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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 168 · 40 questions
TalentJR

Engineer's tip (Both sides turn the same): Turning effect = force × distance from the fulcrum. Balance: load × load distance = effort × effort distance. Missing value = the known side’s product ÷ the other number on its own side.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Zoya (520 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Asha (150 N) sits 4 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 20 N at 50 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is 140 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 40 N at 50 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Zoya (540 N) sits 2 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) time taken (d) distance from fulcrum
  10. 10.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
  11. 11.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) farther from the pivot (d) anywhere
  12. 12.⚖️ A seesaw balances. Arjun (400 N) sits ? m from the pivot on one side; Meena (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 420 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Zoya (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Asha (680 N) sits ? m from the pivot on one side; Meena (340 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is 60 N at 20 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Asha (220 N) sits ? m from the pivot on one side; Zoya (330 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Zoya (720 N) sits 4 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Meena (440 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Meena (190 N) sits ? m from the pivot on one side; Kabir (570 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Zoya (570 N) sits 2 m from the pivot on one side; Kabir (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (380 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Meena (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (390 N) sits 3 m from the pivot on one side; Kabir (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 100 N at 10 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 270 N at 50 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 350 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Kabir (510 N) sits 2 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 420 N at 20 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 300 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 120 N at 20 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Arjun (220 N) sits ? m from the pivot on one side; Kabir (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 90 N at 20 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Meena (440 N) sits 3 m from the pivot on one side; Zoya (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 4
  2. 600
  3. 50
  4. 50
  5. 720
  6. 20
  7. 100
  8. 360
  9. distance from fulcrum
  10. turning effects match
  11. closer to the pivot
  12. 4
  13. 60
  14. 3
  15. 2
  16. 30
  17. 3
  18. 60
  19. 720
  20. 30
  21. 30
  22. 440
  23. 3
  24. 3
  25. 190
  26. 280
  27. 250
  28. 3
  29. 50
  30. 450
  31. 70
  32. 340
  33. 120
  34. 560
  35. 50
  36. 30
  37. 1
  38. 30
  39. 20
  40. 4

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