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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 35 · 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 seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Kabir (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 500 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ 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?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  6. 6.⚖️ A seesaw balances. Kabir (190 N) sits 3 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?
  7. 7.⚖️ A seesaw balances. Ravi (360 N) sits 2 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 50 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Asha (110 N) sits 4 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 240 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (400 N) sits 2 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Meena (180 N) sits 3 m from the pivot on one side; Ravi (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  16. 16.⚖️ A lever bar balances. The load is 400 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?
  17. 17.⚖️ A lever bar balances. The load is 20 N at 30 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?
  18. 18.⚖️ A seesaw balances. Asha (760 N) sits 2 m from the pivot on one side; Meena (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  22. 22.⚖️ A lever bar balances. The load is 40 N at 10 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is 480 N at 50 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?
  24. 24.⚖️ A lever bar balances. The load is 210 N at 40 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?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Ravi (160 N) sits 3 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Kabir (440 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Meena (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Ravi (170 N) sits 3 m from the pivot on one side; Zoya (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Arjun (190 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A lever bar balances. The load is 400 N at 30 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?
  39. 39.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ 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?

Answer key

  1. 2
  2. 50
  3. 60
  4. 80
  5. closer to the pivot
  6. 570
  7. 360
  8. 10
  9. 440
  10. 30
  11. 190
  12. 200
  13. 1
  14. 30
  15. turning effects match
  16. 320
  17. 20
  18. 4
  19. 240
  20. 120
  21. distance from fulcrum
  22. 10
  23. 400
  24. 280
  25. 480
  26. 210
  27. 1
  28. 220
  29. 90
  30. 120
  31. 120
  32. 510
  33. 1
  34. 1
  35. 1
  36. 450
  37. 130
  38. 240
  39. 190
  40. 320

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