
• The SI unit of force is newton which
is denoted by N. A newton is that
force which when acting on a body
of mass 1 kg produces an
acceleration of 1m/s2 in it. We
have just seen that
F=ma
Putting m=1kg and a=1m/s2, F
becomes 1 newton.
So 1 newton = 1kg 1m/s2.
28
Application of
second law of
motion
29
In a cricket match a fielder moves his arms back while trying to catch
a cricket ball because if he tries to stop the fast moving ball suddenly
then the speed decreases to zero in a very short time. Therefore the
retardation of the ball will be very large. As a result the fielder has to
apply a larger force to stop the ball. Thus, if he tries to stop a fast
moving cricket ball the fielder may get hurt as the ball exerts a great
pressure on the hands but if he tries to stop it gradually by moving his
arms back then the velocity decreases gradually in a longer interval
of time and hence retardation decreases. Thus the force exerted by
30
A cushion like surface is made for a „high jump
athlete‟. This reduces the large momentum of
falling athlete more gently. Due to this, less
opposing force acts on the athlete's body and
injuries are prevented. 31
NewtON’s 2nd Law proves that different
masses accelerate to the earth at the
same rate, but with different forces.
• We know that
objects with
different masses
accelerate to the
ground at the same
rate.
• However, because
of the 2nd Law we
know that they
don‟t hit the ground 32
third law
of motion
33
NewtON’s third Law Of
motion
According to Newton‟s Third Law of Motion
:-
To Every Action There is an
Equal and Opposite Reaction
34
Newton‟s third law of motion says :
Whenever one body exerts a force on
another body , the second body exerts an
equal and opposite force on the first body.
The force exerted by the first body is known
as “action” and the force exerted by the
second body on the first body is known as
“reaction”.
35
Examples to
illustrate
third law of motion
36
How Do We Walk
37
• When we walk on ground , then our foot
pushes the ground backward. The forward
reaction exerted by the ground on our foot
makes us move forward.
Recoiling of gun
38
• When a bullet is fired from a gun, the force sending
the bullet forward is equal is equal to the force
sending the gun backward. But due to the high
mass of the gun, it moves only a little distance
backward and gives a backward jerk or kick to
Flying of jet aeroplanes
and rockets
39
Modern jet aeroplanes and rockets work on the principle of
action and reaction. In aeroplanes engines exert a
backward force on the exhaust gases; the backward
rushing exhaust gases exert a forward force on the plane
which makes it move forward.
The case of a boat and the
ship
40
• Diagram shows “action” and
“reaction” when a man steps out
of a boat.
• The men push the water
backwards with the
oars. The backward
going water exerts an
equal and opposite push
on the boat, which
makes the boat move
Conservation of
momentum
Momentum is never
created or
destroyed.
When two(or more) bodies act
upon one another, their total
momentum remains constant(or
conserved) provided no external
41
A Newton's
cradle demonstrates
conservation of momentum.
42
•According to law of
conservation of mass
total momentum before
collision=total 43
Application of law of
conservation of momentum
A rocket works on
the principle of
conservation of
momentum
44
A jet aeroplane also works on
the principle of conservation of
momentum
45

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Force And Newtons Laws Of Motion

  • 1. Force and laws of motion Made by uttam kumar class – 9th ‘a’ 1
  • 2. force 2  A force can be a push or a pull. For example, when you push open a door you have to apply a force to the door. You also have to apply a force to pull open a drawer.  You cannot see a force but often you can see what it does. Forces can change the speed of something, the direction it is moving in or its shape. For example, an elastic band gets longer if you pull it.
