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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 164 · 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 seesaw balances. Meena (520 N) sits 4 m from the pivot on one side; Kabir (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Ravi (380 N) sits 4 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?
  3. 3.⚖️ A seesaw balances. Asha (140 N) sits ? m from the pivot on one side; Kabir (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 210 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?
  6. 6.⚖️ A seesaw balances. Asha (280 N) sits 1 m from the pivot on one side; Ravi (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  8. 8.⚖️ A seesaw balances. Arjun (680 N) sits 2 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?
  9. 9.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever bar balances. The load is 800 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?
  11. 11.⚖️ A seesaw balances. Kabir (320 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?
  12. 12.⚖️ 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?
  13. 13.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Ravi (360 N) sits 3 m from the pivot on one side; Kabir (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 140 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Ravi (680 N) sits 1 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Kabir (380 N) sits ? m from the pivot on one side; Zoya (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) both weights are equal (d) the bar is short
  21. 21.⚖️ A lever bar balances. The load is 80 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Zoya (110 N) sits 1 m from the pivot on one side; Asha (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is 360 N at 40 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?
  24. 24.⚖️ 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?
  25. 25.⚖️ A lever bar balances. The load is 120 N at 30 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?
  26. 26.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 140 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Arjun (760 N) sits 2 m from the pivot on one side; Ravi (380 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 280 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?
  32. 32.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Meena (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
  35. 35.⚖️ A seesaw balances. Arjun (160 N) sits 3 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?
  36. 36.⚖️ A seesaw balances. Kabir (390 N) sits ? m from the pivot on one side; Zoya (390 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Zoya (480 N) sits 4 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?
  38. 38.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Asha (340 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Arjun (420 N) sits ? m from the pivot on one side; Zoya (420 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 4
  2. 760
  3. 1
  4. 200
  5. 280
  6. 2
  7. distance from fulcrum
  8. 340
  9. 30
  10. 80
  11. 160
  12. 400
  13. 120
  14. 220
  15. 2
  16. 20
  17. 170
  18. 20
  19. 2
  20. turning effects match
  21. 80
  22. 1
  23. 240
  24. 300
  25. 40
  26. 100
  27. 30
  28. 100
  29. 20
  30. 4
  31. 350
  32. 4
  33. 400
  34. closer to the pivot
  35. 1
  36. 3
  37. 640
  38. 10
  39. 170
  40. 3

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