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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 139 · 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.

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  1. 1.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the fulcrum moves (d) the bar is short
  3. 3.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
  4. 4.⚖️ A seesaw balances. Kabir (570 N) sits 1 m from the pivot on one side; Arjun (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (220 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Ravi (160 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is 400 N at 10 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?
  8. 8.⚖️ A seesaw balances. Kabir (720 N) sits 4 m from the pivot on one side; Ravi (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  11. 11.⚖️ A lever bar balances. The load is 600 N at 20 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?
  12. 12.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 360 N at 50 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?
  15. 15.⚖️ A seesaw balances. Kabir (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?
  16. 16.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 300 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever bar balances. The load is 1000 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Zoya (340 N) sits ? m from the pivot on one side; Kabir (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 50 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (640 N) sits 3 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Zoya (510 N) sits ? m from the pivot on one side; Kabir (170 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 90 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?
  26. 26.⚖️ A seesaw balances. Zoya (120 N) sits 2 m from the pivot on one side; Ravi (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Kabir (420 N) sits 4 m from the pivot on one side; Arjun (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Asha (640 N) sits 4 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 lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Meena (300 N) sits 1 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?
  36. 36.⚖️ A lever bar balances. The load is 400 N at 30 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?
  37. 37.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Asha (360 N) sits 4 m from the pivot on one side; Ravi (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (160 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?
  40. 40.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 480
  2. turning effects match
  3. distance from fulcrum
  4. 3
  5. 110
  6. 160
  7. 50
  8. 4
  9. 400
  10. closer to the pivot
  11. 200
  12. 10
  13. 40
  14. 450
  15. 450
  16. 50
  17. 300
  18. 100
  19. 2
  20. 20
  21. 50
  22. 300
  23. 480
  24. 1
  25. 90
  26. 1
  27. 200
  28. 520
  29. 10
  30. 3
  31. 40
  32. 640
  33. 250
  34. 160
  35. 150
  36. 240
  37. 20
  38. 3
  39. 320
  40. 400

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