Newton’s First Law
Every object remains at rest, or continues with constant velocity, unless it experiences an unbalanced force. Aka law of intertia
Newton’s Second law
The acceleration of a body experiencing an unbalanced force is directly proportional to the net force acting on it and inversely proportional to the mass of the body.
Newton’s third law
When one body exerts a force on another body (an action force), the second body exerts an equal force on the first body but in the opposite direction (a reaction force)
Action-Reaction Pairs
• Are the same magnitude
• Act in opposite directions
• Act on two different objects
Constant Acceleration Equations
0
when forces are balanced, the net force = ?
Law of Inertia
tendency to resist motion or change in motion
often not observed
Newton’s First Law is ______ in real life
ma (mass * acceleration)
Fnet =?
Fnet/m (Net force over mass)
a (acceleration) = ?
use the area under the graph
conversion of acceleration to velocity using graph
use the area under the graph
conversion of velocity to displacement using graph
use the gradient of the graph
conversion of velocity to acceleration using graph
use the gradient of the graph
conversion of displacement to velocity using graph
Centripetal acceleration
An object accelerating towards the centre of its path. Given as a = v²/r and v = 2πr/T
Force required for circular motion
F = ma = (mv2)/r (Newton’s second law)
towards the centre
centripetal motion acts?
uniform circular motion
constant speed
constant radius
velocity is tangential to the path of travel
change in direction of velocity is radial towards the centre
net force towards the centre
tangential
90 degrees from a certain path
acceleration
change in direction of velocity
period
time taken to complete one revolution
frequency
rotations per second
speed in circular motion
d/t = circumference over period = 2πr/T
frequency formula
F = 1/T
properties of circular motion with flat tracks
The vehicle relies entirely on friction between the tyres and road to provide the centripetal force for circular motion
flat track
a completely smooth track that allows objects to have a normal force parallel to the gravitational force
friction is insufficient
If the ___________, the vehicle cannot follow the circular flat path, departing at a tangent
properties of circular motion with banked tracks
The net force toward the centre includes both friction and a component of the normal force
banked tracks
tracks at an angle to the ground, meaning objects do not have a normal force parallel to the gravitational force
normal force
the force exerted by a surface to support the weight of an object resting on it, acting perpendicular to the surface
normal force on banked tracks
will be greater than that on a flat track
Design speed
The speed at which no sideways frictional force is required, and depends on the angle
centre
An object in horizontal circular motion has an acceleration towards the _____ of the circle
magnitude and direction
in horizontal circular motion, the _______ change
constant speed
Vertical circular paths do not usually involve _______
Uniform horizontal motion
• No unbalanced forces
• Normal force balances the gravitaional force
forces on an object at rest
FN and Fg = 1G
Circular motion through dips
Net centripetal acceleration is upwards due to circular path
Normal force and force due to gravity are unbalanced
Normal force greater than the ‘usual’ balance of force due to gravity
seat feels heavier than normal/pushing up more
Circular motion over humps
• Net centripetal acceleration downwards due to circular path
• Normal force and force due to gravity not in balance
• Normal force less than the ‘usual’ balance of force due to gravity
• You feel the seat pushing up less/lighter than normal
Circular motion through loops
• You don’t fall if the centripetal force is greater than the force due to gravity
• When the cart is at the critical speed where the cart just stays in contact / is about to fall, the normal force is zero
• The force due to gravity does not change
• The normal force varies throughout the motion
gravity
the only force acting on a projectile that is launched at an angle to the horizontal is?
downwards
when gravity is the only force on an object, the force arrow will always point?
constant
horizontal velocity will remain _____ when there are no restraining forces
horizontal velocity
gravity has no effect on __________
9.8 m/s/s
the value for gravitational acceleration is?
highest point
the vertical velocity will be zero at the?
at its lowest
at the highest point of its trajectory, the kinetic energy of a launched object will be?
trigonometry
What do you use to resolve horizontal and vertical components?
constant acceleration equations
What do you use to resolve for time, distance, velocity?
time and constant acceleration equations
What do you use to solve for horizontal distance?
collisions
when there is motion, there may be?
momentum
the product of an objects mass and its velocity
vector
momentum is a ______ quantity
law of conservation of momentum
in any collision between objects in an isolated system, the total momentum of the system is conserved
sum of initial momentum
the sum of final momentum is equal to the:
-1 * Force on B by A
Force on A by B = ?
impulse
the change in momentum of an object
calculating impulse with graphs
area under Force vs time graph
force formula through momentum
impulse using force vs time
impulse using mass and velocity
impulse formula
work has been done
when a force acts on an object, causing a change in its displacement, we say?
work
the transfer of energy from on object to another, or the transfer of energy from one form to another
W = Fs
work formula when force is constant
W = Fs cos theta
work formula when force is applied at an angle to displacement
the change in energy
work can be expressed as?
vector
force is a _____ quantity
vector
displacement is a ____ quantity
scalar
work is a _____ quantity
scalar
energy is a _____ quantity
net force
use the _______ when calculating the work done on an object
no
is work being done when an object is being held stationary?
no
is work being done when an object is in circular motion?
no work has been done
when there is no displacement in the direction of the force, _________________________ on the object by that force
the area under the force vs displacemnt
work done when force is not constant
elastic potential energy
energy stored in material when it is stretched or compressed
potential energy
energy of an object due to its displacement
elastic
If the material is ______, then the energy can be returned to the system when the material returns to its original shape
If the material is ______, then the material will undergo permanent changes
hooke’s law
describes how the size of a force exerted by a spring is proportional to the length of extension or compression, and the force is in the opposite direction to the extension or compression
kinetic energy
the energy of motion of an object
½ mv2
kinetic energy for low-speeds (non-relativistic)
perfectly elastic collision
kinetic energy is transferred between objects with no energy loss or wastage
kinetic energy before = kinetic energy after
elastic collisions in a closed system
inelastic collisions
kinetic energy is ‘lost’ or wasted through transformation
false
most day-to-day collisions are perfectly elastic
almost elastic collisions
collisions with very little energy transformed
examples of almost elastic collisions
newton’s cradle and snooker ball collisions
collisions between subatomic particles
example of perfectly elastic collisions
gravitational potential energy
the energy stored in an object due to its position in a gravitational field
formula for gravitational potential energy
area under force vs distance graph
how to find changes to gravitational potential energy?
mechanical energy
energy associated with the motion and the position of an object
examples of mechanical energy
heat
sound
kinetic energy
potential energy
energy transformations
the change of energy from one form to another
law of conservation of energy
While energy can be transformed to different forms of energy, or transferred between objects, it cannot be created or destroyed
mechanical energy formula
sum of kinetic and potential energy of an object
closed system
mechanical energy is constant in a ________