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  1. Practice problem

    From degrees of freedom to gamma →

    Intermediate · Apply a principle. Find γ = Cp/Cv.

  2. Practice problem / FREE SAMPLE

    Gravity at one planet radius of altitude →

    Intermediate · Compare cases. Distinguish altitude from distance to the centre in a gravitational-field model.

  3. Practice problem

    Grip sets a turning speed →

    Intermediate · Connect concepts. Find the maximum speed before slipping.

  4. Practice problem / FREE SAMPLE

    Half the pointer, a changing source current →

    Intermediate · Apply a principle. The shunt-equals-coil shortcut is a limiting result, not the defining physics of half deflection.

  5. Practice problem

    Half the voltage, one quarter of the energy →

    Intermediate · Connect concepts. When does its stored energy first become one quarter of its initial energy?

  6. Practice problem

    Halve the excess twice →

    Intermediate · Connect concepts. How long after the initial 80°C reading does it reach 35°C?

  7. Practice problem

    Heat released before the speed halves →

    Intermediate · Connect concepts. How much heat has been released when the speed first reaches 1.5 m/s?

  8. Practice problem / FREE SAMPLE

    Heat through a metal rod →

    Intermediate · Apply a principle. The end-temperature difference acts across the rod length; multiply that gradient by conductivity and area.

  9. Practice problem / FREE SAMPLE

    Heating gas in a rigid container →

    Intermediate · Compare cases. At fixed volume and particle number, pressure is proportional to absolute temperature.

  10. Practice problem

    Higher potential can mean lower energy →

    Intermediate · Apply a principle. What work is done by the electric field?

  11. Practice problem

    How do you add up a changing force? →

    Intermediate · Read graphs & measurements. How much work does this force do?

  12. Practice problem

    How far apart are neighbouring bright fringes? →

    Intermediate · Apply a principle. What is the spacing between adjacent bright fringes near the centre?

  13. Practice problem

    How far does the cart travel before stopping? →

    Intermediate · Find a missing quantity. Find the stopping distance.

  14. Practice problem

    How fast does current build? →

    Intermediate · Apply a principle. Find the circuit time constant.

  15. Practice problem

    How fast is an oscillator halfway to an end? →

    Intermediate · Apply a principle. What is its speed as a fraction of the maximum speed?

  16. Practice problem / FREE SAMPLE

    How high does the liquid climb? →

    Intermediate · Apply a principle. Balance upward surface-tension force around the rim against the weight of the liquid column.

  17. Practice problem

    How high does the vertical part climb? →

    Intermediate · Find a missing quantity. Find the maximum height above launch.

  18. Practice problem

    How is a point load shared? →

    Intermediate · Connect concepts. Find the upward reaction at the right support.

  19. Practice problem

    How large can mutual inductance be? →

    Advanced · Apply a principle. What is the largest possible magnitude of their mutual inductance?

  20. Practice problem

    How many decays occur each second? →

    Intermediate · Apply a principle. Find its current activity.