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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 15 · 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. Zoya (160 N) sits 2 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?
  2. 2.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (420 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 720 N at 20 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?
  5. 5.⚖️ A seesaw balances. Ravi (? 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?
  6. 6.⚖️ A lever bar balances. The load is 420 N at 40 cm from the fulcrum. The effort is 240 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 720 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?
  8. 8.⚖️ A seesaw balances. Zoya (110 N) sits ? m from the pivot on one side; Kabir (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) both weights are equal (d) the bar is short
  10. 10.⚖️ A seesaw balances. Arjun (130 N) sits ? m from the pivot on one side; Meena (390 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 450 N at 40 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?
  12. 12.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (800 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
  15. 15.⚖️ A lever bar balances. The load is 200 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?
  16. 16.⚖️ A lever bar balances. The load is 200 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?
  17. 17.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 210 N at 50 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?
  19. 19.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Meena (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (100 N) sits 3 m from the pivot on one side; Zoya (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Kabir (130 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?
  26. 26.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
  27. 27.⚖️ A lever bar balances. The load is 420 N at 50 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?
  28. 28.⚖️ A seesaw balances. Zoya (540 N) sits ? m from the pivot on one side; Kabir (180 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (160 N) sits 4 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Ravi (640 N) sits 3 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?
  33. 33.⚖️ A lever bar balances. The load is 20 N at 40 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?
  34. 34.⚖️ A lever bar balances. The load is 180 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?
  35. 35.⚖️ A seesaw balances. Zoya (480 N) sits 1 m from the pivot on one side; Arjun (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Meena (320 N) sits 4 m from the pivot on one side; Kabir (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Kabir (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Asha (100 N) sits 1 m from the pivot on one side; Arjun (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (330 N) sits ? m from the pivot on one side; Zoya (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is ? N at 30 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?

Answer key

  1. 320
  2. 560
  3. 20
  4. 160
  5. 480
  6. 70
  7. 80
  8. 1
  9. turning effects match
  10. 3
  11. 200
  12. 600
  13. 680
  14. distance from fulcrum
  15. 40
  16. 100
  17. 480
  18. 150
  19. 300
  20. 1
  21. 50
  22. 360
  23. 900
  24. 1
  25. 520
  26. closer to the pivot
  27. 300
  28. 1
  29. 20
  30. 640
  31. 190
  32. 480
  33. 20
  34. 240
  35. 4
  36. 2
  37. 4
  38. 1
  39. 3
  40. 200

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