Concept — Constant sum of kinetic and potential energy in the absence of dissipation.
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04·04b·08
Linked atoms
61 linked atoms.
03 Inclined plane and circular motion
04 Energy and work
- Thermal equilibrium
- Worked example — minimum height for the loop
- Worked example — block on an inclined plane with spring and friction
- Worked example — apple and spring
- The loop of death: an energy approach
- The general theorem of energy balance
- Joule and the mechanical equivalent of heat
- Energy as a silent bookkeeper
- Energy: a currency that is conserved
- The potential-energy parabola
- The energy table
- Problem — Water and oil at different temperatures
- Problem — Block on an inclined plane with a spring (equilibrium and oscillations)
- Problem — Block on a smooth inclined plane
- Problem — Cart on a smooth track
- Problem — Conservation of energy with friction
- Problem — The ball descending on three tracks
- Problem — Two springs and a box
- Problem — Fantaphysics without energy conservation
- Problem — Stevin’s necklace
- Problem — Work done by the cyclist going uphill
- Problem — Reading the E(x) graph of a pendulum
- Problem — Loop of death
- Problem — Spring compressed by a block
- Problem — Ball, spring, friction and flight (4 states)
- Problem — Ball launched by a spring
- Problem — Ballistic pendulum
- Problem — Why the pendulum stops
- Problem — Vertical projectile with drag
- Problem — Volcanic rock in Fantaphysics
- Problem — Bungee jump
- Problem — Monkey and weight on a pulley
- Problem — Synthesis: inclined plane and spring
- Problem — Speed of a pendulum
- Problem — Speed of a falling stone
- Problem — Minimum speed in the loop of death
- Multi-state problems
04b Oscillations and simple harmonic motion
- Energy in the harmonic oscillator
- Worked example — vertical spring with energy balance
- Worked example — finding A and φ from initial conditions
- Worked example — maximum speed from energy
- Problem — From the amplitude to k
- Problem — Energy and amplitude
- Problem — Simple harmonic oscillator (250 g)
06 Centre of mass
07 Rotational dynamics
- Rolling bodies
- Worked example — sphere rolling down a plane
- Problem — Hinged rod falling from horizontal
- Problem — Rolling sphere, speed at the base
08 Universal gravitation
- Classification of orbits
- Derivation of escape velocity
- Worked example: two asteroids falling towards each other
- Worked example: satellite, aphelion and perihelion
- Escaping the Solar System
- Maximum and minimum distance from the central body
- Escape velocity
- Escape velocity from the Earth (energy)
- Speed of a comet at perihelion
- True or false on energy and orbits