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.
NameDateTime takenScore ___ / 40
- 1.⚖️ A seesaw balances. Ravi (130 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?
- 2.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 280 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 3.⚖️ A seesaw balances. Arjun (570 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?
- 4.⚖️ 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?
- 5.⚖️ A seesaw balances. Kabir (140 N) sits 1 m from the pivot on one side; Meena (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ 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?
- 8.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) both weights are equal (d) the bar is short
- 9.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
- 11.⚖️ A seesaw balances. Arjun (440 N) sits 1 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?
- 12.⚖️ A seesaw balances. Kabir (170 N) sits 3 m from the pivot on one side; Zoya (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A seesaw balances. Kabir (150 N) sits 3 m from the pivot on one side; Asha (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A seesaw balances. Meena (680 N) sits 1 m from the pivot on one side; Arjun (170 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 800 N at 10 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?
- 16.⚖️ A lever bar balances. The load is 120 N at 20 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?
- 17.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Zoya (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ A seesaw balances. Zoya (150 N) sits ? m from the pivot on one side; Arjun (150 N) sits 1 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 20 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (100 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ A seesaw balances. Zoya (480 N) sits 2 m from the pivot on one side; Ravi (320 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 200 N at ? cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 24.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 25.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A lever bar balances. The load is 210 N at 10 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 lever bar balances. The load is 50 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A seesaw balances. Zoya (400 N) sits 2 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 500 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 30.⚖️ A seesaw balances. Kabir (560 N) sits 3 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?
- 31.⚖️ A seesaw balances. Asha (600 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?
- 32.⚖️ A seesaw balances. Zoya (150 N) sits 2 m from the pivot on one side; Asha (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A lever bar balances. The load is 720 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 34.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ A seesaw balances. Asha (240 N) sits 1 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?
- 36.⚖️ A seesaw balances. Ravi (380 N) sits ? m from the pivot on one side; Meena (570 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A seesaw balances. Arjun (110 N) sits ? m from the pivot on one side; Meena (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Zoya (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A seesaw balances. Asha (480 N) sits 1 m from the pivot on one side; Zoya (160 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 ? N at 20 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
Answer key
- 130
- 40
- 190
- 60
- 1
- 150
- 30
- turning effects match
- 390
- closer to the pivot
- 110
- 1
- 1
- 4
- 80
- 120
- 1
- 10
- 1
- 450
- 300
- 3
- 50
- 480
- 200
- 30
- 50
- 2
- 50
- 420
- 3
- 1
- 80
- 110
- 120
- 3
- 1
- 2
- 3
- 100
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