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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 691 · 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. Ravi (? N) sits 3 m from the pivot on one side; Meena (510 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  3. 3.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) farther from the pivot (d) on the pivot
  5. 5.⚖️ A seesaw balances. Kabir (110 N) sits 2 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?
  6. 6.⚖️ A seesaw balances. Kabir (360 N) sits 4 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?
  7. 7.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Meena (510 N) sits 1 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?
  9. 9.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A seesaw balances. Ravi (200 N) sits 1 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?
  11. 11.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Meena (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  13. 13.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Asha (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Asha (240 N) sits 2 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?
  17. 17.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Arjun (480 N) sits 2 m from the pivot on one side; Asha (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Zoya (260 N) sits ? m from the pivot on one side; Meena (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 630 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?
  25. 25.⚖️ A seesaw balances. Arjun (480 N) sits 1 m from the pivot on one side; Kabir (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Kabir (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 100 N at 20 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?
  30. 30.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (760 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Kabir (300 N) sits 4 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 210 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?
  33. 33.⚖️ A seesaw balances. Asha (600 N) sits 2 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Meena (480 N) sits 3 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?
  35. 35.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Zoya (570 N) sits 3 m from the pivot on one side; Kabir (570 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 80 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?
  38. 38.⚖️ A seesaw balances. Ravi (180 N) sits 2 m from the pivot on one side; Arjun (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Ravi (520 N) sits 2 m from the pivot on one side; Asha (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 340
  2. turning effects match
  3. 540
  4. closer to the pivot
  5. 220
  6. 720
  7. 10
  8. 170
  9. 50
  10. 100
  11. 480
  12. distance from fulcrum
  13. 540
  14. 280
  15. 2
  16. 240
  17. 20
  18. 10
  19. 4
  20. 20
  21. 40
  22. 2
  23. 180
  24. 70
  25. 4
  26. 760
  27. 260
  28. 3
  29. 100
  30. 760
  31. 600
  32. 60
  33. 400
  34. 480
  35. 20
  36. 3
  37. 20
  38. 1
  39. 4
  40. 110

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