Physics

01 Physical Quantities, Units and Measurement

02 Kinematics

03 Dynamics

04 Mass, Weight and Density

05 Turning Effect of Forces

06 Pressure

07 Energy, Work and Power

08 Kinetic Model of Matter

09 Transfer of Thermal Energy

10 Temperature

11 Thermal Properties of Matter

12 General Wave Properties

Seven Basic Physical Quantities

Time (s)

  • Mass (kg)
  • Temperature (K)
  • Electric current (A)
  • Amount of substance (mol)
  • Luminous intensity (cd)

Length (m)

Instrument

Vernier Callipers

Micrometer Screw Gauge

Metre Ruler

Tape Measure

1mm

1mm

0.1mm

0.01mm

Can be measured using

  • Pendulums
  • Clocks
  • Stopwatches

Periodic motions called oscillations

Scalar Quantities

Vector Quantities

Magnitude

Distance (m)

Speed (m/s)

Speed = Distance / Time
Average Speed = Total Distance / Total time

Magnitude + Direction

Displacement (m)

Velocity (m s^-1)

Acceleration (m s^-2)

Area under Velocity Time graph is displacement

Velocity = displacement/time
Gradient of D/T graph is velocity

Acceleration due to gravity approx 10m/s^2

when resistive forces are equivalent to acceleration due to gravity during free fall, since net force is 0 terminal velocity is reached

Forces (N)

Newtons laws

Newton's 2nd Law

Newton's 3rd Law

Newton's 1st Law

For every action in nature there is an equal and opposite reaction (Action-Reaction pairs)

An object at rest will remain at rest, an object in motion will stay in motion at constant speed in in a straight line in the absence of resultant force acting on it.

F = ma (Force = Mass x Acceleration)

Contact Forces

Non-Contact Forces

Friction

Normal Reaction Force

Tension

Gravitational Force

Electric Force

Magnetic Force

Mass (kg)

  • Amount of substance in a body
  • Inertia

Is related to

Weight (N)

Density (kg m^-3)

Mass per unit volume

The gravitational force acting upon the object

Gravitational field strength:


Definition: Region where a mass experiences a force due to gravitational attraction
Unit: Gravitational field strength (g) is measured in newtons per kilogram (N/kg).

W = m x g (Weight = mass x gravitational field(On Earth is 10N/kg))

P = m / v (Pressure = mass divided by volume)

Moment of a force (N m)

Turning Effect of a Force

Moment = Force x Perpendicular Distance

Clockwise

Anticlockwise

Principle of Moments
Sum of clockwise moments about a pivot = Sum of anticlockwise moments about the same pivot

Stability of an object

Centre of gravity

Base Area

Pressure (Pa)

Pressure in gases

Pressure in liquids

Atmospheric Pressure

Is defined as Force acting per unit area
p = F/A(Pressure over Area)
where
p = pressure (Pa or N m^-2)
F = force (N)
A = area (m2)

Manometer

Mercury Barometer

Measuring the height of the mercury column above the surface of the mercury in the trough

Pressure difference

Measuring the height difference between liquid columns

Transmitted equally throughout an enclosed liquid

Pressure p = hpg
where
h = height of liquid column (m)
p = density of liquid (kg m^-3)
g= gravitational field strength (N kg^-1)

applied in Hydraulic machines

for example

Hydraulic press

Car hydraulic disc

brake system

Energy (J)

is the capacity to do Work (J)

The Principle of Conservation of Energy

Energy cannot be created or destroyed, but can be converted from one form to another. Types of energy are

Kinetic Energy (0.5mv^2)

Potential Energy

Nuclear Energy

Gravitational Potential Energy (mgh(mass x gravitational field x height))

Thermal Energy

Chemical Potential Energy

Electrical Energy

Elastic Potential Energy

Light Energy

Efficiency can be equated as
Efficiency = useful energy output / total energy output * 100%

Related to Power

Matter is made of tiny particles (atoms or molecules) that are in continuous, random motion.

explains the properties of

Brownian motion

Increase in temperature results in particles having higher kinetic energy (i.e. particles move faster).

Solid

Liquid

Gas (No Fixed shape, No Fixed volume, Compressible, Low Density)

Gas Pressure is due to the collision of gas particles with the walls of the container.

is directly proportional to Temperature

is directly proportional to Volume

Is inversely Proportional to Volume

Shape: Fixed shape
Volume: Fixed volume
Compressibility: Incompressible
Density: High Density
Intermolecular force(IMF): Very strong
Separation of particles: Very close together
Arrangement: Regular
Motion: Vibrate about fixed positions

Shape: No Fixed shape
Volume: Fixed volume
Compressibility: Incompressible
Density: High Density
Intermolecular force(IMF): Strong
Separation of particles: Close together
Arrangement: Irregular
Motion: Slide over one another

Shape: No Fixed shape
Volume: No Fixed volume
Compressibility: Compressible
Density: Low Density
Intermolecular force(IMF): Very weak
Separation of particles: Far apart
Arrangement: Irregular
Motion: Move in all directions

The greater the temperature, the greater the motion of molecules (Temperature increase, kinetic energy increase, force per collision increase, frequency per collision increase, pressure increase)

A change in pressure of a fixed mass of gas at constant volume is caused by a change in temperature of the gas / A change in volume occupied by a fixed mass of gas at constant pressure is caused by a change in the temperature of the gas / a change in pressure of a fixed mass of gas at constant temperature is caused by a change in volume of the gas

Temperature increase, kinetic energy increase, force per collision increase, frequency per collision increase, pressure increase

volume of container increase, number of gas particles per unit volume decrease, frequency of gas particles colliding decrease, pressure decrease

