Chapter 3: Forces

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3
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Table of Contents
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Unit 1 Energy and Motion
Chapter 3 Forces
3.1 Newtons Second Law
3.2 Gravity
3.3 The Third Law of Motion
3
Newtons Second Law
3.1
Force, Mass, and Acceleration

• Newtons first law of motion states that the
  motion of an object changes only if an unbalanced
  force acts on the object.

• Newtons second law of motion describes how the
  forces exerted on an object, its mass, and its
  acceleration are related.

4
Newtons Second Law
3.1
Force and Acceleration

• Whats different about throwing a ball
  horizontally as hard as you can and tossing it
  gently?

• When you throw hard, you exert a much greater
  force on the ball.

5
Newtons Second Law
3.1
Force and Acceleration

• The hard-thrown ball has a greater change in
  velocity, and the change occurs over a shorter
  period of time.

6
Newtons Second Law
3.1
Force and Acceleration

• Recall that acceleration is the change in
  velocity divided by the time it takes for the
  change to occur.

• So, a hard-thrown ball has a greater acceleration
  than a gently thrown ball.

7
Newtons Second Law
3.1
Mass and Acceleration

• If you throw a softball and a baseball as hard as
  you can, why dont they have the same speed?

• The difference is due to their masses.

8
Newtons Second Law
3.1
Mass and Acceleration

• If it takes the same amount of time to throw both
  balls, the softball would have less acceleration.

• The acceleration of an object depends on its mass
  as well as the force exerted on it.
• The heavier the object the less acceleration

• Force, mass, and acceleration are related.

9
Newtons Second Law
3.1
Newtons Second Law

• Newtons second law of motion acceleration of an
  object is in the same direction as the net force
  on the object

10
Newtons Second Law
3.1
Calculating Net Force with the Second Law

• Newtons second law also can be used to calculate
  the net force if mass and acceleration are known.

• To do this, the equation for Newtons second law
  must be solved for the net force, F.

11
Newtons Second Law
3.1
Calculating Net Force with the Second Law

• To solve for the net force, multiply both sides
  of the equation by the mass

• The mass, m, on the left side cancels, giving the
  equation

12
Newtons Second Law
3.1
Friction

• Suppose you give a skateboard a push with your
  hand.

• According to Newtons first law of motion, if the
  net force acting on a moving object is zero, it
  will continue to move in a straight line with
  constant speed.

• Does the skateboard keep moving with constant
  speed after it leaves your hand?

13
Newtons Second Law
3.1
Friction

• Friction- force that opposes the sliding motion
  of two surfaces that are touching each other.

• Friction depends on
• the roughness of surfaces
• force pressing the surfaces together.

14
Newtons Second Law
3.1
Static Friction

• Suppose you have filled a cardboard box with
  books and want to move it.

• Its too heavy to lift, so you start pushing on
  it, but it doesnt budge.

• If the box doesnt move, then it has zero
  acceleration.

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Newtons Second Law
3.1
Static Friction

• Static friction frictional force that prevents
  two surfaces from moving.

16
Newtons Second Law
3.1
Sliding Friction

• If you stop pushing, the box quickly comes to a
  stop.

• This is because as the box slides across the
  floor, another force?sliding friction?opposes the
  motion of the box.

• Sliding friction opposes the motion of two
  surfaces sliding past each other.

17
Newtons Second Law
3.1
Rolling Friction

• As a wheel rolls over a surface, the wheel digs
  into the surface, causing both the wheel and the
  surface to be deformed.

18
Newtons Second Law
3.1
Rolling Friction

• Static friction acts over the deformed area where
  the wheel and surface are in contact, producing a
  frictional force called rolling fiction.

• Rolling friction is the frictional force between
  a rolling object and the surface it rolls on.

19
Newtons Second Law
3.1
Air Resistance

• air resistance opposes the motion of objects
  that move through the air.

• Air resistance causes objects to fall with
  different accelerations and different speeds.

20
Newtons Second Law
3.1
Air Resistance

• Air resistance acts in the opposite direction to
  the motion of an object through air.

• If the object is falling downward, air resistance
  acts upward on the object.

21
Newtons Second Law
3.1
Air Resistance

• The amount of air resistance on an object depends
  on the speed, size, and shape of the object.

• Air resistance, not the objects mass, is why
  feathers, leaves, and pieces of paper fall more
  slowly than pennies, acorns, and apples.

22
Newtons Second Law
3.1
Terminal Velocity

• As an object falls, the downward force of gravity
  causes the object to accelerate.

• However, as an object falls faster, the upward
  force of air resistance increases.

• This causes the net force on a sky diver to
  decrease as the sky diver falls.

23
Newtons Second Law
3.1
Terminal Velocity

• Finally, the upward air resistance force becomes
  large enough to balance the downward force of
  gravity.

• This means the net force on the object is zero.

