Ontario Secondary School Diploma (OSSD) · Science (Grades 11 and 12)

Physics and Chemistry Calculations

28 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 28 questions

  1. A stone is dropped from rest (g = 10 m/s², no air resistance). How far has it fallen after 4 s?
  2. A net force of 10 N acts on a 2 kg block. What is its acceleration?
  3. A metal block of volume 50 cm³ has a mass of 250 g. What is its density?
  4. How much gravitational potential energy does a 50 kg object gain when lifted 10 m (g = 10 m/s²)?
  5. A wave has wavelength 3 m and frequency 50 Hz. What is its speed?
  6. What is the kinetic energy of a 2 kg object moving at 3 m/s?
  7. A 5 kg cart moving at 4 m/s sticks to a 5 kg cart at rest. What is their common speed afterwards?
  8. A ball thrown straight up at 10 m/s (g = 10 m/s², no drag) reaches what maximum height?
  9. A motor receives 200 W and has an efficiency of 40%. What useful power does it deliver?
  10. 50 mL of a 1 mol/L solution is diluted with water to a final volume of 250 mL. What is the new concentration?
  11. A ball thrown straight up at 20 m/s (g = 10 m/s², no drag) reaches what maximum height?
  12. A 2 kg cart moving at 9 m/s sticks to a 1 kg cart at rest. What is their common speed afterwards?
  13. How much gravitational potential energy does a 20 kg object gain when lifted 5 m (g = 10 m/s²)?
  14. A strong acid solution has [H+] = 10^-2 mol/L. What is its pH?
  15. How many moles of solute are in 0.5 L of a 1 mol/L solution?
  16. A machine does 1500 J of work in 30 s. What is its average power?
  17. How many moles of solute are in 0.5 L of a 0.1 mol/L solution?
  18. A machine does 4500 J of work in 20 s. What is its average power?
  19. A force of 600 N acts perpendicularly on an area of 4 m². What is the pressure?
  20. A 50 ohm resistor carries a current of 5 A. What is the voltage across it?
  21. What mass of NaCl (M = 58.5 g/mol) corresponds to 3 mol?
  22. What mass of H2O (M = 18 g/mol) corresponds to 0.5 mol?
  23. A machine does 4500 J of work in 10 s. What is its average power?
  24. A car starts from rest with constant acceleration 2 m/s². What is its speed after 100 m?
  25. Two resistors of 20 and 5 ohms are connected in parallel. What is the equivalent resistance?
  26. How many kilojoules are needed to heat 1 kg of water by 40 °C? (c = 4 kJ/(kg·°C))
  27. 50 mL of a 6 mol/L solution is diluted with water to a final volume of 300 mL. What is the new concentration?
  28. How many kilojoules are needed to heat 0.5 kg of water by 20 °C? (c = 4 kJ/(kg·°C))

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