Module 5: Advanced Mechanics

analyse the motion of projectiles by resolving the motion into horizontal and vertical components, making the following assumptions:

taught and practised · 5 questions · Projectile Motion

• a constant vertical acceleration due to gravity

  taught and practised · 3 questions · Projectile Motion

• zero air resistance

  taught and practised · 2 questions · Projectile Motion

apply the modelling of projectile motion to quantitatively derive the relationships between the following variables:

taught and practised · 2 questions · Projectile Motion

• initial velocity

  taught and practised · 2 questions · Projectile Motion

• launch angle

  taught and practised · 3 questions · Projectile Motion

• maximum height

  taught and practised · 1 questions · Projectile Motion

• time of flight

  taught and practised · 2 questions · Projectile Motion

• final velocity

  taught and practised · 1 questions · Projectile Motion

• launch height

  taught and practised · 2 questions · Projectile Motion

• horizontal range of the projectile (ACSPH099)ACSPH099

  taught and practised · 3 questions · Projectile Motion

conduct a practical investigation to collect primary data in order to validate the relationships derived above.

taught and practised · 2 questions · Projectile Motion

solve problems, create models and make quantitative predictions by applying the equations of motion relationships for uniformly accelerated and constant rectilinear motion

taught and practised · 3 questions · Projectile Motion

conduct investigations to explain and evaluate, for objects executing uniform circular motion, the relationships that exist between:

taught and practised · 3 questions · Circular Motion

• centripetal force

  taught and practised · 2 questions · Circular Motion

• mass

  taught and practised · 1 questions · Circular Motion

• speed

  taught and practised · 2 questions · Circular Motion

• radius

  taught and practised · 2 questions · Circular Motion

analyse the forces acting on an object executing uniform circular motion in a variety of situations, for example:

taught and practised · 6 questions · Circular Motion

• cars moving around horizontal circular bends

  taught and practised · 2 questions · Circular Motion

• a mass on a string

  taught and practised · 2 questions · Circular Motion

• objects on banked tracks (ACSPH100)ACSPH100

  taught and practised · 2 questions · Circular Motion

solve problems, model and make quantitative predictions about objects executing uniform circular motion in a variety of situations, using the following relationships:

taught and practised · 5 questions · Circular Motion

• $a_{\mathrm{c}}=\frac{v^2}{r}$

  taught and practised · 1 questions · Circular Motion

• $v=\frac{2\pi r}{T}$

  taught and practised · 1 questions · Circular Motion

• $F_{\mathrm{c}}=\frac{m{v}^2}{r}$

  taught and practised · 3 questions · Circular Motion

• $\omega =\frac{\Delta \theta }{t}$

  taught and practised · 1 questions · Circular Motion

investigate the relationship between the total energy and work done on an object executing uniform circular motion

taught and practised · 2 questions · Circular Motion

investigate the relationship between the rotation of mechanical systems and the applied torque

taught and practised · 2 questions · Circular Motion

• $\tau =r_{\perp }F=rF\sin \theta$

  taught and practised · 2 questions · Circular Motion

apply qualitatively and quantitatively Newton’s Law of Universal Gravitation to:

taught and practised · 5 questions · Motion in Gravitational Fields

• determine the force of gravity between two objects $F=\frac{GMm}{r^2}$

  taught and practised · 2 questions · Motion in Gravitational Fields

• investigate the factors that affect the gravitational field strength $g=\frac{GM}{r^2}$

  taught and practised · 2 questions · Motion in Gravitational Fields

• predict the gravitational field strength at any point in a gravitational field, including at the surface of a planet (ACSPH094, ACSPH095, ACSPH097)ACSPH094 ACSPH095 ACSPH097

  taught and practised · 3 questions · Motion in Gravitational Fields

investigate the orbital motion of planets and artificial satellites when applying the relationships between the following quantities:

taught and practised · 3 questions · Motion in Gravitational Fields

• gravitational force

  taught and practised · 2 questions · Motion in Gravitational Fields

• centripetal force

  taught and practised · 2 questions · Motion in Gravitational Fields

• centripetal acceleration

  taught and practised · 1 questions · Motion in Gravitational Fields

• mass

  taught and practised · 2 questions · Motion in Gravitational Fields

• orbital radius

  taught and practised · 2 questions · Motion in Gravitational Fields

• orbital velocity

  taught and practised · 3 questions · Motion in Gravitational Fields

• orbital period

  taught and practised · 4 questions · Motion in Gravitational Fields

predict quantitatively the orbital properties of planets and satellites in a variety of situations, including near the Earth and geostationary orbits, and relate these to their uses (ACSPH101)ACSPH101

taught and practised · 3 questions · Motion in Gravitational Fields

investigate the relationship of Kepler’s Laws of Planetary Motion to the forces acting on, and the total energy of, planets in circular and non-circular orbits using: (ACSPH101)ACSPH101

taught and practised · 3 questions · Motion in Gravitational Fields

• $v=\frac{2\pi r}{T}$

  taught and practised · 1 questions · Motion in Gravitational Fields

• $\frac{r^3}{T^2}=\frac{GM}{4{\pi }^2}$

  taught and practised · 3 questions · Motion in Gravitational Fields

derive quantitatively and apply the concepts of gravitational force and gravitational potential energy in radial gravitational fields to a variety of situations, including but not limited to:

taught and practised · 5 questions · Motion in Gravitational Fields

• the concept of escape velocity $v_{\mathrm{esc}}=\sqrt{\frac{2GM}{r}}$

  taught and practised · 1 questions · Motion in Gravitational Fields

• total potential energy of a planet or satellite in its orbit $\mathrm{U}=-\frac{GMm}{r}$

  taught and practised · 2 questions · Motion in Gravitational Fields

• total energy of a planet or satellite in its orbit $\mathrm{U}+\mathrm{K}=-\frac{GMm}{2r}$

  taught and practised · 2 questions · Motion in Gravitational Fields

• energy changes that occur when satellites move between orbits (ACSPH096)ACSPH096

  taught and practised · 2 questions · Motion in Gravitational Fields

• Kepler’s Laws of Planetary Motion (ACSPH101)ACSPH101

  taught and practised · 1 questions · Motion in Gravitational Fields