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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 74 · 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 (400 N) sits 1 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?
  2. 2.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) time taken (d) colour of bar
  3. 3.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Meena (340 N) sits 3 m from the pivot on one side; Asha (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever bar balances. The load is 210 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  7. 7.⚖️ A lever bar balances. The load is 160 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?
  8. 8.⚖️ A lever bar balances. The load is 200 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?
  9. 9.⚖️ A seesaw balances. Ravi (360 N) sits 3 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?
  10. 10.⚖️ A seesaw balances. Asha (100 N) sits ? m from the pivot on one side; Arjun (400 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 ? N at 40 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Arjun (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Arjun (200 N) sits ? m from the pivot on one side; Zoya (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Zoya (110 N) sits ? m from the pivot on one side; Kabir (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (160 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is 200 N at 40 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?
  17. 17.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
  18. 18.⚖️ A seesaw balances. Asha (360 N) sits 3 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?
  19. 19.⚖️ A seesaw balances. Asha (220 N) sits 4 m from the pivot on one side; Arjun (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Kabir (130 N) sits 1 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?
  21. 21.⚖️ A seesaw balances. Asha (240 N) sits 4 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 210 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Kabir (480 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?
  24. 24.⚖️ A lever bar balances. The load is 640 N at 40 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 450 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?
  26. 26.⚖️ A lever bar balances. The load is 200 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 720 N at 30 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?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (440 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 120 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?
  30. 30.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Meena (240 N) sits 2 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?
  33. 33.⚖️ A seesaw balances. Kabir (260 N) sits 1 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 70 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 240 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Kabir (510 N) sits ? m from the pivot on one side; Meena (510 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Asha (640 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Ravi (440 N) sits 2 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Zoya (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 200
  2. distance from fulcrum
  3. 130
  4. 2
  5. 30
  6. closer to the pivot
  7. 30
  8. 20
  9. 3
  10. 4
  11. 200
  12. 110
  13. 2
  14. 2
  15. 320
  16. 200
  17. turning effects match
  18. 3
  19. 2
  20. 130
  21. 480
  22. 30
  23. 480
  24. 320
  25. 50
  26. 50
  27. 90
  28. 330
  29. 20
  30. 20
  31. 40
  32. 240
  33. 130
  34. 10
  35. 40
  36. 3
  37. 480
  38. 220
  39. 40
  40. 400

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