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.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) on the pivot (d) farther from the pivot
- 2.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) colour of bar (d) time taken
- 3.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Ravi (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ A lever bar balances. The load is 240 N at 20 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?
- 5.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (190 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 6.⚖️ A lever bar balances. The load is 180 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?
- 7.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 8.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 9.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (340 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 11.⚖️ A seesaw balances. Meena (360 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A lever bar balances. The load is 80 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?
- 14.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) both weights are equal (d) turning effects match
- 15.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 300 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 17.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Meena (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Zoya (720 N) sits 1 m from the pivot on one side; Arjun (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 120 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 20.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ 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?
- 22.⚖️ A seesaw balances. Arjun (240 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?
- 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 24.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 25.⚖️ A seesaw balances. Ravi (800 N) sits 4 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Zoya (340 N) sits 4 m from the pivot on one side; Asha (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 140 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A lever bar balances. The load is 150 N at 40 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 29.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Ravi (100 N) sits 3 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?
- 31.⚖️ A seesaw balances. Asha (150 N) sits 4 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?
- 32.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A seesaw balances. Zoya (110 N) sits 1 m from the pivot on one side; Arjun (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 20 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A seesaw balances. Asha (200 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?
- 36.⚖️ A lever bar balances. The load is 500 N at 20 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?
- 37.⚖️ A lever bar balances. The load is 280 N at 50 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?
- 38.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 39.⚖️ A lever bar balances. The load is 40 N at 30 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?
- 40.⚖️ A lever bar balances. The load is 700 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- closer to the pivot
- distance from fulcrum
- 4
- 80
- 760
- 10
- 700
- 140
- 400
- 510
- 2
- 20
- 40
- turning effects match
- 420
- 30
- 1
- 4
- 30
- 250
- 1
- 120
- 560
- 330
- 800
- 2
- 20
- 30
- 240
- 300
- 1
- 110
- 1
- 10
- 1
- 200
- 200
- 100
- 30
- 100
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