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Physical Quantity
Property of an object that can be measured
Base units of SI
Metre, kilogram, second, ampere, kelvin, mole, candela
Base unit of length
Metre
Base unit of mass
Kilogram
Base unit of time
Second
Base unit of electric current
Ampere
Base unit of temperature
Kelvin
Base unit of amount of substance
Mole
Base unit of luminous intensity
Candela
Derived units
Units that can be worked out from the base units and equations linking base units together.
Unit of force
Newton
Symbol for Newton
N
Newtons expressed in SI units
kg m s^-2
Unit of pressure
Pascal
Symbol for Pascal
Pa
Pascals expressed in SI units
N m^-2
Unit for energy/work done
Joule
Symbol for Joule
J
Joule expressed in SI units
N m
Unit for power
Watt
Symbol for watt
W
Watt expressed in SI units
J s^-1
Unit for electrical potential difference
Volt
Symbol for volt
V
Volt expressed in SI units
J C^-1
Unit for electrical resistance
Ohm
Ohm expressed in SI units
V A^-1
Unit for electric charge
Coulomb
Symbol for Coulomb
C
Coulomb expressed in SI units
A s
Unit of frequency
Hertz
Symbol for Hertz
Hz
Hertz expressed in SI units
s^-1
How to convert from celsius to kelvin
Add 273
How to convert from kelvin to celsius
Take away 273
How to convert from Fahrenheit to celsius
Subtract 32, multiply by 5, divide by 9
Scalar quantities
Quantities with size but no direction
Examples of scalar quantities
Length, mass, time, speed, temperature, volume, energy, potential difference, power
How to add scalar quantities
Addition?
What must be the case to add/subtract scalar quantities?
Same unit
Difference between adding/subtracting and multiplying/dividing scalar quantities
They don't have to be in the same unit when you are multiplying or dividing.
Vector quantities
Quantities with direction and magnitude
Examples of vector quantities
Displacement, velocity, acceleration, momentum, force
Difference between distance and displacement
Distance is scalar, displacement is vector
Why is the magnitude of displacement always equal to or less than the distance?
Displacement is the direct distance between two points so it is always either less than or equal to the distance.
How is a vector quantity represented pictorially?
A line with a single arrowhead.
How to find the resultant vector from parallel vectors
Add them together
Parallel Vectors
Vectors that act in the same line and direction
How does a resultant force differ from the parallel vectors making it up?
The magnitude will be greater
How is the resultant force the same as the parallel vectors making it up?
Same direction
Antiparallel Vectors
Vectors that act in the same line but in the opposite direction
How to find the resultant force from antiparallel vectors
Make one of them (It doesn't matter) negative and then add them together
Perpendicular Vectors
Vectors that act at right angles to each other
How to find the resultant force of perpendicular vectors
Pythagoras' Theorem
How to find the direction of a resultant force of perpendicular vectors
Use tan (Trigonometry)
Resolving the vector
Splitting it into two perpendicular components
Equation for vertical component of a vector
F x sintheta
Equation for horizontal component of a vector
F x costheta
How to find the resultant force of non-perpendicular vectors
Cosine rule
Cosine rule
a2 = b2 + c2 - 2bccostheta
How to find the direction of the resultant force of non-perpendicular vectors
Sine Rule
Sine rule
a / sinA = b / sinB
How to subtract vectors
Reverse the direction of one of the vectors, making it negative, and add to the other.