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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 484 · 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 lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is 400 N at 40 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Ravi (420 N) sits 4 m from the pivot on one side; Zoya (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) both weights are equal (d) the bar is short
  6. 6.⚖️ A lever bar balances. The load is 280 N at 10 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?
  7. 7.⚖️ A seesaw balances. Asha (110 N) sits 2 m from the pivot on one side; Kabir (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever bar balances. The load is 60 N at 40 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?
  9. 9.⚖️ A seesaw balances. Ravi (510 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?
  10. 10.⚖️ A seesaw balances. Asha (720 N) sits ? m from the pivot on one side; Kabir (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 120 N at 10 cm from the fulcrum. The effort is 60 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 160 N at 50 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?
  13. 13.⚖️ A seesaw balances. Meena (160 N) sits ? m from the pivot on one side; Ravi (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is 100 N at 10 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?
  17. 17.⚖️ A lever bar balances. The load is 720 N at 10 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 4 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 40 cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
  24. 24.⚖️ A seesaw balances. Meena (160 N) sits 4 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?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 300 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?
  28. 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Ravi (110 N) sits ? m from the pivot on one side; Meena (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  32. 32.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 400 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 140 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Zoya (360 N) sits 1 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. Ravi (190 N) sits 3 m from the pivot on one side; Zoya (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Kabir (320 N) sits 2 m from the pivot on one side; Zoya (320 N) sits ? 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 30 cm from the fulcrum. The effort is 210 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 480
  2. 320
  3. 3
  4. 100
  5. turning effects match
  6. 70
  7. 1
  8. 40
  9. 170
  10. 2
  11. 20
  12. 400
  13. 3
  14. 260
  15. 130
  16. 50
  17. 80
  18. 140
  19. 490
  20. 240
  21. 520
  22. 540
  23. closer to the pivot
  24. 640
  25. 480
  26. 800
  27. 250
  28. 420
  29. 4
  30. 200
  31. distance from fulcrum
  32. 40
  33. 340
  34. 400
  35. 20
  36. 120
  37. 1
  38. 170
  39. 2
  40. 630

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