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. Zoya (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ A lever bar balances. The load is 400 N at 40 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?
- 3.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
- 4.⚖️ A seesaw balances. Zoya (120 N) sits 2 m from the pivot on one side; Meena (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 6.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 7.⚖️ A lever bar balances. The load is 700 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?
- 8.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
- 9.⚖️ A lever bar balances. The load is 540 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 10.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
- 11.⚖️ A lever bar balances. The load is 480 N at 50 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 12.⚖️ A seesaw balances. Zoya (570 N) sits ? m from the pivot on one side; Arjun (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 14.⚖️ A seesaw balances. Zoya (100 N) sits 4 m from the pivot on one side; Asha (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A lever bar balances. The load is 160 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 17.⚖️ A seesaw balances. Kabir (450 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A lever bar balances. The load is 600 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?
- 19.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 20.⚖️ A seesaw balances. Arjun (640 N) sits ? m from the pivot on one side; Asha (640 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (190 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 270 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?
- 23.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Meena (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A seesaw balances. Zoya (360 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?
- 25.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Zoya (320 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?
- 27.⚖️ A seesaw balances. Meena (540 N) sits 3 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 28.⚖️ A seesaw balances. Ravi (570 N) sits ? m from the pivot on one side; Arjun (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 30.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 31.⚖️ A lever bar balances. The load is 30 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 32.⚖️ A seesaw balances. Meena (170 N) sits 1 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 34.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 35.⚖️ A lever bar balances. The load is 40 N at 20 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?
- 36.⚖️ A seesaw balances. Asha (320 N) sits ? m from the pivot on one side; Zoya (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A seesaw balances. Kabir (100 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?
- 38.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (560 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 39.⚖️ A seesaw balances. Ravi (760 N) sits 1 m from the pivot on one side; Arjun (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Zoya (100 N) sits 1 m from the pivot on one side; Ravi (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 110
- 320
- distance from fulcrum
- 1
- 80
- 400
- 400
- turning effects match
- 60
- closer to the pivot
- 60
- 4
- 10
- 1
- 40
- 100
- 150
- 120
- 30
- 4
- 190
- 30
- 4
- 3
- 240
- 160
- 540
- 4
- 140
- 1000
- 30
- 170
- 420
- 360
- 20
- 3
- 100
- 560
- 4
- 1
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