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. Meena (120 N) sits 2 m from the pivot on one side; Kabir (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A seesaw balances. Zoya (100 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?
- 3.⚖️ A seesaw balances. Asha (760 N) sits 1 m from the pivot on one side; Zoya (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ A seesaw balances. Kabir (380 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?
- 5.⚖️ A seesaw balances. Ravi (540 N) sits 3 m from the pivot on one side; Meena (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ A lever bar balances. The load is 630 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?
- 7.⚖️ A seesaw balances. Kabir (600 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?
- 8.⚖️ A lever bar balances. The load is 30 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?
- 9.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 10.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (560 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 11.⚖️ A seesaw balances. Asha (800 N) sits 4 m from the pivot on one side; Ravi (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
- 13.⚖️ A seesaw balances. Arjun (280 N) sits 3 m from the pivot on one side; Asha (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 15.⚖️ 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?
- 16.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
- 17.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 18.⚖️ A seesaw balances. Asha (150 N) sits 2 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) time taken (d) mass of fulcrum
- 20.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 21.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 22.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A seesaw balances. Kabir (390 N) sits 1 m from the pivot on one side; Arjun (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (800 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Meena (560 N) sits ? m from the pivot on one side; Asha (560 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ 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?
- 28.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 29.⚖️ A lever bar balances. The load is ? N at 40 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?
- 30.⚖️ A lever bar balances. The load is 500 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?
- 31.⚖️ A seesaw balances. Kabir (190 N) sits 3 m from the pivot on one side; Zoya (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Kabir (180 N) sits 3 m from the pivot on one side; Arjun (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 34.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (800 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A lever bar balances. The load is 90 N at 40 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 37.⚖️ 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?
- 38.⚖️ A lever bar balances. The load is 560 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 39.⚖️ A seesaw balances. Kabir (150 N) sits ? m from the pivot on one side; Arjun (150 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Ravi (120 N) sits ? m from the pivot on one side; Arjun (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 1
- 100
- 4
- 190
- 3
- 360
- 800
- 30
- 30
- 280
- 4
- turning effects match
- 2
- 240
- 60
- closer to the pivot
- 100
- 1
- distance from fulcrum
- 150
- 40
- 150
- 180
- 3
- 800
- 4
- 90
- 30
- 240
- 300
- 1
- 1
- 300
- 200
- 360
- 90
- 320
- 80
- 1
- 4
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