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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 445 · 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. Zoya (140 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?
  2. 2.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
  4. 4.⚖️ A seesaw balances. Asha (680 N) sits 1 m from the pivot on one side; Zoya (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 180 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Kabir (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (380 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) distance from fulcrum (d) mass of fulcrum
  12. 12.⚖️ A seesaw balances. Kabir (140 N) sits ? m from the pivot on one side; Zoya (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Arjun (140 N) sits ? m from the pivot on one side; Ravi (420 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 240 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Ravi (120 N) sits ? m from the pivot on one side; Arjun (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Meena (150 N) sits 2 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  19. 19.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 210 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (280 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 100 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Kabir (300 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?
  27. 27.⚖️ A seesaw balances. Asha (180 N) sits ? m from the pivot on one side; Zoya (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 300 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (560 N) sits 3 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Ravi (360 N) sits 3 m from the pivot on one side; Arjun (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Asha (100 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Asha (110 N) sits 4 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Arjun (110 N) sits 1 m from the pivot on one side; Ravi (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  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 lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Kabir (680 N) sits 4 m from the pivot on one side; Asha (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Ravi (440 N) sits 3 m from the pivot on one side; Asha (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Arjun (170 N) sits ? m from the pivot on one side; Zoya (170 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 280
  2. 320
  3. turning effects match
  4. 4
  5. 20
  6. 270
  7. 600
  8. 30
  9. 3
  10. 380
  11. distance from fulcrum
  12. 1
  13. 3
  14. 10
  15. 40
  16. 4
  17. 300
  18. closer to the pivot
  19. 30
  20. 350
  21. 240
  22. 140
  23. 20
  24. 240
  25. 190
  26. 300
  27. 1
  28. 30
  29. 480
  30. 420
  31. 2
  32. 10
  33. 1
  34. 440
  35. 1
  36. 320
  37. 80
  38. 4
  39. 4
  40. 1

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