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. Asha (420 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
- 3.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
- 4.⚖️ A lever bar balances. The load is 100 N at 30 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?
- 5.⚖️ A lever bar balances. The load is 100 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 6.⚖️ A seesaw balances. Asha (150 N) sits 1 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
- 8.⚖️ A seesaw balances. Meena (110 N) sits 4 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?
- 9.⚖️ 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?
- 10.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 11.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (390 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A lever bar balances. The load is 540 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?
- 13.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 14.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Ravi (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 16.⚖️ A seesaw balances. Meena (600 N) sits ? m from the pivot on one side; Asha (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Meena (? N) sits 2 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?
- 18.⚖️ A seesaw balances. Zoya (110 N) sits 3 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?
- 19.⚖️ A lever bar balances. The load is 150 N at 10 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?
- 20.⚖️ 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?
- 21.⚖️ A seesaw balances. Asha (240 N) sits 3 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?
- 22.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A seesaw balances. Ravi (110 N) sits 3 m from the pivot on one side; Kabir (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A seesaw balances. Zoya (600 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?
- 26.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Asha (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Meena (540 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A seesaw balances. Meena (190 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?
- 29.⚖️ A lever bar balances. The load is 210 N at 30 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?
- 30.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 31.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 32.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 33.⚖️ A seesaw balances. Kabir (510 N) sits ? m from the pivot on one side; Meena (680 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A seesaw balances. Ravi (600 N) sits 4 m from the pivot on one side; Zoya (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 35.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 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 120 N at 40 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?
- 37.⚖️ 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?
- 38.⚖️ A lever bar balances. The load is ? N at 10 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?
- 39.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Kabir (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 3
- turning effects match
- distance from fulcrum
- 150
- 20
- 150
- closer to the pivot
- 440
- 10
- 900
- 520
- 60
- 120
- 3
- 200
- 1
- 360
- 330
- 30
- 40
- 2
- 4
- 1
- 60
- 150
- 100
- 3
- 190
- 90
- 20
- 30
- 300
- 4
- 3
- 90
- 160
- 10
- 160
- 4
- 520
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