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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 325 · 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 ? N at 20 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is 300 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?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) on the pivot (d) farther from the pivot
  4. 4.⚖️ A lever bar balances. The load is 160 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?
  5. 5.⚖️ A lever bar balances. The load is 210 N at 40 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?
  6. 6.⚖️ A seesaw balances. Kabir (760 N) sits 2 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?
  7. 7.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the bar is short (d) the fulcrum moves
  8. 8.⚖️ A seesaw balances. Ravi (200 N) sits 3 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Asha (440 N) sits 3 m from the pivot on one side; Arjun (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Ravi (640 N) sits 1 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?
  11. 11.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  12. 12.⚖️ 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?
  13. 13.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Zoya (640 N) sits 1 m from the pivot on one side; Arjun (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Kabir (190 N) sits 3 m from the pivot on one side; Zoya (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 160 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Zoya (220 N) sits ? m from the pivot on one side; Asha (220 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 20 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?
  22. 22.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Arjun (450 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Zoya (190 N) sits 2 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?
  25. 25.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 500 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Ravi (130 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Kabir (170 N) sits 2 m from the pivot on one side; Meena (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Zoya (420 N) sits ? m from the pivot on one side; Asha (280 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Asha (720 N) sits ? m from the pivot on one side; Arjun (720 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 630 N at 50 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?
  31. 31.⚖️ A lever bar balances. The load is 450 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Meena (480 N) sits 1 m from the pivot on one side; Arjun (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Meena (360 N) sits 4 m from the pivot on one side; Arjun (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Asha (600 N) sits 1 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?
  36. 36.⚖️ A seesaw balances. Ravi (640 N) sits ? m from the pivot on one side; Arjun (160 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Zoya (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (120 N) sits 3 m from the pivot on one side; Ravi (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (440 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 80
  2. 400
  3. closer to the pivot
  4. 30
  5. 70
  6. 380
  7. turning effects match
  8. 1
  9. 4
  10. 160
  11. distance from fulcrum
  12. 300
  13. 20
  14. 400
  15. 4
  16. 1
  17. 40
  18. 2
  19. 500
  20. 10
  21. 20
  22. 3
  23. 400
  24. 380
  25. 50
  26. 1
  27. 1
  28. 2
  29. 4
  30. 350
  31. 90
  32. 240
  33. 4
  34. 2
  35. 150
  36. 1
  37. 260
  38. 1
  39. 1
  40. 440

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