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 seesaw balances. Asha (200 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A seesaw balances. Kabir (300 N) sits 1 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 3.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
- 4.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 5.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Asha (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 7.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Zoya (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
- 9.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 11.⚖️ A lever bar balances. The load is 90 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?
- 12.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
- 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (120 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 17.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A seesaw balances. Zoya (280 N) sits 1 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?
- 19.⚖️ A seesaw balances. Kabir (100 N) sits 3 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 20.⚖️ A seesaw balances. Zoya (420 N) sits 4 m from the pivot on one side; Asha (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A seesaw balances. Meena (140 N) sits 1 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ A lever bar balances. The load is 90 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?
- 23.⚖️ A lever bar balances. The load is 180 N at 40 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?
- 24.⚖️ A seesaw balances. Asha (200 N) sits 1 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A seesaw balances. Asha (540 N) sits ? m from the pivot on one side; Kabir (540 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A lever bar balances. The load is 100 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?
- 27.⚖️ A seesaw balances. Kabir (540 N) sits 4 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?
- 28.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 29.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 30.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A seesaw balances. Meena (110 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?
- 32.⚖️ A lever bar balances. The load is 240 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?
- 33.⚖️ A seesaw balances. Arjun (120 N) sits 1 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A seesaw balances. Ravi (260 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?
- 35.⚖️ A seesaw balances. Meena (150 N) sits ? m from the pivot on one side; Zoya (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 37.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Arjun (330 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A lever bar balances. The load is 70 N at 40 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 39.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Ravi (640 N) sits ? m from the pivot on one side; Meena (320 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 1
- 150
- distance from fulcrum
- 30
- 2
- 10
- 1
- closer to the pivot
- 60
- 640
- 150
- 40
- turning effects match
- 80
- 240
- 800
- 510
- 140
- 300
- 3
- 140
- 120
- 90
- 1
- 3
- 20
- 720
- 360
- 210
- 360
- 1
- 60
- 120
- 2
- 2
- 560
- 440
- 40
- 200
- 2
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