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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 616 · 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.⚖️ A seesaw balances. Zoya (560 N) sits 3 m from the pivot on one side; Ravi (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Kabir (200 N) sits 4 m from the pivot on one side; Arjun (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Asha (340 N) sits 1 m from the pivot on one side; Zoya (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  5. 5.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A seesaw balances. Arjun (380 N) sits ? m from the pivot on one side; Meena (570 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Kabir (100 N) sits ? m from the pivot on one side; Zoya (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  10. 10.⚖️ A lever bar balances. The load is 60 N at 10 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?
  11. 11.⚖️ A lever bar balances. The load is 20 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Meena (510 N) sits 1 m from the pivot on one side; Arjun (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Ravi (130 N) sits ? m from the pivot on one side; Kabir (520 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Asha (? 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?
  16. 16.⚖️ A seesaw balances. Kabir (380 N) sits ? m from the pivot on one side; Arjun (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Asha (100 N) sits 3 m from the pivot on one side; Ravi (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Kabir (140 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?
  19. 19.⚖️ 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?
  20. 20.⚖️ A seesaw balances. Arjun (420 N) sits 3 m from the pivot on one side; Meena (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (600 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 ? N at 10 cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ 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?
  24. 24.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 100 N at 10 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?
  27. 27.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 50 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is 120 N at 50 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Meena (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Asha (180 N) sits ? m from the pivot on one side; Kabir (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ 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?
  33. 33.⚖️ A seesaw balances. Asha (600 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?
  34. 34.⚖️ A seesaw balances. Ravi (380 N) sits ? m from the pivot on one side; Arjun (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  36. 36.⚖️ A lever bar balances. The load is 560 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is 500 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Asha (130 N) sits 3 m from the pivot on one side; Ravi (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 4
  2. 1
  3. 2
  4. distance from fulcrum
  5. 280
  6. 3
  7. 3
  8. 560
  9. closer to the pivot
  10. 20
  11. 20
  12. 30
  13. 3
  14. 4
  15. 560
  16. 2
  17. 1
  18. 140
  19. 240
  20. 3
  21. 300
  22. 150
  23. 70
  24. 130
  25. 60
  26. 50
  27. 10
  28. 450
  29. 100
  30. 1
  31. 1
  32. 80
  33. 200
  34. 2
  35. turning effects match
  36. 80
  37. 180
  38. 40
  39. 560
  40. 1

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