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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 723 · 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. Ravi (570 N) sits 2 m from the pivot on one side; Meena (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A lever bar balances. The load is 400 N at 30 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?
  3. 3.⚖️ A seesaw balances. Asha (760 N) sits 3 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?
  4. 4.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (340 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Ravi (600 N) sits 4 m from the pivot on one side; Kabir (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever bar balances. The load is 160 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?
  7. 7.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  9. 9.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  10. 10.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Kabir (450 N) sits 2 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) both weights are equal (d) the bar is short
  17. 17.⚖️ A seesaw balances. Meena (560 N) sits ? m from the pivot on one side; Zoya (280 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 180 N at 20 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 210 N at 10 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?
  22. 22.⚖️ A seesaw balances. Asha (640 N) sits 2 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Asha (260 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?
  24. 24.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 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 ? 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?
  26. 26.⚖️ A seesaw balances. Asha (440 N) sits 2 m from the pivot on one side; Arjun (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Kabir (600 N) sits 1 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Meena (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 140 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?
  31. 31.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Arjun (130 N) sits 4 m from the pivot on one side; Ravi (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Ravi (390 N) sits 3 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. Arjun (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?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Arjun (540 N) sits 3 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Zoya (130 N) sits 4 m from the pivot on one side; Asha (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Ravi (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 3
  2. 120
  3. 570
  4. 510
  5. 4
  6. 40
  7. 360
  8. closer to the pivot
  9. distance from fulcrum
  10. 140
  11. 490
  12. 170
  13. 180
  14. 300
  15. 630
  16. turning effects match
  17. 2
  18. 480
  19. 240
  20. 30
  21. 30
  22. 320
  23. 130
  24. 80
  25. 40
  26. 4
  27. 150
  28. 360
  29. 4
  30. 20
  31. 100
  32. 1
  33. 390
  34. 1
  35. 180
  36. 540
  37. 200
  38. 1
  39. 2
  40. 200

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