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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 57 · 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.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  2. 2.⚖️ A seesaw balances. Arjun (390 N) sits 1 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?
  3. 3.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Meena (120 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Arjun (360 N) sits 2 m from the pivot on one side; Zoya (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Meena (100 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?
  8. 8.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Ravi (360 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?
  10. 10.⚖️ A seesaw balances. Zoya (110 N) sits 4 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?
  11. 11.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (110 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. Meena (400 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?
  14. 14.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Kabir (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (190 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 ? N at 10 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?
  18. 18.⚖️ A seesaw balances. Asha (170 N) sits 3 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?
  19. 19.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Meena (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Asha (110 N) sits 3 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 lever balances when … (a) the fulcrum moves (b) both weights are equal (c) the bar is short (d) turning effects match
  22. 22.⚖️ A lever bar balances. The load is 320 N at 20 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?
  23. 23.⚖️ A seesaw balances. Arjun (450 N) sits ? m from the pivot on one side; Meena (150 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (760 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Meena (200 N) sits 1 m from the pivot on one side; Zoya (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 200 N at 50 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?
  28. 28.⚖️ A lever bar balances. The load is 1000 N at 10 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?
  29. 29.⚖️ A lever bar balances. The load is 40 N at 20 cm from the fulcrum. The effort is 20 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 400 N at ? cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (340 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 560 N at 20 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?
  33. 33.⚖️ A lever bar balances. The load is 180 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?
  34. 34.⚖️ A lever bar balances. The load is 70 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?
  35. 35.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Zoya (440 N) sits 1 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Kabir (360 N) sits 2 m from the pivot on one side; Arjun (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Zoya (800 N) sits 2 m from the pivot on one side; Kabir (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ 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?

Answer key

  1. closer to the pivot
  2. 130
  3. 40
  4. 30
  5. 1
  6. 2
  7. 200
  8. 200
  9. 720
  10. 440
  11. 440
  12. distance from fulcrum
  13. 4
  14. 4
  15. 10
  16. 380
  17. 120
  18. 510
  19. 320
  20. 330
  21. turning effects match
  22. 160
  23. 1
  24. 570
  25. 2
  26. 120
  27. 250
  28. 100
  29. 40
  30. 30
  31. 340
  32. 140
  33. 100
  34. 20
  35. 800
  36. 350
  37. 110
  38. 3
  39. 4
  40. 1

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