• Then the acceleration of the object is also zero,
  and the object falls with a constant speed called
  the terminal velocity.

24
Newtons Second Law
3.1
Terminal Velocity

• The terminal velocity is the highest speed a
  falling object will reach.

• The terminal velocity depends on the size, shape,
  and mass of a falling object.

25
Section Check
3.1
Question 1
Newtons second law of motion states that
_________ of an object is in the same direction
as the net force on the object.
A. acceleration B. momentum C. speed D.
velocity
26
Section Check
3.1
Answer
The answer is A. Acceleration can be calculated
by dividing the net force in newtons by the mass
in kilograms.
27
Section Check
3.1
Question 2
The unit of force is __________.
A. joule B. lux C. newton D. watt
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Section Check
3.1
Answer
The answer is C. One newton 1 kg m/s2
29
Section Check
3.1
Question 3
What causes friction?
Answer
Friction results from the sticking together of
two surfaces that are in contact.
30
Gravity
3.2
What is gravity?

• Gravity is an attractive force between any two
  objects that depends on the masses of the objects
  and the distance between them.

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Gravity
3.2
The Law of Universal Gravitation

• Isaac Newton formulated the law of universal
  gravitation, which he published in 1687.

32
Gravity
3.2
The Law of Universal Gravitation

• G Universal gravitational constant
• M1 and M2 mass of objects
• d distance between objects
• F force of gravity between objects

• The law of universal gravitation enables the
  force of gravity to be calculated between any two
  objects if their masses and the distance between
  them is known.

33
Gravity
3.2
The Range of Gravity

• According to the law of universal gravitation,
  the gravitational force between two masses
  decreases rapidly as the distance between the
  masses increases.

34
Gravity
3.2
The Range of Gravity

• No matter how far apart two objects are, the
  gravitational force between them never completely
  goes to zero.

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Gravity
3.2
Finding Other Planets

• In the 1840s the most distant planet known was
  Uranus.

• The motion of Uranus calculated from the law of
  universal gravitation disagreed slightly with
  its observed motion.

• Some astronomers suggested that there must be an
  undiscovered planet affecting the motion of
  Uranus.

36
Gravity
3.2
Finding Other Planets

• Using the law of universal gravitation and
  Newtons laws of motion, two astronomers
  independently calculated the orbit of this planet.

• As a result of these calculations, the planet
  Neptune was found in 1846.

37
Gravity
3.2
Earths Gravitational Acceleration

• Earths gravity acceleration- 9.8 m/s2.
• Represented by the symbol g

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Gravity
3.2
Weight

• Weight- gravitational force exerted on an object

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Gravity
3.2
Weight and Mass

• Weight and mass are not the same.

• Weight is a force and mass is a measure of the
  amount of matter an object contains.

40
Gravity
3.2
Weight and Mass

• The weight of an object usually is the
  gravitational force between the object and Earth.

• The weight of an object can change, depending on
  the gravitational force on the object.

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Gravity
3.2
Weight and Mass

• The table shows how various weights on Earth
  would be different on the Moon and some of the
  planets.

42
Gravity
3.2
Projectile Motion

• If youve tossed a ball to someone, youve
  probably noticed that thrown objects dont always
  travel in straight lines. They curve downward.

43
Gravity
3.2
Horizontal and Vertical Motions

• When you throw a ball, the force exerted by your
  hand pushes the ball forward.

• This force gives the ball horizontal motion.

• No force accelerates it forward, so its
  horizontal velocity is constant, if you ignore
  air resistance.

44
Gravity
3.2
Horizontal and Vertical Motions

• However, when you let go of the ball, gravity can
  pull it downward, giving it vertical motion.

• The ball has constant horizontal velocity but
  increasing vertical velocity.

45
Gravity
3.2
Horizontal and Vertical Motions

• Gravity exerts an unbalanced force on the ball,
  changing the direction of its path from only
  forward to forward and downward.

• The result of these two motions is that the ball
  appears to travel in a curve.

46
Gravity
3.2
Horizontal and Vertical Distance

• If you were to throw a ball as hard as you could
  from shoulder height in a perfectly horizontal
  direction, would it take longer to reach the
  ground than if you dropped a ball from the same
  height?

Click image to view movie
47
Gravity
3.2
Horizontal and Vertical Distance

• Surprisingly, it wouldnt.

• Both balls travel the same vertical distance in
  the same amount of time.

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Gravity
3.2
Centripetal Force

• centripetal acceleration Acceleration toward the
  center of a curved or circular path is called.

49
Gravity
3.2
Centripetal Force

• centripetal force The net force exerted toward
  the center of a curved path is called a.
• Force pushes objects to the outside

50
Gravity
3.2
Centripetal Force and Traction

• When a car rounds a curve on a highway, a
  centripetal force must be acting on the car to
  keep it moving in a curved path.

