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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 294 · 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 lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A seesaw balances. Arjun (120 N) sits ? m from the pivot on one side; Zoya (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
  4. 4.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  5. 5.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Arjun (120 N) sits 1 m from the pivot on one side; Asha (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Ravi (150 N) sits 3 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ 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?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  11. 11.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (570 N) sits ? m from the pivot on one side; Asha (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 120 N at 10 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Asha (240 N) sits 2 m from the pivot on one side; Kabir (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Arjun (240 N) sits 1 m from the pivot on one side; Kabir (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Ravi (760 N) sits ? m from the pivot on one side; Meena (190 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Ravi (180 N) sits 1 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?
  18. 18.⚖️ A seesaw balances. Arjun (100 N) sits ? m from the pivot on one side; Ravi (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Asha (170 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?
  20. 20.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 2 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 10 cm from the fulcrum. The effort is 10 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is 1000 N at 20 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Kabir (180 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?
  25. 25.⚖️ A lever bar balances. The load is 50 N at 20 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is 200 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 200 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A lever bar balances. The load is 400 N at 30 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?
  30. 30.⚖️ A lever bar balances. The load is ? N at 50 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?
  31. 31.⚖️ A lever bar balances. The load is 900 N at 50 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?
  32. 32.⚖️ A seesaw balances. Meena (100 N) sits 3 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 270 N at 40 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Asha (380 N) sits 2 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?
  35. 35.⚖️ A seesaw balances. Meena (680 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?
  36. 36.⚖️ A seesaw balances. Kabir (110 N) sits 2 m from the pivot on one side; Meena (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (390 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A lever bar balances. The load is 600 N at 50 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?
  39. 39.⚖️ A seesaw balances. Kabir (360 N) sits 4 m from the pivot on one side; Asha (480 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 90 N at ? cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 40
  2. 4
  3. turning effects match
  4. distance from fulcrum
  5. 10
  6. 20
  7. 1
  8. 450
  9. 20
  10. closer to the pivot
  11. 520
  12. 4
  13. 40
  14. 2
  15. 2
  16. 1
  17. 180
  18. 4
  19. 510
  20. 810
  21. 320
  22. 60
  23. 100
  24. 1
  25. 50
  26. 50
  27. 20
  28. 40
  29. 100
  30. 210
  31. 450
  32. 300
  33. 360
  34. 380
  35. 4
  36. 1
  37. 260
  38. 300
  39. 3
  40. 10

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