Skill — Extract physical information from motion and state graphs.
Appears in chapters
00b·01·02·04
Linked atoms
102 linked atoms.
00 Physical quantities, estimation, equilibrium
00b Experimental method
- Worked example — Bouncing ball (semi-log)
- Worked example — Total bounce time (log-log)
- Power law and the log-log graph
- Exponential law and the semi-log graph
- Problem — Bacteria and the semi-log graph
- Problem — Critiquing the graph, extrapolation
- Problem — Calibration curve
- Problem — Exponent from a log-log graph
- Problem — Linear graph y = kx
- Problem — Law from the pendulum data
- Problem — Which graph do you expect (T vs m)
- Problem — Log-log bounce
- Problem — True or false on graphs
01 Kinematics
- Cyclist with three segments
- Distance from the area of the v-t graph
- Carlo’s journey
- Three-segment motion (s, v, a graphs)
- Problem — Acceleration from the v(t) graph
- Problem — Triangular acceleration pulse
- Problem — Reading the three-phase x(t) graph
- Which x(t) graph
- Estimates from the x(t) graph
02 Forces and Newton’s laws
- Crate with a piecewise force
- Step force and the v–t graph
- Problem — Kinetic friction from the a–F graph
- Problem — The goods lift (scale graph)
- Problem — Hooke’s law from experimental data
04 Energy and work
- The potential energy parabola
- Problem — Block on an inclined plane with a spring (equilibrium and oscillations)
- Problem — Spring constant from a graph
- Problem — Work from a triangular force graph
- Problem — Work done by a spring from a graph
- Problem — Reading the E(x) graph of a pendulum
- Problem — Reading the F(x) graph of a spring
04b Oscillations and simple harmonic motion
- Worked example — Mass, spring and damping
- Problem — From damped oscillation measurements to Q
- Problem — Given the graph, find k
- Problem — Position, velocity and acceleration graphs
- Problem — Reading the damped oscillation graph
- Velocity and acceleration in simple harmonic motion
05 Momentum and collisions
06 Centre of mass
- Two blocks with a spring and the centre-of-mass graph
- Reading the force-time graph
- Reading the centre-of-mass position graph
07 Rotational dynamics
- Problem — Reading a flat L(t) graph
- Problem — Rectangular torque and L(t)
- Problem — Which ω(t) for a braked disc
- Problem — Three regimes of ω(t)
08 Universal gravitation
- Reading a graph: g(r) inside and outside the Earth
- Elliptical orbit — perihelion, aphelion and change in velocity
09 Kinetic theory of gases
- Problem — Expansion at constant pressure
- Problem — Velocity distribution: hydrogen or oxygen
- Problem — Van der Waals isotherm below T_c
- Problem — Isotherm on a logarithmic scale
- Problem — Boyle’s law
10 Irreversible transformations and energy balance
11 Entropy
12 Cycles and heat engines
- The ln P – ln V diagram
- The curve in the P-V plane
- Problem — Area of a p-V cycle
- Problem — Carnot in p-V (adiabatics vs isotherms)
- Problem — Carnot cycle in the ln P – ln V plane
- Problem — Carnot cycle in the T-S plane
- Problem — Rectangular cycle in the p-V plane
- Problem — Drawing a Carnot cycle (engine and fridge)
- Problem — Four cycles in the T-S plane
- Problem — Efficiency of the Otto cycle
- Summary table of transformations
13 Coulomb force and electrostatics
15 Electric circuits
- Problem — characteristic of a real battery
- Problem — V-I characteristic
- Problem — reading Ohm’s law from a graph
- Problem — which graph for an RC circuit
- Problem — discharge of a capacitor
16 Waves
- Amplitude in time and space
- Beats of two close frequencies
- Problem — Reading lambda and T from a wave graph
- Problem — Recognising the third normal mode
17 The magnetic field
18 Electromagnetic induction
- Phasors and graphs in the two cases
- Self-induction graphs
- Reading the exponential RL graph
- Problem — RL current on closing and opening
- Problem — E(t) for a moving loop
19 Maxwell’s equations and electromagnetic waves
21 Introduction to quantum mechanics
- Double slit, which intensity graph
- Hydrogen levels, Balmer and Lyman
- Problem — Black body at different temperatures
- Problem — Hydrogen levels shown as horizontal lines
- Deriving h and W from the photoelectric graph