StudyBrixFree worksheets, study guides and courses

University · Physics

University Physics practice

15 questions on relativity, oscillations, thermodynamics, electromagnetism. The answer key is a separate download.

Open and downloadGet the answer keyChange the questions

What is on the worksheet

  1. A particle moves at v=0.87c. Calculate its Lorentz factor γ. Round the final result to 4 decimal places if needed.

  2. An ideal mass-spring oscillator has m=3.4 kg and k=270 N/m. Calculate its period. Round the final result to 4 decimal places if needed. Answer in s.

  3. A particle moves at v=0.41c. Calculate its Lorentz factor γ. Round the final result to 4 decimal places if needed.

  4. An underdamped oscillator obeys m x″+b x′+kx=0 with m=7 kg, b=0.6 kg/s and initial envelope 18 cm. Find its envelope after 12 s. Round the final result to 4 decimal places if needed. Answer in cm.

  5. A reversible heat engine works between 350 K and 870 K. Find its Carnot efficiency as a percentage. Round the final result to 4 decimal places if needed. Answer in %.

  6. An underdamped oscillator obeys m x″+b x′+kx=0 with m=4 kg, b=0.3 kg/s and initial envelope 2 cm. Find its envelope after 3 s. Round the final result to 4 decimal places if needed. Answer in cm.

  7. An underdamped oscillator obeys m x″+b x′+kx=0 with m=3 kg, b=0.3 kg/s and initial envelope 43 cm. Find its envelope after 7 s. Round the final result to 4 decimal places if needed. Answer in cm.

  8. An ideal capacitor of 150 μF is at 49 V. Calculate its stored energy in millijoules. Round the final result to 4 decimal places if needed. Answer in mJ.

  9. An underdamped oscillator obeys m x″+b x′+kx=0 with m=1 kg, b=0.9 kg/s and initial envelope 49 cm. Find its envelope after 14 s. Round the final result to 4 decimal places if needed. Answer in cm.

  10. A charge of magnitude 11 μC travels at 17 m/s perpendicular to B=1.5 T. Find magnetic force magnitude in μN. Round the final result to 4 decimal places if needed. Answer in μN.

  11. A reversible heat engine works between 240 K and 680 K. Find its Carnot efficiency as a percentage. Round the final result to 4 decimal places if needed. Answer in %.

  12. An ideal capacitor of 38 μF is at 75 V. Calculate its stored energy in millijoules. Round the final result to 4 decimal places if needed. Answer in mJ.

  13. An ideal capacitor of 30 μF is at 16 V. Calculate its stored energy in millijoules. Round the final result to 4 decimal places if needed. Answer in mJ.

  14. An underdamped oscillator obeys m x″+b x′+kx=0 with m=2 kg, b=0.5 kg/s and initial envelope 39 cm. Find its envelope after 2 s. Round the final result to 4 decimal places if needed. Answer in cm.

  15. A uniform solid cylinder of mass 30 kg rolls without slipping at center-of-mass speed 12 m/s. Find its total kinetic energy. Round the final result to 4 decimal places if needed. Answer in J.