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Physics
The physics problems listed below adapt material from Savchenko Solutions. StemOverflow revised wording, assumptions and reference explanations. These adapted problem materials are available under Creative Commons Attribution-ShareAlike 4.0 International. This licence applies to those materials, not to learners’ private work or the whole website.
Original source pages may include worked solutions.
Speed hidden in a blurred photograph
Adapted from O. Y. Savchenko, Problems in Physics, problem 1.1.1; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
Can you lift yourself by your own hair?
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.1.1; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
Floating in water versus floating in orbit
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.1.10; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
Three microphones hear one explosion
Adapted from O. Y. Savchenko, Problems in Physics, problem 1.1.5; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A fast particle that drifts slowly
Adapted from O. Y. Savchenko, Problems in Physics, problem 1.2.1; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
When does a projectile point that way?
Adapted from O. Y. Savchenko, Problems in Physics, problem 1.3.5; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A one-second pendulum
Adapted from O. Y. Savchenko, Problems in Physics, problem 3.2.5; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A ball sealing a pressure opening
Adapted from Savchenko, Problems in Physics, problem 4.1.5; English community presentation at Savchenko Solutions. Source contributor: astrosander; editor: Anonymous. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
The evaporating hemispherical bowl
Adapted from O. Y. Savchenko, Problems in Physics, problem 1.2.10; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A return trip around a vertical cylinder
Adapted from O. Y. Savchenko, Problems in Physics, problem 1.3.15; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A block and the board beneath it
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.1.30; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A rocket stage falls behind
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.2.10; English presentation and community solution by Valter and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
Choosing a bow for the archer
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.3.10; English presentation and community solution by Valter and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
The spring releases the same energy—why different gains?
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.4.15; English presentation and community solution by Ismail, with edits by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
An oblique elastic collision
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.5.10; English presentation and community solution by igor, with edits by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
Weighing Mars with Phobos
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.6.10; English presentation and community solution by IVA and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A falling mass turns a cylinder
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.7.15; English presentation and community solution by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
A hoop held by two pins
Adapted from O. Y. Savchenko, Problems in Physics, problem 2.8.10; English presentation and community solution by Nurbaqyt, with edits by astrosander and Savchenko Solutions contributors. StemOverflow rewrote the statement and independently derived the reference explanation.
Across the bottom of a trough
Adapted from Savchenko, Problems in Physics, problem 3.3.10; English community presentation at Savchenko Solutions. Source contributor: astrosander. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
What force accounts for the lost energy?
Adapted from Savchenko, Problems in Physics, problem 3.5.10; English community presentation at Savchenko Solutions. Source contributor: Pandemotor. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Where does a loaded rod stretch?
Adapted from Savchenko, Problems in Physics, problem 3.6.5; English community presentation at Savchenko Solutions. Source contributor: differ4ik. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
The tension beneath a fishing float
Adapted from Savchenko, Problems in Physics, problem 4.2.10; English community presentation at Savchenko Solutions. Source contributor: Valter. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Pressure in a draining tank and tube
Adapted from Savchenko, Problems in Physics, problem 4.3.5; English community presentation at Savchenko Solutions. Source contributor: Sergey_Kuleshov; editor: Valter. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
A stretched loop on a soap film
Adapted from Savchenko, Problems in Physics, problem 4.5.5; English community presentation at Savchenko Solutions. Source contributor: emixter; editor: astrosander. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
How much ballast water can the air displace?
