Coaching Centre
Chapter 5: Advanced Mechanics Notes
HSC Physics Module 5: projectile motion and its derivations, the projectile practical, uniform circular motion, banked tracks and vertical loops, work and torque in rotating systems, gravitational fields, satellites and orbits, Kepler's laws, gravitational potential energy and escape velocity.
Sections
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5A Projectile motion Mastered
What a projectile is, the assumptions of the projectile model, resolving the launch velocity into components, why horizontal and vertical motion are independent, and solving horizontal-launch and angled-launch problems with the HSC equations.
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5B Deriving the projectile equations Mastered
Deriving time of flight, maximum height and range from the HSC equations, why 45° gives the greatest range, complementary launch angles, launching from a height, final velocity, and how air resistance and spin change real trajectories.
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5C Investigating projectile motion Mastered
The mandatory projectile-motion practical: rolling a ball off a bench, measuring with carbon paper, video or strobe photography, linearising data to find g, and evaluating validity, reliability and accuracy.
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5D Uniform circular motion Mastered
Why an object moving in a circle at constant speed is accelerating, angular velocity, period, centripetal acceleration and force, what actually provides the centripetal force, and the whirling-stopper investigation.
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5E Banked tracks and vertical loops Mastered
Cars on flat and banked curves, deriving the design speed of a banked track, the role of friction above and below the design speed, conical pendulums, and the forces on a rider in a vertical loop.
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5F Work, energy and torque in circular motion Mastered
Why centripetal force does no work, energy in vertical circles, torque as the turning effect of a force, τ = r⊥F = rF sin θ, and balancing torques.
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5G Gravitational fields Mastered
Newton's law of universal gravitation, gravitational field strength g = GM/r², field-line diagrams, the inverse square law, how g varies over Earth and with altitude, and measuring gravity from orbit.
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5H Satellites and orbits Mastered
Newton's cannon, deriving orbital velocity and period from gravity as the centripetal force, low Earth orbits and geostationary orbits, apparent weightlessness, and orbital decay.
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5I Kepler's laws of planetary motion Mastered
Kepler's three laws, elliptical orbits and eccentricity, why planets speed up near the Sun, deriving Kepler's third law from Newton's law of gravitation, and using it to find the mass of a planet or star.
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5J Energy in gravitational fields Mastered
Gravitational potential energy U = −GMm/r and why it is negative, the total energy of an orbiting satellite, energy changes when a satellite changes orbit, and escape velocity.
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5K Advanced mechanics review Mastered
A summary of Module 5 Advanced Mechanics, the key equations and how they connect, key words, and a mixed test covering projectile motion, circular motion, torque, gravitational fields, orbits, Kepler's laws and gravitational energy.