Our Dynamic Universe Flashcards
Prefixes
pico, p, x10^-12
nano, n, x10^-9
micro, u, x10^-6
milli, m, x10^-3
centi, c, 10^-2
kilo, k, x10^3
mega, M, x10^6
giga, G, x10^9
tera, T, x10^12
What is an uncertainty?
The measurement of any physical quantity is liable to an error or uncertainty
What is a systematic uncertainty and what are examples on how they are caused?
These are cause by some constant value.
It is an error which affects all the measurements the same way.
E.g. Scale not properly set to 0, measuring tape ‘stretched’, or faulty apparatus (zero on ruler scale isn’t at the edge)
What is a reading uncertainty and how do you calculate them?
This indicates how well and instrument scale can be read.
For analogue scales, uncertainty is +/-half of the least significant digit.
For digital scales, uncertainty is +/- 1 in the least significant digit.
What is a random uncertainty?
These show up when you make a series of measurements of the same quantity, when the measurement is repeated and slight variations occur.
Random uncertainty’s may be reduced by increasing the number of repeated measurements.
Small uncertainty = more reliable
What is a percentage uncertainty and how do you calculate them?
Allows us to indicate how precise a value is.
% = random uncertainty/mean value x 100%
The overall uncertainty will be the highest percentage uncertainty.
What does ‘motion’ mean?
The word motion is used to describe something that is moving.
What is the definition of speed?
The distance travelled by an object in one second.
What is average speed and experiment?
Average speed is the average speed throughout the whole journey. You need two pieces of information; total distance travelled and time for total journey.
You need a QED timer, metre stick, light gates, cart and mask.
Allow for the trolley to run down the slope, measure the difference between the two light gates using a metre stick to get the distance. Record the time for the trolley to run between light gates on the QED timer and sub into formula to get the average speed.
What is instantaneous speed and experiment?
The instantaneous speed is the speed of an object at a particular point on the journey.
You need a ruler, a cart and mask, a light gate and a QED timer.
Let the trolley run down the slope and the timer will start recording when the mask cuts the light beam and stops once the light beam is restored. Use the length of the mask and time to travel through the light gate to get instantaneous speed.
The smaller the time interval, the more accurate the value of instantaneous speed.
What is acceleration and experiment?
Acceleration is the change is velocity per unit time.
Acceleration is directly proportional to force.
Acceleration of any object is in the same direction as the unbalanced force acting on it.
SINGLE CARD, DOUBLE BEAM EXPERIMENT (state apparatus)
- measure the length of the mask.
- QED timer records the time for the mask to pass the first light gate
- QED timer record the time for the mask to pass the second light gate.
- QED timer record the time to move inbetween the light gates.
initial velocity = length of card/t1
final velocity = length of card/t1
(use acceleration formula)
DOUBLE CARD, SINGLE BEAM
- QED timer record time for the first mask to pass the light gate.
- QED timer records time for the second mask to pass the light gate.
- QED timer records time between passing the two masks passing through the light gate.
(use same three formulas as before)
If an object is slowing down, the acceleration will be negative = deceleration.
When the acceleration is vertical, a=9.8ms^-2 due to gravity which acts downwards.
What’s the speed/time graph formula?
D= AreaUnderGraph
What are vectors and scalars and what are examples of them?
A scalar quantity is defined by magnitude.
A vector quantity is defined by magnitude and direction.
VECTORS
- Displacement
- Acceleration
- Impulse
- Force
- Weight
- Momentum
- Velocity
SCALARS
- Pressue
- Power
- Volume
- Distance
- Work
- Mass
- Speed
- Kinetic energy
- Potential energy
- Temperature
Addition of vectors
Two or more vectors can be added to get a resultant vector.
Magnitude and direction need to be taken into account.
Pythagoras, SOHCAHTOA, Sine rule, and cosine rule can be used to solve these.
Pythagoras: c^2 = a^2 +b^2
SOHCAHTOA
Sine rule: Can be used if cosine can’t be used, a/sinA = b/sinB = c/sinC
Cosine rule: Can be used if you have all 3 sides of a triangle, or if you have two sides and an angle al next to each other, a^2 = b^2 + c^2 -2bccosA
What is velocity?
The rate of change of displacement.
The speed of something in a given direction.
What is displacement and distance?
Displacement (vector) - The direct length from start to finish.
Distance (scalar) - The total path length.
Velocity/time graph formula
s=AreaUnderGraph
Bouncing ball example
- When a ball is bouncing, it constantly changes direction.
- As it moves upwards it has a high initial velocity that slows down to 0 as it reaches maximum height.
- As it travels back down, it starts at 0 but accelerates due to gravity until it hits the ground and changes direction again.
- A v/t graph for a bouncing ball shows motion both above and below the horizontal axis to show the content change in direction.
(Above the horizontal axis = moving upwards)
What is a projectile?
When a projectile is fired, it takes a curved path.