  • 3. Balance force • When two forces acting on an object are equal in size but act in opposite directions, we say that they are balanced forces.  If the forces on an object are balanced (or if there are no forces acting on it) this is what happens: • an object that is not moving stays still • an object that is moving continues to move at the same speed and in the same direction 3
  • 4. Example • Hanging objects 4 The forces on this hanging crate are equal in size but act in opposite directions. The weight pulls down and the tension in the rope pulls up. The forces on this hanging crate are
  • 5. Unbalanced force • When two forces acting on an object are not equal in size, we say that they are unbalanced forces. If the forces on an object are unbalanced this is what happens: • an object that is not moving starts to move • an object that is moving changes speed or direction 5
  • 6. example • Resultant forces • The size of the overall force acting on an object is called the resultant force. If the forces are balanced, this is zero. In the example above, the resultant force is the difference between the two6
  • 8. NEWTON Sir Isaac Newton PRS MP (25 December 1642 – 20 March 1727) was an English physicist and mathematician who is widely regarded as one of the most influential scientists of all time and as a key figure in the scientific revolution . Newton also made seminal contributions to optics and shares credit with Gottfried Leibniz for the invention of the infinitesimal calculus. Newton's Principia formulated the laws of motion and universal gravitation that dominated scientists' view of the physical universe for the next three centuries. It also demonstrated that the motion of objects on the Earth and that of celestial bodies could be 8
  • 9. NewtON’s Laws Of MOtiON 1. 1st Law – An object at rest will stay at rest, and an object in motion will stay in motion at constant velocity, unless acted upon by an unbalanced force. 2. 2nd Law – Force equals mass times acceleration. 3. 3rd Law – For every action 9
  • 10. First law of motion law of inertia 10
  • 11. First law the law of inertia According to Newton's first law, an object in motion continues in motion with the same speed and in the same direction unless acted upon by an unbalanced force. It is the natural tendency of objects to keep on doing what they're doing. All objects resist changes in their state of motion. In the absence of an unbalanced force, 11
  • 13. MATHEMATICALLY FIRST LAW The first law can be stated mathematically as:- 13
  • 15. Factors which determine the Moment of Inertia of a body  The mass of the body. Experiments show that Inertia is directly proportional to the mass.  The distribution of mass in the body. 15
  • 16. Affect of inertia on change Of Object ‘s Mass 16 A real car has a large mass ,so it has a large mass , so it has a large inertia, and hence quite difficult to A toy car has a small mass, so it has a small inertia ,and hence can be moved easily by
  • 17. Affect of inertia if object is at rest  Initially, both the coin and card ,are in state of rest. Now when we hit the card with our fingers , a force acts on the card and changes its state of rest to that of motion. The force of flicker however, does not acts on the coin and it falls into the tumbler. 17
  • 18. Affect of inertia if object is moving  This is what happens if passengers do not wear seat belts while travelling in a car and the car stops suddenly due to an accident. The large force of inertia on the body of passengers can throw passengers violently in forward direction causing serious injuries. 18
  • 20. momentum Momentum can be defined as "mass in motion." All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion. The amount of momentum that an object has is dependent upon two variables: how much stuff is moving and how fast the stuff is moving. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object. Momentum = mass • velocity In physics, the symbol for the quantity momentum is the lower case "p". Thus, the above equation can be rewritten as 20
  • 21. • The units for momentum would be mass units times velocity units. The standard metric unit of momentum is the kg•m/s. While the kg•m/s is the standard metric unit of momentum, there are a variety of other units that are acceptable (though not conventional) units of momentum. Examples include kg•mi/hr, kg•km/hr, and g•cm/s. In each of these examples, a mass unit is multiplied by a velocity unit to21
  • 22. Momentum In Everyday Life • A karate player is able to break so many tiles, because he strikes with his hand very, very fast, producing a extremely large momentum. 22
  • 23. Second law of motion • According to the second law of motion :- The rate of change of momentum of a body is directly proportional to the applied force, and takes place in the direction in which the force acts. 23
  • 24. •So, newton's second law of motion can be expressed as :- Force ∝ change in momentum / time taken 24
  • 25. MATHEMATICAL FORMULATION OF SECOND LAW OF MOTION Suppose an object of mass, m is moving along a straight line with an initial velocity, u. It is uniformly accelerated to velocity, ν in time, t by the application of a constant force, F throughout the time, t. The initial and final momentum of the object will be, p1 = mu and p2 = mν respectively. The change in momentum α p2 – p1 α mν – mu α m (ν – u). The rate of change of momentum α m (ν −u) / t Or, the applied force, F α m (ν −u) / t Or, the applied force, F = km (ν −u) / t (2) = kma (3) 25
  • 26. Here a [ = (ν-u) / t] is the acceleration, which is the rate of change of velocity. The quantity, k is a constant of proportionality. The SI units of mass and acceleration are kg and m s-2 respectively. The unit of force is so chosen that the value of the constant, k becomes one. For this, one unit of force is defined as the amount that produces an acceleration of 1 m s-2 in an object of 1 kg mass. That is, 1 unit of force = k (1 kg) (1 m s-2). 26
  • 27. Demonstration of second law of motion 27 Since the acceleration produced is inversely proportional to the mass of the object, it is easier to move (or accelerate) a small ball (having small mass) than a big truck (having large mass ) by the force of our push.
