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. Kabir (360 N) sits 4 m from the pivot on one side; Meena (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever bar balances. The load is 320 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?
- 3.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Kabir (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ 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?
- 5.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Arjun (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) closer to the pivot (d) anywhere
- 7.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Meena (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Ravi (440 N) sits 2 m from the pivot on one side; Asha (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
- 10.⚖️ A lever bar balances. The load is 100 N at 30 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?
- 11.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Meena (160 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 13.⚖️ A seesaw balances. Ravi (130 N) sits 3 m from the pivot on one side; Arjun (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A lever bar balances. The load is 400 N at 40 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?
- 15.⚖️ A lever bar balances. The load is 100 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?
- 16.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 17.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 70 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 18.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
- 20.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 270 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A lever bar balances. The load is 270 N at 50 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?
- 22.⚖️ A seesaw balances. Meena (540 N) sits ? m from the pivot on one side; Arjun (720 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A lever bar balances. The load is 420 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?
- 24.⚖️ A seesaw balances. Meena (400 N) sits 2 m from the pivot on one side; Arjun (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A lever bar balances. The load is 60 N at 50 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 26.⚖️ A seesaw balances. Asha (360 N) sits 2 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A lever bar balances. The load is 360 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A lever bar balances. The load is 210 N at 40 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 29.⚖️ A seesaw balances. Zoya (330 N) sits 3 m from the pivot on one side; Asha (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 30.⚖️ A seesaw balances. Arjun (120 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?
- 31.⚖️ A lever bar balances. The load is 60 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?
- 32.⚖️ A seesaw balances. Asha (100 N) sits 4 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A seesaw balances. Kabir (280 N) sits 2 m from the pivot on one side; Arjun (280 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 900 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A lever bar balances. The load is 270 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 36.⚖️ A seesaw balances. Zoya (440 N) sits 3 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?
- 37.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Ravi (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A seesaw balances. Ravi (380 N) sits 4 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?
- 39.⚖️ A seesaw balances. Meena (540 N) sits ? m from the pivot on one side; Asha (540 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Arjun (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 2
- 40
- 360
- 90
- 4
- closer to the pivot
- 260
- 4
- distance from fulcrum
- 30
- 1
- 630
- 1
- 400
- 100
- 210
- 10
- 400
- turning effects match
- 30
- 450
- 4
- 180
- 4
- 60
- 240
- 40
- 70
- 3
- 120
- 30
- 400
- 2
- 100
- 30
- 330
- 4
- 760
- 3
- 1
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