50 physics calculation questions suitable secondary school students, along with their answers in brackets.
1. A car accelerates from rest to 20 m/s in 4 seconds. What is its acceleration? [5 m/s²]
2. A force of 50 N is applied to a 10 kg object. What is the acceleration of the object? [5 m/s²]
3. A 5 kg object is lifted to a height of 10 m. What is the work done against gravity? (Use g = 9.8 m/s²) [490 J]
4. An object is moving at 10 m/s and has a mass of 8 kg. What is its kinetic energy? [400 J]
5. A wave has a frequency of 50 Hz and a wavelength of 0.4 m. What is its speed? [20 m/s]
6. A 10 kg object is moving with a velocity of 15 m/s. What is its momentum? [150 kg·m/s]
7. A circuit has a current of 2 A and a resistance of 10 Ω. What is the voltage across the circuit? [20 V]
8. A car travels 100 km in 2 hours. What is its average speed? [50 km/h]
9. A force of 30 N is applied to move an object 5 m. What is the work done? [150 J]
10. A 6 kg object is dropped from a height of 20 m. What is its potential energy at the top? (Use g = 9.8 m/s²) [1176 J]
11. A resistor has a voltage of 12 V across it and a current of 3 A. What is its resistance? [4 Ω]
12. A spring has a spring constant of 200 N/m and is stretched 0.1 m. What is the force exerted by the spring? [20 N]
13. An object has a mass of 2 kg and is moving with a velocity of 3 m/s. What is its kinetic energy? [9 J]
14. A box is pushed with a force of 40 N and moves 3 m. What is the work done on the box? [120 J]
15. A car slows down from 25 m/s to 5 m/s in 4 seconds. What is its acceleration? [-5 m/s²]
16. A current of 5 A flows through a 15 Ω resistor. What is the power dissipated by the resistor? [375 W]
17. A 50 kg person runs up a flight of stairs 10 m high in 8 seconds. What is their power output? (Use g = 9.8 m/s²) [612.5 W]
18. A circuit has a voltage of 24 V and a resistance of 8 Ω. What is the current in the circuit? [3 A]
19. A block is pulled up a 30° incline with a force of 100 N over a distance of 5 m. What is the work done against gravity? [250 J]
20. A sound wave has a frequency of 200 Hz and a speed of 340 m/s. What is its wavelength? [1.7 m]
21. A 15 kg object falls freely from rest. What is its velocity after 3 seconds? (Use g = 9.8 m/s²) [29.4 m/s]
22. A 2 kg object is thrown vertically upwards with an initial velocity of 20 m/s. What is the maximum height reached? [20.4 m]
23. A transformer has a primary voltage of 240 V and a secondary voltage of 12 V. If the primary coil has 1000 turns, how many turns does the secondary coil have? [50 turns]
24. A car travels 150 km in 3 hours and then 50 km in 1 hour. What is its average speed? [50 km/h]
25. A 4 kg object is acted upon by a force of 16 N. What is its acceleration? [4 m/s²]
26. A resistor of 10 Ω is connected in series with another resistor of 20 Ω. What is the total resistance? [30 Ω]
27. A wave has a speed of 300 m/s and a wavelength of 3 m. What is its frequency? [100 Hz]
28. A 5 kg object is moving at 6 m/s and collides with a stationary object of 3 kg. If they stick together, what is their final velocity? [3.75 m/s]
29. A car with a mass of 1200 kg accelerates from 0 to 20 m/s in 10 seconds. What is the force applied? [2400 N]
30. A 2 m long pendulum swings with a period of 2.8 seconds. What is the acceleration due to gravity? [9.87 m/s²]
31. A circuit has a power of 60 W and a current of 4 A. What is the voltage across the circuit? [15 V]
32. A stone is thrown horizontally from a height of 45 m with a velocity of 15 m/s. How long does it take to hit the ground? [3 s]
33. A 500 g object is moving with a velocity of 10 m/s. What is its momentum? [5 kg·m/s]
34. A 10 Ω resistor is connected in parallel with a 20 Ω resistor. What is the equivalent resistance? [6.67 Ω]
35. A light wave has a frequency of 6 × 10¹⁴ Hz. What is its wavelength if the speed of light is 3 × 10⁸ m/s? [0.5 µm]
36. A ball is thrown upwards with an initial velocity of 15 m/s. How high does it go? [11.5 m]
37. A 50 kg object is pushed with a force of 200 N. What is its acceleration? [4 m/s²]
38. A machine does 500 J of work in 10 seconds. What is its power output? [50 W]
39. A circuit has a current of 0.5 A and a resistance of 24 Ω. What is the voltage? [12 V]
40. A block slides down a frictionless incline of 30° from a height of 5 m. What is its speed at the bottom? [9.9 m/s]
41. A 60 W light bulb operates for 3 hours. How much energy does it consume? [648 kJ]
42. A 3 kg object is moving in a circle with a radius of 2 m at a speed of 4 m/s. What is the centripetal force? [24 N]
43. A spring has a spring constant of 150 N/m and is compressed by 0.2 m. What is the potential energy stored in the spring? [3 J]
44. A 1000 kg car moves at 20 m/s. What is its kinetic energy? [200 kJ]
45. A transformer has 100 turns in the primary coil and 500 turns in the secondary coil. If the primary voltage is 120 V, what is the secondary voltage? [600 V]
46. A wave travels at 150 m/s with a frequency of 30 Hz. What is its wavelength? [5 m]
47. A car accelerates uniformly from rest to 25 m/s in 5 seconds. What is the distance traveled? [62.5 m]
48. A force of 25 N is applied at an angle of 30° to the horizontal to move an object 4 m. What is the work done? [86.6 J]
49. A ball is dropped from a height of 10 m. What is its velocity just before hitting the ground? (Use g = 9.8 m/s²) [14 m/s]
50. A mass of 2 kg is attached to a spring and oscillates with a frequency of 1.5 Hz. What is the spring constant? [18.9 N/m]
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