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. Arjun (120 N) sits ? m from the pivot on one side; Ravi (120 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ 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?
- 3.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
- 4.⚖️ A seesaw balances. Meena (360 N) sits 4 m from the pivot on one side; Zoya (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ A seesaw balances. Asha (300 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?
- 6.⚖️ A lever bar balances. The load is 500 N at 40 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?
- 7.⚖️ A lever bar balances. The load is 600 N at 10 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?
- 8.⚖️ A seesaw balances. Arjun (760 N) sits ? m from the pivot on one side; Zoya (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 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. Ravi (570 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?
- 11.⚖️ A seesaw balances. Meena (420 N) sits 4 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?
- 12.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 13.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
- 14.⚖️ A lever bar balances. The load is 90 N at 10 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 15.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 16.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 17.⚖️ A seesaw balances. Asha (190 N) sits 4 m from the pivot on one side; Zoya (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Asha (360 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A lever bar balances. The load is 1000 N at 40 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?
- 20.⚖️ A lever bar balances. The load is 120 N at 10 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?
- 21.⚖️ A lever bar balances. The load is 300 N at 10 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 22.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 40 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 24.⚖️ A seesaw balances. Asha (200 N) sits 2 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
- 26.⚖️ A lever bar balances. The load is 60 N at 20 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. Arjun (? N) sits 2 m from the pivot on one side; Kabir (300 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 ? N at 20 cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 29.⚖️ A lever bar balances. The load is 60 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?
- 30.⚖️ A seesaw balances. Meena (? N) sits 3 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?
- 31.⚖️ A seesaw balances. Arjun (360 N) sits 2 m from the pivot on one side; Asha (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Asha (160 N) sits 3 m from the pivot on one side; Kabir (480 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 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 34.⚖️ A seesaw balances. Zoya (190 N) sits 4 m from the pivot on one side; Asha (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 35.⚖️ A seesaw balances. Kabir (340 N) sits 2 m from the pivot on one side; Zoya (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 40 N at 50 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 10 cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 39.⚖️ A seesaw balances. Asha (130 N) sits ? m from the pivot on one side; Zoya (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Zoya (280 N) sits 4 m from the pivot on one side; Arjun (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 1
- 30
- turning effects match
- 2
- 3
- 50
- 60
- 4
- 30
- 3
- 560
- 160
- distance from fulcrum
- 30
- 20
- 40
- 1
- 180
- 100
- 30
- 30
- 50
- 10
- 1
- closer to the pivot
- 60
- 300
- 240
- 60
- 120
- 3
- 1
- 500
- 1
- 2
- 20
- 320
- 180
- 2
- 2
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