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.
6 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.
6 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.
6 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.
6 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.
6 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.
7 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.
6 min answer →