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SI Unit For Distance
Metres (m)
SI Unit For Time
Seconds (s)
SI Unit For Mass
Kilograms (kg)
SI Unit For Current
Amperes (A)
SI Unit For Amount of Substance
Moles (mol)
SI Unit For Temperature
Kelvin (K)
SI Unit for Luminous Intensity
Candelas (cd)
Kilo (k) value
10^3
How to convert to kilo
Divide by 10^3
Mega (M) value
10^6
How to convert to mega
Divide by 10^6
Giga (G) value
10^9
How to convert to giga
Divide by 10^9
Tera (T) value
10^12
How to convert to tera
Divide by 10^12
Peta (P) value
10^15
How to convert to peta
Divide by 10^15
Milli (m) value
10^-3
How to convert to milli
Multiply by 10^3
Micro (µ) value
10^-6
How to convert to micro
Multiply by 10^6
Nano (n) value
10^-9
How to convert to nano
Multiply by 10^9
Pico (p) value
10^-12
How to convert to pico
Multiply by 10^12
Femto (f) value
10^-15
How to convert to femto
Multiply by 10^15
Define uncertainty
Estimate of difference between reading & true value of measured quantity. Estimate of spread of values around measured quantity where true value will be found
Define absolute uncertainty
Possible difference from true value given as fixed number in measurement's units
Percentage uncertainty
Possible difference from true value given as percentage of measurement
When adding/subtracting measurements…
…add absolute uncertainties
When multiplying/dividing measurements…
…add percentage uncertainties
When raising measurements to a power…
…multiply percentage uncertainty by power
Define random error
Error which causes reading to vary around mean value unpredictably between readings
Define systematic error
Error that causes readings to differ from true value by consistent amounts
Define zero error
Error where measuring instrument reads non-zero output when there is no input
Define accuracy
How close a measured quantity is to true value
Define precision
The smallest change in value measured by instrument/operator. How close measurements are to one another.
Define displacement
Change in position of an object
Define velocity
Speed in a given direction
Define acceleration
Rate of change of velocity
Velocity equation
v = Δs/Δt
Acceleration equation
a = Δv/Δt
Shape of displacement-time graphs for constant velocity, constant acceleration and increasing acceleration
Constant velocity: Straight diagonal line
Constant acceleration: Gradually curving line
Increasing acceleration: Steeply curving line
Shape of velocity-time graphs for constant velocity, constant acceleration and increasing acceleration
Constant velocity: Straight horizontal line
Constant acceleration: Straight diagonal line
Increasing acceleration: Gradually curving line
Shape of acceleration-time graphs for constant velocity, constant acceleration and increasing acceleration
Constant velocity: Empty graph
Constant acceleration: Straight horizontal line
Increasing acceleration: Straight diagonal line
How to find velocity from displacement-time graph
Calculate the gradient
How to find displacement from velocity-time graph
Find area under the graph
How to find acceleration from velocity-time graph
Calculate the gradient
How to find change in velocity from acceleration-time graph
Find area under the graph
Deriving v = u + at
Gradient of velocity-time graph = acceleration = Δy/Δx = Δv/Δt
a = v-u/t
at = v - u
v = u + at
Deriving s = 1/2(u+v)t
Average velocity = u+v/2
s = vt
s = 1/2(u+v)t
s = ut + 1/2at^2
v = u + at
s = 1/2(u+v)t
s = 1/2(u+u+at)t
s = 2ut/2 + at^2/2
s = ut + 1/2at^2
Deriving v^2 = u^2 + 2as
v = u + at
t = v - u/a
s = v + u/2 x t
s = v + u/2 x v - u/a
s = v^2 - u^2/2a
2as = v^2 - u^2
v^2 = u^2 + 2as
Linear Momentum
Product of an object's mass and velocity, with its direction always being the same as the direction of velocity
Law of Conservation of Momentum
Total momentum of an isolated system of interacting bodies remains constant, provided there are no resultant external forces e.g. friction
Force
Rate of change of momentum
Impulse
The product of a force and the time during which the force is applied
Mass
A measure of inertia of a body. The property of a body that resists change in motion
Weight
The force due to a gravitational field
What is conserved in an inelastic collision?
Total momentum of a system is conserved, but the total kinetic energy is not conserved. Speed before impact is not equal to speed after impact
What is conserved in an elastic collision?
Total momentum and total kinetic energy of a system is conserved. Relative speed of approach is equal to the relative speed of separation
Newton's 1st Law
A body remains at rest or constant velocity unless acted on by a resultant force
Newton's 2nd Law
The resultant force is proportional to the rate of change of momentum
Newton's Third Law
If one body exerts a force on another, it will experience a force by the other body, which is equal in magnitude and opposite in direction. Both forces are of the same kind
Centre of Gravity
The point on an object at which the entire weight of the body seemingly acts
Equilibrium
Net/resultant force and moment is zero
Moment/Torque
Product of the force and the perpendicular distance to the pivot
Principle of Moments
Sum of clockwise moments about a point equals sum of anticlockwise moments about the same point
Torque of a Couple
Product of one of the forces and perpendicular distance between forces
Pressure
The perpendicular/normal force applied per unit area
Density
Amount of mass per unit volume of a substance
Upthrust
The resultant force on a submerged object due to pressure difference between the higher pressure at the bottom of the object and the lower pressure at the top of the object immersed in a fluid
Energy
The stored ability to do work
Work Done
Product of a force and the distance moved in the direction of the force
Power
Rate of work done
Efficiency
The fraction of the useful power output obtained from the total power input
Conservation of Energy
Energy cannot be created or destroyed
it may transform into other forms but the total amount of energy stays constant
Gravitational Potential Energy
Energy stored due to height/position of mass in a gravitational field
Kinetic Energy
Energy of an object due to its motion
Potential Energy
Energy stored by an object to do work
Elastic Potential Energy
Energy stored due to deformation or change in shape of an object
Stress
Force per unit cross-sectional area required to stretch a material
Strain
Extension over original length. Ratio of extension to original length.
Young's Modulus
Ratio of stress to strain
Hooke's Law
Force is proportional to extension/compression if limit of proportionality is not exceeded
Ultimate Tensile Strength
The maximum force per original cross-sectional area the object is able to support before it breaks
Ultimate Tensile Stress
The maximum value of stress that an object can sustain before it breaks
Limit of Proportionality
The point beyond which Hooke's Law is no longer obeyed
Elastic Limit
The point beyond which an object will not return to its original length when the force is removed
Brittle Materials
Materials which do not undergo plastic deformation. Force is proportional to extension until it breaks
Ductile Materials
Materials which undergo plastic deformation after a considerable elastic deformation. Initially force is proportional to extension then a large extension for small change in force
Elastic Deformation
Object returns to its original length when load is removed
Plastic Deformation
Object does not return to original shape/length when load is removed
Force-Extension Graph
The area under the graph is work done in stretching a material. For the straight-line portion of the graph, it is a measure of the elastic potential/strain energy stored by the material, if the graph for decreasing loads is the same as that for increasing loads.
Progressive Wave
The transfer or propagation of energy as a result of oscillations/vibrations
Wavelength
Distance moved by wave energy/wavefront during one cycle of the source. Minimum distance between two points with same phase/adjacent crests/troughs
Frequency
Number of oscillations per unit time
Period
The time taken to complete one oscillation/cycle. The time between adjacent wavefronts