The motion of projectiles consist of two independent components:
- constant horizontal velocity (a=0)
- constant vertical acceleration (caused by gravitational pull).
The vertical velocity t maximum height is 0.
The time taken to reach maximum height from a surface is equal to the time to return from maximum height back to the surface. The time to reach maximum height is half of the total time taken.
Horizontal and vertical velocity components
Vh = vcos(theta)
Vv = vsin(theta)
What is Newton’s first law?
An object will remain stationery or at constant velocity unless acted upon by an unbalanced force.
What is Newton’s second law?
For a change in motion to occur, forces must be involved. This is the idea of acceleration.
What is Newton’s third law?
Is A exerts a force on B, B will exert an equal but opposite force on A.
What is resolution?
Any vector can be resolved into two components at right angles to each other.
Force component calculations
Fh = Fcos(theta)
Fv = Fsin(theta)
What is the resultant number of forces?
A single force which will have the same effect as all the other forces.
Experiment to compare the resultant of two forces
Apparatus: 2 newton balances, elastic bands, one wooden board, white paper and drawing pin
- set up apparatus
- With the elastic pulled to a point, more the values of F1, F2 and trace their direction on paper. Mark the point on the paper.
- Using one spring balance, pull the elastic until the point is reached and note the value required Ft.
- Now combine F1 and F2 with the value of Ft.
What are the forces of weight acting on a slope and how do you calculate them?
If an object is on a slope, its weight acts vertically downwards. The weight can be split into two components at right angles to each other.
Component of weight acting down slope: F = mgsin(theta)
Component of weight perpendicular to slope: F = mgcos(theta)
What is Terminal velocity?
When an object falls towards the earth, it has two vertical forces acting on it, air resistance and weight.
As the object falls, the velocity increases due to the acceleration of gravity.
As the speed increases, so does the air resistance.
Eventually, the two forces will even out and the object will no longer accelerate (balanced forces = constant velocity). This is terminal velocity.
Idea of a parachute
When doing a parachute jump, the parachute is released to increase the surface area and as a result the air resistance increases which slows down the parachute’s to allow them to land safely.
Lift problems
In all lift problems, there will always be a tension in the cable supporting it and a weight, w=mg.
R = reaction force exerted on person by floor = tension
LIFT ACCELERATING UPWARDS
R = m x a - (-w)
LIFT DECELERATES UPWARDS
R = m x (-a) - (-w)
LIFT ACCELERATES DOWNWARDS
R = m x -(a) - (-w)
LIFT DECELERATES DOWNWARDS
R = m x a - (-w)
If the lift is at rest or constant speed, tension = weight
Conservation of energy (What is work done, gravitational potential and kinetic energy?)
Work is done when a force is used to move the objects to a certain distance (energy transfer).
Power is measured in watts (the rate of doing work).
Gravitational potential energy is the energy that an object has due to its position in a force field.
Kinetic energy is the energy possessed due to motion. This is the amount of energy needed to get the object to its travelling velocity and the same amount of energy is required to bring it to rest.
Acceleration causes and increase in kinetic energy.
Energy is measured in joules
The total energy of any closed system is conserved, although the energy may change its form. Energy can’t be created or destroyed.
Using Ep and Ek to find ‘v’
v = /2gh
What is momentum?
Momentum is the measure of the velocity and mass of a moving object.
Elastic collisions, Inelastic collisions, Explosions - Is kinetic energy and momentum conserved?
An elastic collision is when both kinetic energy and momentum are conserved.
An inelastic collision is one where only momentum is conserved. (objects may stick together) (kinetic energy changes to heat and sound so it isn’t conserved).
In an explosion, only momentum is conserved (kinetic energy after is greater than before).
What is impulse and what is it measured in?
An object is accelerated by a force, for a time.
The unbalanced force is given by:
mv-mu/t. ( = impulse)
Impulse = change in momentum
Impulse = force x time
Impulse is measured in Ns.
How to improve experimental results
Repeat readings and use meters with smaller divisions.
Cosine rule and Sine rule
a^ = b^ + c^ - 2bccosA
(use cosine rule when you have 2 sides and an angle or all three sides)
a/sinA = b/sinB = c/sinC
Graphs of motion
CONSTANT VELOCITY GRAPH
- constant increasing displacement
- constant velocity
- constant acceleration = 0
COSTANT ACCELERATION GRAPH
- increasingly increasing displacement
- constant increasing velocity
- constant acceleration
CONSTANT DECELERATION GRAPHS
- decreasingly decreasing displacement
- constants decreasing velocity
- constant deceleration
What is friction?
Friction always acts against the direction of motion (opposes motion). When the applied force and friction is balanced, Newton’s first law tells us that the objects will remain at constant velocity.
What type of force does friction represent?
A negative vector quantity
What factors increase frictional force?
- Velocity
- Surface area
- Contact pressure between surfaces