• This centripetal force is the frictional force,
  or the traction, between the tires and the road
  surface.

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Gravity
3.2
Centripetal Force and Traction

• Anything that moves in a circle is doing so
  because a centripetal force is accelerating it
  toward the center.

52
Gravity
3.2
Gravity Can Be a Centripetal Force

• Imagine whirling an object tied to a string above
  your head.

• The string exerts a centripetal force on the
  object that keeps it moving in a circular path.

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Gravity
3.2
Gravity Can Be a Centripetal Force

• Earths gravity exerts a centripetal force on the
  Moon that keeps it moving in a nearly circular
  orbit.

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Section Check
3.2
Question 1
Gravity is an attractive force between any two
objects and depends on __________.
Answer
Gravity is an attractive force between any
two objects and depends on the masses of the
objects and the distance between them.
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Section Check
3.2
Question 2
Which is NOT one of the four basic forces?
A. gravity B. net C. strong nuclear D. weak
nuclear
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Section Check
3.2
Answer
The answer is B. The fourth basic force is the
electromagnetic force, which causes electricity,
magnetism, and chemical interactions between
atoms and molecules.
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Section Check
3.2
Question 3
Which of the following equations represents the
law of universal gravitation?
A. F G(m1m2/d2) B. G F(m1m2/d2) C. F
G(m1 - m2/d2) D. F G(d2/m1m2)
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Section Check
3.2
Answer
The answer is A. In the equation, G is the
universal gravitational constant and d is the
distance between the two masses, m1 and m2.
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The Third Law of Motion
3.3
Newtons Third Law

• Newtons third law of motion
• For every action there is an equal and opposite
  reaction

60
The Third Law of Motion
3.3
Action and Reaction

• When you jump on a trampoline, for example, you
  exert a downward force on the trampoline.

• Simultaneously, the trampoline exerts an equal
  force upward, sending you high into the air.

61
The Third Law of Motion
3.3
Action and Reaction Forces Dont Cancel

• According to the third law of motion, objects are
  experiencing unbalanced forces

• Thus, even though the forces are equal, they are
  not balanced because they act on different
  objects.

62
The Third Law of Motion
3.3
Action and Reaction Forces Dont Cancel

• For example, a swimmer acts on the water, the
  reaction of the water pushes the swimmer
  forward.

• Thus, a net force, or unbalanced force, acts on
  the swimmer so a change in his or her motion
  occurs.

63
The Third Law of Motion
3.3
Rocket Propulsion

• In a rocket engine, burning fuel produces hot
  gases. The rocket engine exerts a force on these
  gases and causes them to escape out the back of
  the rocket.

• Newtons third law, the gases exert a force on
  the rocket and push it forward.

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The Third Law of Motion
3.3
Momentum

• momentum that is related to how much force is
  needed to change its motion.

• momentum of an object is the product of its mass
  and velocity.

65
The Third Law of Motion
3.3
Momentum

• Momentum symbol p

• The unit for momentum is kg m/s.

66
The Third Law of Motion
3.3
Force and Changing Momentum

• Recall that acceleration is the difference
  between the initial and final velocity, divided
  by the time.

• Also, from Newtons second law, the net force on
  an object equals its mass times its acceleration.

67
The Third Law of Motion
3.3
Force and Changing Momentum

• Calculating force from momentum

• mvf is the final momentum
• mvi is the initial momentum.

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The Third Law of Motion
3.3
Law of Conservation of Momentum

• The momentum of an object doesnt change unless
  its mass, velocity, or both change.

• Momentum, however, can be transferred from one
  object to another.

• The law of conservation of momentum-
• if a group of objects exerts forces only on each
  other, their total momentum doesnt change.

69
The Third Law of Motion
3.3
When Objects Collide

• A collision depend on the momentum of each
  object.

• When the first puck hits the second puck from
  behind, it gives the second puck momentum in the
  same direction.

70
The Third Law of Motion
3.3
When Objects Collide

• If the pucks are speeding toward each other with
  the same speed, the total momentum is zero.

71
Section Check
3.3
Question 1
According to Newtons third law of motion, what
happens when one object exerts a force on a
second object?
Answer
According to Newtons law, the second
object exerts a force on the first that is equal
in strength and opposite in direction.
72
Section Check
3.3
Question 2
The momentum of an object is the product of its
__________ and __________.
A. mass, acceleration B. mass, velocity C.
mass, weight D. net force, velocity
73
Section Check
3.3
Answer
The correct answer is B. An objects momentum
is the product of its mass and velocity, and is
given the symbol p.
74
Section Check
3.3
Question 3
When two objects collide, what happens to their
momentum?
75
Section Check
3.3
Answer
According to the law of conservation of momentum,
if the objects in a collision exert forces only
on each other, their total momentum doesnt
change, even when momentum is transferred from
one object to another.
76
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