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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 184 · 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 (? N) sits 1 m from the pivot on one side; Arjun (160 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Asha (400 N) sits 1 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) both weights are equal (d) turning effects match
  4. 4.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Zoya (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 50 N at 10 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?
  8. 8.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Ravi (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 280 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?
  12. 12.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 200 N at 50 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?
  15. 15.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 150 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever bar balances. The load is 70 N at 30 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?
  17. 17.⚖️ A lever bar balances. The load is 640 N at ? cm from the fulcrum. The effort is 240 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 480 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Ravi (360 N) sits 4 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (360 N) sits 2 m from the pivot on one side; Kabir (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Asha (160 N) sits 1 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?
  22. 22.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Kabir (150 N) sits ? m from the pivot on one side; Arjun (450 N) sits 1 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 20 cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Arjun (120 N) sits ? m from the pivot on one side; Zoya (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) time taken (d) distance from fulcrum
  27. 27.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Zoya (130 N) sits 1 m from the pivot on one side; Kabir (130 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 210 N at 10 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?
  30. 30.⚖️ A seesaw balances. Meena (480 N) sits 3 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?
  31. 31.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Asha (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (200 N) sits 1 m from the pivot on one side; Asha (100 N) sits ? 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 10 cm from the fulcrum. The effort is 90 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 140 N at ? cm from the fulcrum. The effort is 350 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 80 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?
  37. 37.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  38. 38.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Zoya (800 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Arjun (120 N) sits 3 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 160
  2. 2
  3. turning effects match
  4. 1
  5. 360
  6. 30
  7. 10
  8. 4
  9. 400
  10. 540
  11. 80
  12. 240
  13. 130
  14. 100
  15. 30
  16. 30
  17. 30
  18. 80
  19. 480
  20. 3
  21. 160
  22. 240
  23. 3
  24. 60
  25. 4
  26. distance from fulcrum
  27. 150
  28. 1
  29. 30
  30. 480
  31. 4
  32. 200
  33. 2
  34. 70
  35. 50
  36. 40
  37. closer to the pivot
  38. 40
  39. 4
  40. 1

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