  • 28. • The SI unit of force is newton which is denoted by N. A newton is that force which when acting on a body of mass 1 kg produces an acceleration of 1m/s2 in it. We have just seen that F=ma Putting m=1kg and a=1m/s2, F becomes 1 newton. So 1 newton = 1kg 1m/s2. 28
  • 30. In a cricket match a fielder moves his arms back while trying to catch a cricket ball because if he tries to stop the fast moving ball suddenly then the speed decreases to zero in a very short time. Therefore the retardation of the ball will be very large. As a result the fielder has to apply a larger force to stop the ball. Thus, if he tries to stop a fast moving cricket ball the fielder may get hurt as the ball exerts a great pressure on the hands but if he tries to stop it gradually by moving his arms back then the velocity decreases gradually in a longer interval of time and hence retardation decreases. Thus the force exerted by 30
  • 31. A cushion like surface is made for a „high jump athlete‟. This reduces the large momentum of falling athlete more gently. Due to this, less opposing force acts on the athlete's body and injuries are prevented. 31
  • 32. NewtON’s 2nd Law proves that different masses accelerate to the earth at the same rate, but with different forces. • We know that objects with different masses accelerate to the ground at the same rate. • However, because of the 2nd Law we know that they don‟t hit the ground 32
  • 34. NewtON’s third Law Of motion According to Newton‟s Third Law of Motion :- To Every Action There is an Equal and Opposite Reaction 34
  • 35. Newton‟s third law of motion says : Whenever one body exerts a force on another body , the second body exerts an equal and opposite force on the first body. The force exerted by the first body is known as “action” and the force exerted by the second body on the first body is known as “reaction”. 35
  • 37. How Do We Walk 37 • When we walk on ground , then our foot pushes the ground backward. The forward reaction exerted by the ground on our foot makes us move forward.
  • 38. Recoiling of gun 38 • When a bullet is fired from a gun, the force sending the bullet forward is equal is equal to the force sending the gun backward. But due to the high mass of the gun, it moves only a little distance backward and gives a backward jerk or kick to
  • 39. Flying of jet aeroplanes and rockets 39 Modern jet aeroplanes and rockets work on the principle of action and reaction. In aeroplanes engines exert a backward force on the exhaust gases; the backward rushing exhaust gases exert a forward force on the plane which makes it move forward.
  • 40. The case of a boat and the ship 40 • Diagram shows “action” and “reaction” when a man steps out of a boat. • The men push the water backwards with the oars. The backward going water exerts an equal and opposite push on the boat, which makes the boat move
  • 41. Conservation of momentum Momentum is never created or destroyed. When two(or more) bodies act upon one another, their total momentum remains constant(or conserved) provided no external 41
  • 43. •According to law of conservation of mass total momentum before collision=total 43
  • 44. Application of law of conservation of momentum A rocket works on the principle of conservation of momentum 44 A jet aeroplane also works on the principle of conservation of momentum
  • 45. 45