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  1. Practice problem / FREE SAMPLE

    Pressure added by a water column →

    Intermediate · Apply a principle. Use vertical depth and omit atmospheric pressure because the question asks for gauge pressure.

  2. Practice problem / FREE SAMPLE

    Pressure pays for a speed increase →

    Intermediate · Find a missing quantity. Compare squared speeds because the pressure difference supplies a kinetic energy density increase.

  3. Practice problem

    Pressure reveals a rigid gas’s stored energy →

    Beginner · Find a missing quantity. How much heat enters the gas?

  4. Practice problem

    Rain seen from a moving trolley →

    Intermediate · Connect concepts. Find the speed of rain relative to the trolley.

  5. Practice problem

    Read a circuit one gate at a time →

    Intermediate · Apply a principle. For how many of the four binary input pairs is the final output 1?

  6. Practice problem / FREE SAMPLE

    Read a wave from its equation →

    Intermediate · Apply a principle. Follow a fixed phase; dividing its temporal rate by its spatial rate gives the propagation speed.

  7. Practice problem

    Read capacitance from a logarithmic graph →

    Intermediate · Read graphs & measurements. Find the capacitance.

  8. Practice problem

    Read field from labelled voltage contours →

    Intermediate · Read graphs & measurements. What is the field magnitude?

  9. Practice problem / FREE SAMPLE

    Read force from the energy curve →

    Intermediate · Read graphs & measurements. Use the slope of potential energy, including its sign.

  10. Practice problem

    Read heating from a magnetic cycle →

    Advanced · Read graphs & measurements. What average heating power is associated with the loop area alone?

  11. Practice problem

    Read stiffness from extension data →

    Intermediate · Read graphs & measurements. Find Young’s modulus.

  12. Practice problem / FREE SAMPLE

    Read the end of the velocity line →

    Beginner · Apply a principle. Connect an initial velocity with the velocity change produced by steady acceleration.

  13. Practice problem

    Read the energy limit from an edge →

    Beginner · Find a missing quantity. What accelerating voltage produced this cutoff?

  14. Practice problem

    Read the four bridge arms →

    Intermediate · Read graphs & measurements. Find the unknown resistance X.

  15. Practice problem

    Read the pitch and circular scale →

    Intermediate · Read graphs & measurements. Find the measured length.

  16. Practice problem

    Read the sign at a depressed meniscus →

    Intermediate · Connect concepts. What is liquid pressure just beneath the meniscus minus gas pressure above it?

  17. Practice problem

    Read the sign of a virtual image →

    Intermediate · Find a missing quantity. Find the signed image distance.

  18. Practice problem

    Read the slope, not a single ratio →

    Intermediate · Read graphs & measurements. Find R from the data.

  19. Practice problem

    Read velocity components from a helix →

    Intermediate · Read graphs & measurements. What is the ratio |v_parallel|/v_perpendicular?

  20. Practice problem

    Recognize a combined logic condition →

    Advanced · Connect concepts. For how many of the four binary input pairs is Y = 1?