Temperature increase, kinetic energy increase, force per collision increase, volume of container increase, number of gas particles per unit volume decrease, frequency of gas particles colliding with the inner walls of the container decrease, pressure remains constant

(a) Gas particles move about randomly, continuously and in all directions
(b) They collide with the inner walls of the container and exert a force on them.
(c) The average force exerted per unit area is the gas pressure.
(d) The frequency of collisions also affect the overall gas pressure exerted.

infer from a Brownian motion experiment the evidence for the movement of particles

Particles like dust move in continuous random motion under observation

The dust particles are suspended within a medium, where the air molecules cannot be seen by the naked eye. The collision of the dust particle and the molecules of the medium is what is inferred to be why the dust particle move continuously and randomly

since these particles like dust are suspended within a medium like air, it can be inferred that are moving continuously and randomly, and collide with the dust particle

Conduction

Convection

Radiation

Introduction

The kinetic model of matter states that particles vibrate, translate (move from one location to another) and even rotate (evolve about an imaginary axis). These motions give the particles kinetic energy.

Temperature is a measure of the average amount of kinetic energy possessed by the particles in a sample of matter. The more the particles vibrate, translate and rotate, the greater the temperature of the object

Temperature

Temperature is a measure of the average amount of kinetic energy possessed by the particles in a sample of matter

Atomic/Molecular vibration

Free electron diffusion

Particles at the heated end gain kinetic energy and vibrate vigorously. They collide with neighbouring particles, causing them to vibrate more vigorously as well. This process continues until the particles at the cooler end are also set into vigorous vibration

In metals, thermal energy is also transferred through the process of electron diffusion
Electrons at the heated end gain kinetic energy and move more rapidly
They collide atoms in the cooler parts of the metal and transfer their kinetic energy in the process
This continues until the particles at the cooler end are also set into vigorous vibration

Radiation is the transfer of thermal energy in the form of electromagnetic waves (e.g. infrared radiation) without the aid of a medium (can travel through vacuum) All bodies emit infrared radiation. Infrared radiation does not require a medium to be transmitted.

Factors

Surface Area

Surface Temperature

Colour and Texture

Bright and Shiny surfaces are greater emitters of thermal radiation

Dark and Dull surfaces are poorer emitters of thermal radiation

A greater surface area results in a high rate of absorption or emission of thermal radiation

A higher temperature relative to its surrounding temperature results in a higher rate of emission of thermal radiation

A lower temperature relative to its surrounding temperature results in a higher rate of absorption of thermal radiation

When the water at the bottom of the flask is heated, it expands, becomes less dense than the surrounding water and rises. The upper region of water is cooler, denser, and sinks to the bottom of the flask. The process repeats and sets up a convection current due to the difference in the densities of water in the different regions.

Temperature (K)

Measured with thermometers

Thermometric Substances

Temperature Scales

Types of thermometers

Liquid-in-glass thermometer
Resistance thermometer
Thermocouple thermometer

Physical properties that vary continuously and linearly with temperature
Lower and upper fixed points e.g. ice point (0 C, steam point (100° C)

Celsius scale Screenshot 2022-09-25 at 6.03.13 PM

Thermometric properties

Mercury in glass thermometer / alcohol in glass thermometer

Thermocouple thermometer

Resistance Thermometer

Constant volume gas thermometer

Volume of a fixed mass of liquid

Electrical resistance of a piece of metal

Pressure of a fixed mass of gas at constant volume

Electrical voltage or electromotive force (e.m.f.)

Kelvin to Celsius

K = ºC + 273

Internal energy

Internal Potential Energy

Internal Kinetic Energy

as molecules vibrate/move around a substance motion is produced, and is relative to the temperature of the object → temperature is a measure of the average internal kinetic energy of its particles

comes from the intermolecular forces between particles in an object and is dependent on the strength of the intermolecular forces, and how far apart the particles are separated.

Heat Capacity

s the amount of thermal energy needed to increase the temperature of a substance by 1K or 1C° It uses the SI unit Joule per kelvin (J/K).

Q=CΔθ,
where Q = thermal energy absorbed or released by object (J)
C = Heat Capacity Δθ = Change in temperature (K or C°)

Specific Heat Capacity

is the amount of thermal energy needed to increase the temperature of a unit mass by 1K or 1C°. It uses the SI unit joule per kilogram per kelvin (J/(kg/K))

Q = mcΔθ,
where Q = thermal energy absorbed or released by object (J)
m = Mass of substance (kg)
c = Specific Heat Capacity (J/(kg/K))
Δθ = Change in temperature (K or C°)

Type of Waves

Transverse

Longitudinal

Sound Waves

Electromagnetic

Rope

Water

Ripple Tank

Used to demonstrate basic properties of waves.
Ripples are generated by a vibrating dipper.

Wavefront

A wavefront joins all points on a wave that are in the same phase, and is perpendicular to the direction of motion.

Parts of a wave

Crest

Troughs

Centre of Compressions

Centre of Rarefactions

Amplitude, A

Wavelength, λ

Phase

Period, T

Frequency, f

Highest point on Transverse Wave

Lowest point on Transverse Wave

Centre of region in Longitudinal Wave where Particles are Closest to each other.

Centre of region in Longitudinal Wave where Particles are Furthest Apart.

Maximum Displacement of a point from its rest position.

Shortest Distance between any 2 points in phase.

Points are in same phase if they have the same speed,
direction of travel and displacement from their rest position

Time Taken for a complete wave

Number of complete waves per unit time.

Formulas

Frequency

F = 1/T

Speed of wave

v = f λ

angle of incidence = angle of refraction

Travelling through medium

Deep water <-> shallow water
Water waves travel faster in deep than shallow water.
Frequency remains unchanged
Wavelength decreases
Wave bends towards normal