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THE PRACTICE STUDIO

Physics practice.
One idea at a time.

Choose a topic, try a problem, and work through the reasoning. Take a hint when you need one. Keep going when it clicks.

435 problems11 topic collections72 study chapters

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Practice collections

Browse all 435 problems ↓
39 problems

Measurement & tools

Read instruments, resolve vectors and check dimensions.

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36 problems

Motion & forces

Read motion, choose a frame and draw the forces.

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23 problems

Energy & momentum

Choose a system and follow what is conserved.

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34 problems

Rotation & gravity

Connect torque, rolling motion and orbits.

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39 problems

Fluids

Balance pressure, buoyancy and steady flow.

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25 problems

Oscillations & waves

Follow a cycle, compare phases and find patterns.

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56 problems

Thermal physics

Track heat, work and temperature changes.

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55 problems

Electricity & circuits

Build fields and simplify circuit connections.

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42 problems

Magnetism & induction

Work with moving charges and changing flux.

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47 problems

Optics

Trace rays and turn path differences into fringes.

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39 problems

Modern physics

Connect photons, matter waves and atomic energies.

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01

Build the foundations

Start with one principle and a clear model.

02

Connect the ideas

Choose the right method and carry it through.

03

Take on a challenge

Combine constraints, conservation laws and careful reasoning.

PRACTISE AT YOUR PACE

Explore all problems

435 problems · Showing 12

AdvancedFree sample01

Rotation & gravity

One axis for the whole rotor

Inertia can be added only after every contribution refers to the same axis.

Connect concepts
Moment of inertiaParallel-axis theorem
Start problem
Intermediate02

Rotation & gravity

A couple changes the support share

What is the upward reaction at the right support?

Connect concepts
Static equilibriumTorque
Start problem
Advanced03

Rotation & gravity

Is there enough grip to roll?

What is the minimum coefficient of static friction for pure rolling?

Connect concepts
Rolling without slippingRotational dynamics
Start problem
Advanced04

Rotation & gravity

Friction can point forward

What is the signed friction force, with rightward positive?

Connect concepts
Rolling without slippingRotational dynamics
Start problem
Intermediate05

Rotation & gravity

Infer the mass distribution from a descent

What value of β follows from the energy measurements?

Find a missing quantity
Rolling energyMoment of inertia
Start problem
Advanced06

Rotation & gravity

Conserve angular momentum, then audit energy

How much kinetic energy is lost during the collision?

Connect concepts
Angular momentum conservationRotational kinetic energy
Start problem
Intermediate07

Rotation & gravity

A torque graph can reverse a rotor

What is its angular velocity at t=4 s?

Read graphs & measurements
Angular momentumRotational dynamics
Start problem
Intermediate08

Rotation & gravity

Undo the old axis shift first

What is the new moment of inertia?

Find a missing quantity
Parallel-axis theoremMoment of inertia
Start problem
IntermediateFree sample09

Magnetism & induction

Apply the charge sign last

The cross product and the sign of the charge are two separate direction decisions.

Apply a principle
Lorentz forceCrossed fields
Start problem
Advanced10

Magnetism & induction

Selection followed by curvature

What mass follows from these observations?

Connect concepts
Velocity selectorCrossed fields
Start problem
Intermediate11

Magnetism & induction

Read velocity components from a helix

What is the ratio |v_parallel|/v_perpendicular?

Read graphs & measurements
Magnetic force on a chargeCharged-particle circular motion
Start problem
Advanced12

Magnetism & induction

The far edge may never be reached

When does the particle first leave the strip?

Connect concepts
Charged-particle circular motionMagnetic force on a charge
Start problem

12 of 435 shown