§-Module

Module 5: Advanced Mechanics

8 dot points across 3 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

Inquiry Question 3: How does the force of gravity determine the motion of planets and satellites?

Apply the concepts of gravitational potential energy and kinetic energy to determine the total energy of a planet or satellite in its orbit, and the energy changes that occur when satellites move between orbits

A focused answer to the HSC Physics Module 5 dot point on energy in orbits. Total mechanical energy E = -G M m / (2r), the K and U relationship in circular orbits, energy changes during orbit transfers, and the worked Hohmann-style example.

14 min answer →

Derive and apply the concept of gravitational potential energy in a radial gravitational field, U = -G M m / r, including the concept of escape velocity

A focused answer to the HSC Physics Module 5 dot point on gravitational potential energy in radial fields. Why U is negative, how it differs from the mgh approximation, the derivation of escape velocity, and the standard worked example using Earth.

14 min answer →

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 v = 2 pi r / T and T^2 / r^3 = 4 pi^2 / (G M)

A focused answer to the HSC Physics Module 5 dot point on Kepler's three laws. Elliptical orbits, equal areas in equal times, the period-radius relationship, the derivation from Newton's laws, and the worked geostationary-satellite example.

14 min answer →

Apply qualitatively and quantitatively Newton's Law of Universal Gravitation, F = G m_1 m_2 / r^2, to determine the magnitude of force, gravitational field strength g = G M / r^2, and acceleration due to gravity at different points in a radial gravitational field

A focused answer to the HSC Physics Module 5 dot point on Newton's Law of Universal Gravitation. The inverse-square law, gravitational field strength, calculating g at different altitudes, and the worked surface-gravity example.

14 min answer →

Predict quantitatively the orbital properties of planets and artificial satellites in a variety of situations, including near-Earth and geostationary orbits, using the relationship between orbital speed, radius, and period

A focused answer to the HSC Physics Module 5 dot point on orbital motion of artificial satellites. The derivation of orbital speed from gravity-as-centripetal-force, low Earth and geostationary orbits, the worked LEO example, and the patterns markers look for.

14 min answer →

Inquiry Question 2: Why do objects move in circles?

Investigate the relationship between the forces acting on objects in non-uniform circular motion (banked tracks, conical pendulums, vertical circles) and apply the relationship tau = r F sin theta for torque

A focused answer to the HSC Physics Module 5 dot point on non-uniform circular motion. Banked tracks, the conical pendulum, vertical loops, the role of torque, and the worked banking-angle calculation that markers expect.

14 min answer →

Conduct investigations to explain and evaluate, for objects executing uniform circular motion, the relationships that exist between centripetal force, mass, speed and radius, and solve problems using the relationships a_c = v^2 / r, v = 2 pi r / T, F_c = m v^2 / r and omega = delta theta / delta t

A focused answer to the HSC Physics Module 5 dot point on uniform circular motion. Centripetal acceleration and force, the link between period, speed and radius, the standard worked car-on-a-bend example, and the conceptual traps about what provides the centripetal force.

14 min answer →

Inquiry Question 1: How can models that are used to explain projectile motion be used to analyse and make predictions?

Analyse the motion of projectiles by resolving the motion into horizontal and vertical components, making the following assumptions: a constant vertical acceleration due to gravity, zero air resistance

A focused answer to the HSC Physics Module 5 dot point on projectile motion. Resolving velocity into components, applying SUVAT to each axis independently, the standard worked range and maximum height example, and the traps markers look for.

14 min answer →