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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 63 · 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. Asha (? N) sits 4 m from the pivot on one side; Meena (480 N) sits 3 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) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
  3. 3.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Arjun (170 N) sits 4 m from the pivot on one side; Meena (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) both weights are equal (d) turning effects match
  6. 6.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 280 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 2 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 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?
  9. 9.⚖️ A seesaw balances. Meena (440 N) sits ? m from the pivot on one side; Zoya (220 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 400 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is 50 N at 40 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
  13. 13.⚖️ A seesaw balances. Kabir (390 N) sits 1 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 50 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?
  15. 15.⚖️ A lever bar balances. The load is 400 N at 30 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?
  16. 16.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Ravi (390 N) sits 4 m from the pivot on one side; Arjun (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Zoya (560 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (360 N) sits 2 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Ravi (190 N) sits 4 m from the pivot on one side; Asha (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Kabir (720 N) sits ? m from the pivot on one side; Meena (720 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Zoya (520 N) sits ? m from the pivot on one side; Asha (390 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 300 N at 50 cm from the fulcrum. The effort is 500 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A lever bar balances. The load is 120 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?
  26. 26.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Kabir (540 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 160 N at 50 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?
  29. 29.⚖️ A lever bar balances. The load is ? N at 10 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?
  30. 30.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Zoya (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Asha (450 N) sits 3 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?
  32. 32.⚖️ A seesaw balances. Kabir (720 N) sits 2 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Asha (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Ravi (640 N) sits ? m from the pivot on one side; Kabir (480 N) sits 4 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 (390 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is 60 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?
  38. 38.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (340 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 360
  2. closer to the pivot
  3. 450
  4. 1
  5. turning effects match
  6. 40
  7. 240
  8. 20
  9. 2
  10. 50
  11. 40
  12. distance from fulcrum
  13. 130
  14. 50
  15. 40
  16. 20
  17. 3
  18. 4
  19. 300
  20. 240
  21. 1
  22. 4
  23. 3
  24. 30
  25. 20
  26. 260
  27. 3
  28. 40
  29. 40
  30. 4
  31. 450
  32. 360
  33. 2
  34. 3
  35. 3
  36. 10
  37. 60
  38. 680
  39. 10
  40. 10

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