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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 270 · 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. Kabir (120 N) sits ? m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Ravi (390 N) sits 1 m from the pivot on one side; Asha (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Ravi (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?
  4. 4.⚖️ A lever bar balances. The load is 140 N at 20 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Zoya (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
  12. 12.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Kabir (680 N) sits 2 m from the pivot on one side; Asha (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Meena (510 N) sits 3 m from the pivot on one side; Zoya (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ 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?
  16. 16.⚖️ A seesaw balances. Kabir (130 N) sits 1 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 250 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (150 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  20. 20.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (100 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Meena (340 N) sits ? m from the pivot on one side; Kabir (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Asha (680 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 720 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?
  25. 25.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 30 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (140 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 200 N at 30 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?
  28. 28.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Kabir (520 N) sits ? m from the pivot on one side; Arjun (130 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Arjun (320 N) sits 4 m from the pivot on one side; Ravi (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ 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?
  32. 32.⚖️ A lever bar balances. The load is 240 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?
  33. 33.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  34. 34.⚖️ A lever bar balances. The load is 120 N at 30 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?
  35. 35.⚖️ A lever bar balances. The load is 240 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?
  36. 36.⚖️ A seesaw balances. Arjun (120 N) sits 1 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (380 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever bar balances. The load is 320 N at 20 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Meena (150 N) sits 1 m from the pivot on one side; Ravi (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 3
  2. 3
  3. 4
  4. 70
  5. 50
  6. 40
  7. 120
  8. 40
  9. 320
  10. 2
  11. turning effects match
  12. 100
  13. 4
  14. 3
  15. 20
  16. 130
  17. 50
  18. 150
  19. closer to the pivot
  20. 400
  21. 90
  22. 2
  23. 4
  24. 180
  25. 30
  26. 280
  27. 300
  28. 200
  29. 1
  30. 2
  31. 240
  32. 200
  33. distance from fulcrum
  34. 60
  35. 60
  36. 120
  37. 450
  38. 570
  39. 80
  40. 1

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