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. Arjun (? N) sits 2 m from the pivot on one side; Kabir (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ 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?
- 3.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 4.⚖️ A seesaw balances. Meena (570 N) sits 3 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. Asha (680 N) sits 3 m from the pivot on one side; Meena (510 N) sits ? 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) closer to the pivot (b) anywhere (c) farther from the pivot (d) on the pivot
- 7.⚖️ A seesaw balances. Arjun (320 N) sits 3 m from the pivot on one side; Kabir (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 9.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 10.⚖️ A lever bar balances. The load is 270 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?
- 11.⚖️ A seesaw balances. Meena (140 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?
- 12.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) distance from fulcrum (d) mass of fulcrum
- 13.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 14.⚖️ A seesaw balances. Asha (160 N) sits ? m from the pivot on one side; Ravi (320 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A seesaw balances. Zoya (220 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?
- 16.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 140 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 17.⚖️ A seesaw balances. Ravi (300 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?
- 18.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Arjun (720 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Zoya (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
- 22.⚖️ A seesaw balances. Ravi (100 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?
- 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 24.⚖️ A seesaw balances. Asha (100 N) sits ? m from the pivot on one side; Ravi (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 26.⚖️ A seesaw balances. Zoya (280 N) sits ? m from the pivot on one side; Meena (140 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A seesaw balances. Ravi (100 N) sits 1 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?
- 29.⚖️ A lever bar balances. The load is 400 N at 40 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?
- 30.⚖️ A seesaw balances. Meena (390 N) sits 2 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?
- 31.⚖️ A lever bar balances. The load is 30 N at 30 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?
- 32.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 33.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A seesaw balances. Arjun (260 N) sits 4 m from the pivot on one side; Meena (520 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 20 cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A seesaw balances. Meena (100 N) sits 2 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?
- 37.⚖️ A seesaw balances. Arjun (220 N) sits 2 m from the pivot on one side; Ravi (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A seesaw balances. Asha (560 N) sits 2 m from the pivot on one side; Zoya (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Arjun (540 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Ravi (330 N) sits ? m from the pivot on one side; Arjun (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 600
- 1
- 60
- 570
- 4
- closer to the pivot
- 2
- 90
- 360
- 360
- 140
- distance from fulcrum
- 300
- 2
- 2
- 20
- 200
- 4
- 2
- 160
- turning effects match
- 200
- 480
- 1
- 30
- 1
- 20
- 100
- 320
- 260
- 30
- 900
- 150
- 2
- 60
- 200
- 2
- 4
- 3
- 3
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