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 150 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 2.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 3.⚖️ A seesaw balances. Meena (180 N) sits 2 m from the pivot on one side; Ravi (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ A seesaw balances. Ravi (120 N) sits 1 m from the pivot on one side; Asha (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
- 6.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Ravi (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ A seesaw balances. Kabir (400 N) sits 1 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A lever bar balances. The load is 180 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 9.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
- 10.⚖️ A lever bar balances. The load is 40 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?
- 11.⚖️ 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?
- 12.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 13.⚖️ A seesaw balances. Zoya (800 N) sits 3 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 14.⚖️ A seesaw balances. Asha (360 N) sits 3 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?
- 15.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 10 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 16.⚖️ A seesaw balances. Asha (300 N) sits ? m from the pivot on one side; Ravi (450 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Asha (190 N) sits ? m from the pivot on one side; Zoya (760 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A lever bar balances. The load is 180 N at 20 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
- 20.⚖️ A seesaw balances. Arjun (300 N) sits 4 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ A seesaw balances. Zoya (150 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?
- 23.⚖️ A lever bar balances. The load is 540 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 24.⚖️ A seesaw balances. Meena (360 N) sits 3 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A lever bar balances. The load is 240 N at 10 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?
- 26.⚖️ A lever bar balances. The load is 120 N at 20 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?
- 27.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 28.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 29.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (240 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A lever bar balances. The load is 270 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?
- 32.⚖️ A lever bar balances. The load is ? N at 50 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?
- 33.⚖️ A lever bar balances. The load is 540 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?
- 34.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ A lever bar balances. The load is 300 N at 20 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?
- 36.⚖️ A lever bar balances. The load is 600 N at 50 cm from the fulcrum. The effort is 500 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 37.⚖️ A seesaw balances. Asha (720 N) sits 1 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?
- 38.⚖️ A lever bar balances. The load is 630 N at 10 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?
- 39.⚖️ A lever bar balances. The load is 200 N at 20 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?
- 40.⚖️ A seesaw balances. Asha (140 N) sits 1 m from the pivot on one side; Meena (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 270
- 720
- 1
- 1
- distance from fulcrum
- 1
- 100
- 20
- turning effects match
- 20
- 80
- 60
- 600
- 540
- 10
- 3
- 4
- 30
- closer to the pivot
- 2
- 450
- 150
- 60
- 3
- 40
- 60
- 400
- 200
- 180
- 120
- 150
- 240
- 300
- 220
- 200
- 60
- 180
- 70
- 40
- 1
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