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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 537 · 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.

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  1. 1.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Kabir (380 N) sits 1 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 80 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 420 N at 30 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ 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?
  6. 6.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  7. 7.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (130 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Meena (510 N) sits ? m from the pivot on one side; Kabir (170 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (390 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) farther from the pivot (d) closer to the pivot
  13. 13.⚖️ A seesaw balances. Asha (190 N) sits ? m from the pivot on one side; Meena (380 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Meena (240 N) sits 1 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  16. 16.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (540 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is 240 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Zoya (360 N) sits 3 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 810 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Asha (120 N) sits 2 m from the pivot on one side; Zoya (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 700 N at 10 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Kabir (280 N) sits 1 m from the pivot on one side; Arjun (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (560 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 200 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 560 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Ravi (440 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is 250 N at 40 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A lever bar balances. The load is 100 N at 50 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Ravi (440 N) sits 3 m from the pivot on one side; Meena (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 800 N at 30 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Arjun (510 N) sits ? m from the pivot on one side; Zoya (340 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 280 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 450
  2. 190
  3. 80
  4. 210
  5. 30
  6. distance from fulcrum
  7. 390
  8. 150
  9. 120
  10. 1
  11. 390
  12. closer to the pivot
  13. 2
  14. 120
  15. turning effects match
  16. 120
  17. 540
  18. 490
  19. 60
  20. 540
  21. 90
  22. 400
  23. 1
  24. 240
  25. 320
  26. 70
  27. 2
  28. 140
  29. 50
  30. 80
  31. 330
  32. 300
  33. 50
  34. 200
  35. 50
  36. 4
  37. 240
  38. 2
  39. 90
  40. 40

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