Engineering Worksheet: Lever Balance
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.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 2.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 3.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Meena (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A seesaw balances. Kabir (330 N) sits 3 m from the pivot on one side; Meena (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) on the pivot (d) anywhere
- 6.⚖️ A seesaw balances. Asha (400 N) sits 4 m from the pivot on one side; Zoya (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) time taken (d) colour of bar
- 8.⚖️ A seesaw balances. Meena (120 N) sits 4 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?
- 9.⚖️ 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?
- 10.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 12.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
- 13.⚖️ 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?
- 14.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 16.⚖️ A seesaw balances. Asha (100 N) sits 2 m from the pivot on one side; Zoya (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Meena (100 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Ravi (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 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.⚖️ 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?
- 21.⚖️ 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?
- 22.⚖️ A seesaw balances. Ravi (520 N) sits ? m from the pivot on one side; Zoya (390 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A lever bar balances. The load is 300 N at 10 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?
- 24.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A lever bar balances. The load is 90 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?
- 26.⚖️ A lever bar balances. The load is 60 N at 50 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 27.⚖️ A seesaw balances. Meena (200 N) sits 4 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.⚖️ A lever bar balances. The load is 560 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?
- 29.⚖️ A seesaw balances. Ravi (360 N) sits 1 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Kabir (? 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?
- 31.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 32.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 33.⚖️ A seesaw balances. Asha (330 N) sits ? m from the pivot on one side; Zoya (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ A seesaw balances. Arjun (190 N) sits ? m from the pivot on one side; Asha (570 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A seesaw balances. Meena (220 N) sits ? m from the pivot on one side; Arjun (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 39.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 40.⚖️ A seesaw balances. Kabir (520 N) sits 4 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?
Answer key
- 140
- 80
- 280
- 3
- closer to the pivot
- 4
- distance from fulcrum
- 1
- 20
- 30
- 560
- turning effects match
- 80
- 1000
- 320
- 1
- 1
- 110
- 300
- 10
- 300
- 3
- 60
- 480
- 50
- 150
- 400
- 140
- 120
- 400
- 700
- 80
- 3
- 200
- 3
- 1
- 90
- 150
- 40
- 520
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