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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 476 · 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. Zoya (120 N) sits 4 m from the pivot on one side; Meena (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Zoya (800 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Ravi (540 N) sits ? m from the pivot on one side; Asha (180 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Kabir (380 N) sits ? m from the pivot on one side; Asha (190 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Kabir (510 N) sits 3 m from the pivot on one side; Meena (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Arjun (720 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (570 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (800 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Ravi (380 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Zoya (600 N) sits 2 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
  12. 12.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Meena (570 N) sits 4 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Asha (680 N) sits ? m from the pivot on one side; Kabir (170 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 270 N at 50 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 180 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?
  18. 18.⚖️ A seesaw balances. Asha (180 N) sits 2 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Meena (760 N) sits ? m from the pivot on one side; Kabir (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 1000 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?
  23. 23.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Kabir (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) both weights are equal (d) turning effects match
  27. 27.⚖️ A lever bar balances. The load is 720 N at 10 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 360 N at 50 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (680 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Asha (450 N) sits ? m from the pivot on one side; Meena (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 630 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is 140 N at 40 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?
  37. 37.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 90 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Kabir (400 N) sits 4 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?
  40. 40.⚖️ A seesaw balances. Meena (420 N) sits ? m from the pivot on one side; Ravi (280 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 1
  2. 4
  3. 1
  4. 1
  5. 3
  6. 4
  7. 570
  8. 200
  9. 190
  10. 3
  11. distance from fulcrum
  12. 120
  13. 30
  14. 760
  15. 1
  16. 150
  17. 20
  18. 360
  19. 110
  20. 20
  21. 4
  22. 100
  23. 30
  24. 200
  25. 4
  26. turning effects match
  27. 80
  28. 450
  29. 90
  30. 680
  31. 10
  32. 30
  33. 4
  34. 70
  35. 270
  36. 80
  37. 30
  38. 300
  39. 400
  40. 2

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