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1 Learn your uni course in one day. Check for free video summaries, notes and cheat sheets by top SHEET PHYS1205: Integrated Physics University of Newcastle 1 1D Motion Vector A measurement with both magnitude and direction ( Displacement) Scalar A measurement with only magnitude ( distance) Average Velocity !"#= Instantaneous Velocity !"#$= Average Acceleration !"#= Instantaneous Acceleration !"#$= Final Velocity !"= !"+ ! Final Displacement with Avg. Velocity != !+ 12( !"+ !") Final Displacement with Velocity and Acceleration !

2 = !+ !" +12 ! ! Final Velocity without Time !"!= !"!+2 ! ! ! Objects in Freefall Acceleration is g ( ) 2 Vectors and 2D Motion Vector Addition Tip to Tail Vector Subtraction From the negative to the positive, or add the negative ( = +( )) Vector Multiplication/Division by a Scalar Only magnitude is multiplied or divided. Direction is reversed for negative scalars. Vector Components Length = !!+ !! Direction = tan!! ! ! Unit Vectors: = x + y Projectile Motion Position != !+ ! +12 ! Initial Horizontal Velocity !

3 "= !cos Initial Vertical Velocity !"= !sin Learn your uni course in one day. Check for free video summaries, notes and cheat sheets by top SHEET Uniform Circular Motion Centripetal Acceleration != ! Overall Acceleration | |= !!+ !! Period =2 Relative Velocity !"= !"+ !" 3 Force and Motion Newton s 1st Law - In the absence of external forces, when viewed from an inertial reference frame, an object at rest will remain at rest and an object in motion continues in motion with a constant velocity Newton s 2nd Law - Net Force is the product of Mass and Acceleration = Newton s 3rd Law - If two objects interact, the force that object one is exerting on object 2 is equal and opposite to that object two is exerting on object one !

4 "= !" Equilibrium =0 Friction Kinetic Friction = ! Static Friction ! Circular Motion Dynamics = != ! 4 Work, Energy and Power Scalar/Dot Product = Work Same Direction as Displacement = Different Direction to Displacement = Work by Varying Force !"#= !!!!! Hooke s Law != Kinetic Energy =12 ! Work-Kinetic Energy Theorem = Potential Energy Gravitational = Elastic =12 ! Conservative Force - Work done is independent of the path taken by an object ( Gravity) Non-conservative Force - Work done dependent on the motion of the object ( Friction) Conservation of Energy Mechanical Energy !

5 "#!= + Total Energy !"!= + + !"# Learn your uni course in one day. Check for free video summaries, notes and cheat sheets by top SHEET Non-Conservative Force Absent !"#!=0 Non-Conservative Force Present !"!=0 Power = 5 Momentum Momentum = Impulse Definition = For Constant Force = For Non-Constant Force = . !!!! Collisions Conservation of Momentum (All Collisions) != ! Conservation of KE (Elastic Collisions) != ! Perfectly Inelastic ! !!+ ! !!=( !+ !) ! Perfectly Elastic !

6 !!+ ! !!= ! !!+ ! !! 12 ! !!!+12 ! !!!=12 ! !!!+12 ! !!! 6 Rotation Arc Length = Translational Velocity = Translational Acceleration = Average Angular Velocity !"#= Instantaneous Angular Velocity = Instantaneous Angular Acceleration !"#$= Final Angular Velocity != !+ t Final Angular Displacement != !+ t+ t! Final Angular Velocity without Time !!= !!+ 2 ( ! !) Final Angular Displacement with Avg. Velocity != !+12( !+ !)t Kinetic Energy of Rotation != !2 ! !! Moment of Inertia General = !

7 Sphere =25 ! Cylinder =12 ! Learn your uni course in one day. Check for free video summaries, notes and cheat sheets by top SHEET Disk = ! Parallel Axis Theorem = !" ! Torque Using Radius = Using Perpendicular Distance = Net Torque = and != ! Angular Momentum Angular Momentum = The Conservation of Momentum != ! 7 Waves, Oscillations and SHM Wave Number =2 Wave Equation , = + Speed of Wave on a String = Simple Harmonic Motion General Equation = ( + ) Acceleration !

8 = ! Angular Frequency = Period =2 Frequency = 2 =1 Energy !"#!=12 ! Velocity = ! ! SHM and Circular Motion Uses SHM formulae for each direction of movement SHM and the Pendulum o Period =2 o Physical Pendulum =2 8 Sound and EM Waves Bulk Modulus = / Sound Wave Displacement , = !"#cos ( ) Learn your uni course in one day. Check for free video summaries, notes and cheat sheets by top SHEET Sound Wave Pressure Including Bulk Modulus = !"#sin ( ) Without Bulk Modulus !

9 "#= !"# Density = Speed of Sound Formula = Dependence on Temperature = 3311+ !273 EM Waves Electrical Component = !sin ( ) Magnetic Component = !sin ( ) Intensity of a Sound Wave Per Unit Area = !"#!2 In Three Dimensions !"#4 ! Sound Levels in Decibels =10log ! Doppler Effect = + ! ! Reflection of a Pulse When a pulse hits a fixed boundary, reflection is inverted When a pulse hits a free boundary, reflection is not inverted When a pulse moves from a light to a heavy string the reflected pulse is inverted When a pulse moves from a heavy to a light string, the reflection is not inverted Superposition =2 + 2cos 2 Interference 2 = Standing Waves on a String Formula =2 cos ( ) Amplitude =2 ( ) Nodes = 2 ( =0,1, )

10 Antinodes = 4 =1,3, ) Boundary Conditions on a String != 2 Standing Waves in an Air Column Closed Pipe != 4 ( =1,3, ) Open Pipe != 2 ( =1,2, ) Learn your uni course in one day. Check for free video summaries, notes and cheat sheets by top SHEET End Effects = 2 2 9 Fluids Fluids at Rest Density = Pressure = Pressure in Liquids = !+ Gauge Pressure != 1 Barometers !"#$%= Manometers !"#$%=1 + Archimedes Principle !