Do now! Can you continue the questions you started last lesson? (Page 27 questions 6, 7 & 8. Page 29 questions 1 & 2) Bunny suicide #1
Jan 19, 2016
Do now!
Can you continue the questions you started last lesson? (Page 27 questions 6, 7 & 8.Page 29 questions 1 & 2) Bunny suicide #1
Last lesson
• Motion graphs
No movement
distance
time
speed
time
Constant speed
distance
time
speed
time
Area = distance travelled
Constant acceleration
distance
time
speed
time
Area = distance travelled
Gradient = acceleration
a = (v-u)/t
You did some questions!
Page 27 questions 6, 7 & 8.Page29 questions 1 & 2.
Today’s lesson
• 1.7 Know what a force is
• 1.8 Types of force
• 1.9 & 1.10 Vectors and scalars
• 1.11 Adding forces
• 1.13 Newton’s laws (2nd law)
Forces
• Remember a force is a push (or pull)
Forces
• Force is measured in Newtons
Forces
• There are many types of forces; electrostatic, magnetic, upthrust, friction, gravitational………
Which of the following is the odd one out?
MassSpeedForce
TemperatureDistanceElephant
Scalars and vectors
Scalars
Scalar quantities have a magnitude (size) only.
For example:
Temperature, mass, distance, speed, energy.
1 kg
Vectors
Vector quantities have a magnitude (size) and direction.
For example:
Force, acceleration, displacement, velocity, momentum.
10 N
Scalars and Vectors
scalars vectors
Magnitude (size)
No direction
Magnitude and direction
temperature mass
speed
velocity
force
acceleration
Scalars and Vectors
scalars vectors
Magnitude (size)
No direction
Magnitude and direction
temperature mass
speed
velocity
force
acceleration
Copy please!
Representing vectors
Vectors can be represented by arrows. The length of the arrow indicates the magnitude, and the direction the direction!
Adding vectors
When adding vectors (such as force or velocity) , it is important to remember they are vectors and their direction needs to be taken into account.
The result of adding two vectors is called the resultant.
Adding vectors
For example;
6 N 4 N 2 N
4 m/s
4 m/s 5.7 m/s
Resultant force
Resultant velocity
Adding vectors
For example;
6 N 4 N 2 N
Resultant force
Copy please!
An interesting example
Think of a dog (dead) orbiting the earth with constant speed (in a circle).
An interesting example
At this point, what is its velocity?
velocity?
An interesting example
velocity
An interesting example
velocity?
What is its velocity here?
An interesting example
velocity
As you can see the velocity has changed as it is now going in another direction.
An interesting example
velocity
We have constant speed but changing velocity.
Of course a changing velocity means it must be accelerating! We’ll come back to this in year 12!
Resultant force
Newton’s Laws of Motion
That’s me!
Newton’s 1st Law
If there is no resultant force acting on an object, it will move with constant velocity. (Note the constant velocity could be zero).
Newton’s 1st Law
If there is no resultant force acting on an object, it will move with constant velocity. (Note the constant velocity could be zero).
Does this make sense?
Newton’s 1st Law
If there is no resultant force acting on an object, it will move with constant velocity. (Note the constant velocity could be zero).
Can you copy it whilst you think
about it?
Newton’s 1st lawNewton’s first law was actually discovered by Galileo.
Newton nicked it!
Newton’s first law
Galileo imagined a marble rolling in a very smooth (i.e. no friction) bowl.
Newton’s first lawIf you let go of the ball, it always rolls up the opposite side until it reaches its original height (this actually comes from the conservation of energy).
Newton’s first lawNo matter how long the bowl, this always happens
Newton’s first lawNo matter how long the bowl, this always happens.
constant velocity
Newton’s first lawGalileo imagined an infinitely long bowl where the ball never reaches the other side!
Newton’s first lawThe ball travels with constant velocity until its reaches the other side (which it never does!).
Galileo realised that this was the natural state of objects when no (resultant ) forces act.
constant velocity
Other examplesImagine a (giant) dog falling from a tall building
Other examplesTo start the dog is travelling slowly. The main force on the dog is gravity, with a little air resistance
gravity
Air resistance
Other examplesAs the dog falls faster, the air resistance increases (note that its weight (force of gravity) stays the same).
gravity
Air resistance
Other examplesEventually the air resistance grows until it equals the force of gravity. At this time the dog travels with constant velocity (called its terminal velocity)
gravity
Air resistance
Oooops!
Another example
Imagine Mr Porter cycling at constant velocity.
Newton’s 1st law
He is providing a pushing force.
Constant velocity
Newton’s 1st law
There is an equal and opposite friction force.
Constant velocity
Pushing force
friction
Newton’s second law
Newton’s second law concerns examples where there is a resultant force.
I thought of this law myself!
Let’s go back to Mr Porter on his bike.
Remember when the forces are balanced (no resultant force) he travels at constant velocity.
Constant velocity
Pushing force
friction
Newton’s 2nd law
Now lets imagine what happens if he pedals faster.
Pushing force
friction
Newton’s 2nd law
His velocity changes (goes faster). He accelerates!
Pushing force
friction
acceleration
Remember that acceleration is rate of change of velocity. In other words
acceleration = (change in velocity)/time
Newton’s 2nd law
Now imagine what happens if he stops pedalling.
friction
Newton’s 2nd law
He slows down (decellerates). This is a negative acceleration.
friction
Newton’s 2nd law
So when there is a resultant force, an object accelerates (changes velocity)
Pushing force
friction
Mr Porter’s Porche
Newton’s 2nd lawThere is a mathematical relationship between the resultant force and acceleration.
Resultant force (N) = mass (kg) x acceleration (m/s2)
FR = maIt’s physics,
there’s always a mathematical relationship!
Newton’s 2nd lawThere is a mathematical relationship between the resultant force and acceleration.
Resultant force (N) = mass (kg) x acceleration (m/s2)
FR = maCan you copy this
too?
An example
What will be Mr Porter’s acceleration?
Pushing force (100 N)
Friction (60 N)
Mass of Mr Porter and bike = 100 kg
An example
Resultant force = 100 – 60 = 40 N
FR = ma
40 = 100a
a = 0.4 m/s2
Pushing force (100 N)
Friction (60 N)
Mass of Mr Porter and bike = 100 kg
Newton’s 3rd lawIf a body A exerts a force on body B, body B will exert an equal but opposite force on body A.
Hand (body A) exerts force on table (body B)
Table (body B) exerts force on hand (body A)
Don’t worry!
We won’t do Newton’s 3rd law until next year!
That’s all folks!
Let’s try some questions!
Complete Physics for IGCSE
Read pages 38 and 39 and then try page 37 questions 1, 2 and 3 and page 39 Questions 1 and 2