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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 406 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
  3. 3.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (150 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is 90 N at 50 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 250 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A lever bar balances. The load is 480 N at 40 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?
  10. 10.⚖️ A seesaw balances. Ravi (180 N) sits ? m from the pivot on one side; Meena (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Arjun (240 N) sits 1 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?
  12. 12.⚖️ A seesaw balances. Arjun (440 N) sits 3 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?
  13. 13.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  14. 14.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever bar balances. The load is 480 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever bar balances. The load is 500 N at 10 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Arjun (140 N) sits 3 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Kabir (450 N) sits ? m from the pivot on one side; Arjun (150 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Asha (190 N) sits ? m from the pivot on one side; Meena (190 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 280 N at 10 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (720 N) sits 4 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?
  24. 24.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ 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?
  27. 27.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Arjun (340 N) sits ? m from the pivot on one side; Asha (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Meena (300 N) sits 4 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?
  30. 30.⚖️ A seesaw balances. Meena (340 N) sits 4 m from the pivot on one side; Kabir (680 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 50 cm from the fulcrum. The effort is 50 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Kabir (200 N) sits 4 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (420 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Zoya (330 N) sits ? m from the pivot on one side; Ravi (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Asha (390 N) sits ? m from the pivot on one side; Ravi (520 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Kabir (100 N) sits 2 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?
  37. 37.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (380 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Kabir (720 N) sits 4 m from the pivot on one side; Ravi (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) mass of fulcrum (d) time taken
  40. 40.⚖️ A lever bar balances. The load is 250 N at ? cm from the fulcrum. The effort is 250 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 170
  2. closer to the pivot
  3. 810
  4. 300
  5. 240
  6. 90
  7. 50
  8. 420
  9. 240
  10. 1
  11. 120
  12. 330
  13. turning effects match
  14. 60
  15. 80
  16. 100
  17. 420
  18. 1
  19. 1
  20. 70
  21. 120
  22. 480
  23. 720
  24. 260
  25. 220
  26. 400
  27. 480
  28. 1
  29. 400
  30. 2
  31. 50
  32. 400
  33. 140
  34. 3
  35. 4
  36. 200
  37. 190
  38. 4
  39. distance from fulcrum
  40. 50

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