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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 659 · 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. Arjun (130 N) sits ? m from the pivot on one side; Zoya (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (160 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Kabir (110 N) sits 2 m from the pivot on one side; Zoya (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Ravi (320 N) sits 3 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?
  5. 5.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
  6. 6.⚖️ A seesaw balances. Ravi (600 N) sits 1 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is 160 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?
  10. 10.⚖️ A seesaw balances. Zoya (600 N) sits 1 m from the pivot on one side; Meena (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Kabir (420 N) sits 1 m from the pivot on one side; Zoya (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (560 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Arjun (240 N) sits 3 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?
  14. 14.⚖️ A seesaw balances. Zoya (? 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?
  15. 15.⚖️ A seesaw balances. Meena (520 N) sits ? m from the pivot on one side; Asha (520 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is 600 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?
  17. 17.⚖️ A seesaw balances. Arjun (760 N) sits ? m from the pivot on one side; Meena (570 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 800 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Asha (600 N) sits 1 m from the pivot on one side; Arjun (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Meena (520 N) sits 2 m from the pivot on one side; Ravi (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Kabir (240 N) sits 4 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (160 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Asha (320 N) sits 2 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  27. 27.⚖️ A seesaw balances. Arjun (720 N) sits ? m from the pivot on one side; Meena (720 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Asha (360 N) sits 1 m from the pivot on one side; Ravi (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Zoya (340 N) sits 3 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 10 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Ravi (170 N) sits 1 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?
  34. 34.⚖️ A seesaw balances. Arjun (? 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?
  35. 35.⚖️ A seesaw balances. Arjun (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?
  36. 36.⚖️ 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?
  37. 37.⚖️ A seesaw balances. Ravi (200 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?
  38. 38.⚖️ A seesaw balances. Ravi (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?
  39. 39.⚖️ A seesaw balances. Ravi (110 N) sits 1 m from the pivot on one side; Arjun (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Ravi (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 2
  2. 160
  3. 1
  4. 480
  5. turning effects match
  6. 200
  7. 360
  8. 900
  9. 40
  10. 3
  11. 3
  12. 420
  13. 2
  14. 180
  15. 4
  16. 180
  17. 3
  18. 100
  19. 4
  20. 4
  21. 160
  22. 480
  23. 100
  24. 320
  25. 320
  26. closer to the pivot
  27. 4
  28. 2
  29. 510
  30. 640
  31. 160
  32. 10
  33. 170
  34. 100
  35. 110
  36. 320
  37. 600
  38. 3
  39. 1
  40. 260

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