Adapted from Savchenko, Problems in Physics, problem 5.5.5; English community presentation at Savchenko Solutions. Source contributor: Valter. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Pressure after an idealised gas reaction
Adapted from Savchenko, Problems in Physics, problem 5.6.5; English community presentation at Savchenko Solutions. Source contributor: emixter. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Three routes, one entropy change
Adapted from Savchenko, Problems in Physics, problem 5.9.5; English community presentation at Savchenko Solutions. English community solution; no contributor name was displayed on the inspected page. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Freezing water by removing vapour
Adapted from Savchenko, Problems in Physics, problem 5.10.5; English community presentation at Savchenko Solutions. Source contributor: astrosander. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
The charge hidden in a drop of water
Adapted from Savchenko, Problems in Physics, problem 6.1.5; English community presentation at Savchenko Solutions. Source contributor: astrosander. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Forces on a plane and a tetrahedron
Adapted from Savchenko, Problems in Physics, problem 6.2.5; English community presentation at Savchenko Solutions. Source contributor: ssstepa; editor: astrosander. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Electric fields near a flattened conductor
Adapted from Savchenko, Problems in Physics, problem 6.3.10; English community presentation at Savchenko Solutions. Source contributor: Quorixis; editors: hrant and astrosander; prerequisite6.1.20 contributor: igor. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Capacitance between concentric spheres
Adapted from Savchenko, Problems in Physics, problem 6.4.5; English community presentation at Savchenko Solutions. Source contributor: emixter. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
The work of pulling capacitor plates apart
Adapted from Savchenko, Problems in Physics, problem 6.5.10; English community presentation at Savchenko Solutions. Source contributor: Sasha; editor: astrosander. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
An electron skimming a potential boundary
Adapted from Savchenko, Problems in Physics, problem 7.1.10; English community presentation at Savchenko Solutions. Source contributor: Dostonbek; editor: Valter. StemOverflow supplied the wording, explicit assumptions and independently derived reference explanation.
Three charges leaving a conducting corner
Savchenko problem collection; Savchenko Solutions contributors Valter. Adapted and independently reworked by StemOverflow.
A steady current in an uneven conductor
Savchenko problem collection; Savchenko Solutions contributors emixter. Adapted and independently reworked by StemOverflow.
A ladder that reduces each voltage tenfold
Savchenko problem collection; Savchenko Solutions contributors Luisito; editor astrosander. Adapted and independently reworked by StemOverflow.
A wire suspended in a magnetic field
Savchenko problem collection; Savchenko Solutions contributors astrosander. Adapted and independently reworked by StemOverflow.
The field along a current loop’s axis
Savchenko problem collection; Savchenko Solutions contributors astrosander. Adapted and independently reworked by StemOverflow.
Where a spread-out charged beam narrows
Savchenko problem collection; Savchenko Solutions contributors Valter; editor astrosander. Adapted and independently reworked by StemOverflow.
Heat from a rod crossing angled rails
Savchenko problem collection; Savchenko Solutions contributors astrosander. Adapted and independently reworked by StemOverflow.
Inductance of a coaxial line
Savchenko problem collection; Savchenko Solutions contributors Alexphysics. Adapted and independently reworked by StemOverflow.
A charged capacitor feeds two inductors
Savchenko problem collection; Savchenko Solutions contributors igor. Adapted and independently reworked by StemOverflow.
When two light pulses overlap
Savchenko problem collection; Savchenko Solutions contributors igor. Adapted and independently reworked by StemOverflow.
What does a mirror actually reverse?
Savchenko problem collection; Savchenko Solutions contributors Tete. Adapted and independently reworked by StemOverflow.
Why a capillary bore looks wider
Savchenko problem collection; Savchenko Solutions contributors emixter. Adapted and independently reworked by StemOverflow.
Refocusing a blurred image of the Moon
Savchenko problem collection; Savchenko Solutions contributors Tete. Adapted and independently reworked by StemOverflow.
Direct signals and reflected signals
Savchenko problem collection; Savchenko Solutions contributors smb_2_3; editor jzmicer. Adapted and independently reworked by StemOverflow.
Adding spacecraft velocities
Savchenko problem collection; Savchenko Solutions contributors Sergey_Kuleshov. Adapted and independently reworked by StemOverflow.
Mass expressed as rest energy
Savchenko problem collection; Savchenko Solutions contributors emixter. Adapted and independently reworked by StemOverflow.