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 ? m from the pivot on one side; Ravi (140 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 3.⚖️ A seesaw balances. Arjun (510 N) sits 1 m from the pivot on one side; Kabir (? 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 10 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 5.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 6.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
- 7.⚖️ A lever bar balances. The load is 450 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 8.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
- 9.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Zoya (150 N) sits 3 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?
- 11.⚖️ A seesaw balances. Meena (520 N) sits ? m from the pivot on one side; Arjun (390 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A lever bar balances. The load is 810 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?
- 13.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
- 14.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 15.⚖️ A seesaw balances. Meena (390 N) sits 1 m from the pivot on one side; Kabir (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Meena (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 18.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Kabir (520 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 200 N at 50 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?
- 20.⚖️ A lever bar balances. The load is 360 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A lever bar balances. The load is 800 N at 30 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 22.⚖️ A seesaw balances. Ravi (680 N) sits 2 m from the pivot on one side; Arjun (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A lever bar balances. The load is 270 N at 50 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?
- 24.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A lever bar balances. The load is 120 N at 40 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?
- 26.⚖️ A lever bar balances. The load is 350 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?
- 27.⚖️ A seesaw balances. Meena (240 N) sits 4 m from the pivot on one side; Ravi (? 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 280 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?
- 29.⚖️ A seesaw balances. Kabir (260 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Arjun (760 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?
- 31.⚖️ A lever bar balances. The load is 600 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?
- 32.⚖️ A lever bar balances. The load is 120 N at 20 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?
- 33.⚖️ A seesaw balances. Zoya (540 N) sits ? m from the pivot on one side; Arjun (180 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 30 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A lever bar balances. The load is 210 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?
- 36.⚖️ A lever bar balances. The load is 900 N at 30 cm from the fulcrum. The effort is 300 N at ? 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 70 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 39.⚖️ A seesaw balances. Zoya (160 N) sits 4 m from the pivot on one side; Ravi (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A lever bar balances. The load is 360 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
- 1
- 400
- 170
- 600
- 60
- distance from fulcrum
- 50
- turning effects match
- 450
- 450
- 3
- 90
- closer to the pivot
- 280
- 3
- 3
- 30
- 130
- 50
- 90
- 300
- 4
- 90
- 20
- 80
- 150
- 480
- 210
- 260
- 4
- 500
- 80
- 1
- 10
- 30
- 90
- 350
- 40
- 1
- 40
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