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 balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
- 2.⚖️ A seesaw balances. Kabir (190 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?
- 3.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) colour of bar (d) time taken
- 4.⚖️ A seesaw balances. Meena (300 N) sits 1 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 5.⚖️ A seesaw balances. Zoya (260 N) sits 2 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?
- 6.⚖️ A lever bar balances. The load is 70 N at 20 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?
- 7.⚖️ A seesaw balances. Ravi (450 N) sits ? m from the pivot on one side; Zoya (150 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
- 9.⚖️ 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?
- 10.⚖️ A seesaw balances. Asha (420 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?
- 11.⚖️ A lever bar balances. The load is 100 N at 30 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?
- 12.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 13.⚖️ A seesaw balances. Kabir (680 N) sits 1 m from the pivot on one side; Ravi (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A seesaw balances. Kabir (400 N) sits 2 m from the pivot on one side; Meena (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 150 N at ? cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 16.⚖️ A seesaw balances. Asha (330 N) sits 1 m from the pivot on one side; Ravi (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A lever bar balances. The load is 540 N at 50 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?
- 18.⚖️ A seesaw balances. Meena (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?
- 19.⚖️ A lever bar balances. The load is 600 N at 40 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?
- 20.⚖️ A seesaw balances. Arjun (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?
- 21.⚖️ A seesaw balances. Asha (110 N) sits 3 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?
- 22.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Ravi (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A seesaw balances. Kabir (380 N) sits 1 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A lever bar balances. The load is 600 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?
- 25.⚖️ A seesaw balances. Asha (160 N) sits 2 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Arjun (110 N) sits ? m from the pivot on one side; Ravi (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A seesaw balances. Asha (140 N) sits 4 m from the pivot on one side; Kabir (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (330 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 29.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 30.⚖️ 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?
- 31.⚖️ A seesaw balances. Meena (560 N) sits ? m from the pivot on one side; Kabir (140 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Meena (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Ravi (220 N) sits ? m from the pivot on one side; Zoya (440 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 500 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A seesaw balances. Asha (600 N) sits 1 m from the pivot on one side; Zoya (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A seesaw balances. Asha (480 N) sits 2 m from the pivot on one side; Ravi (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A seesaw balances. Asha (640 N) sits 2 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A seesaw balances. Ravi (480 N) sits 2 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?
- 39.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Ravi (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 40.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- turning effects match
- 760
- distance from fulcrum
- 100
- 260
- 20
- 1
- closer to the pivot
- 140
- 140
- 60
- 540
- 4
- 2
- 20
- 3
- 450
- 1
- 240
- 800
- 330
- 4
- 190
- 60
- 320
- 1
- 1
- 220
- 20
- 40
- 1
- 4
- 4
- 50
- 4
- 4
- 320
- 240
- 600
- 30
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