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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 433 · 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 800 N at ? cm from the fulcrum. The effort is 500 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Arjun (570 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Meena (220 N) sits 2 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.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  6. 6.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) turning effects match (d) the bar is short
  7. 7.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (240 N) sits ? m from the pivot on one side; Meena (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Zoya (320 N) sits 3 m from the pivot on one side; Arjun (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 480 N at 20 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?
  12. 12.⚖️ A lever bar balances. The load is 100 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?
  13. 13.⚖️ A lever bar balances. The load is 810 N at 30 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?
  14. 14.⚖️ A lever bar balances. The load is 420 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 200 N at 40 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 450 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  21. 21.⚖️ A seesaw balances. Arjun (560 N) sits ? m from the pivot on one side; Meena (420 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 900 N at 10 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?
  23. 23.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Meena (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Meena (800 N) sits 2 m from the pivot on one side; Asha (400 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 320 N at 20 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (680 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Asha (220 N) sits 3 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?
  28. 28.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Meena (450 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Meena (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Arjun (130 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Meena (180 N) sits 3 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?
  32. 32.⚖️ A lever bar balances. The load is 640 N at ? cm from the fulcrum. The effort is 160 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Ravi (480 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?
  34. 34.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Meena (120 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 40 cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 240 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?
  38. 38.⚖️ A lever bar balances. The load is 180 N at 50 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?
  39. 39.⚖️ A seesaw balances. Kabir (130 N) sits 3 m from the pivot on one side; Zoya (390 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 500 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 50
  2. 190
  3. 60
  4. 220
  5. distance from fulcrum
  6. turning effects match
  7. 510
  8. 360
  9. 3
  10. 2
  11. 120
  12. 20
  13. 270
  14. 70
  15. 100
  16. 240
  17. 200
  18. 360
  19. 50
  20. closer to the pivot
  21. 3
  22. 90
  23. 1
  24. 4
  25. 80
  26. 340
  27. 330
  28. 3
  29. 3
  30. 1
  31. 540
  32. 20
  33. 160
  34. 10
  35. 480
  36. 400
  37. 200
  38. 300
  39. 1
  40. 100

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