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 bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 2.⚖️ A seesaw balances. Zoya (110 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?
- 3.⚖️ A lever bar balances. The load is 80 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?
- 4.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 5.⚖️ A lever bar balances. The load is 300 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?
- 6.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (800 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Meena (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
- 9.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Asha (220 N) sits ? m from the pivot on one side; Ravi (440 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) time taken (d) distance from fulcrum
- 12.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A lever bar balances. The load is 150 N at 20 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?
- 14.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A lever bar balances. The load is 180 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?
- 17.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 18.⚖️ A lever bar balances. The load is 300 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?
- 19.⚖️ A lever bar balances. The load is 200 N at 20 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?
- 20.⚖️ A seesaw balances. Meena (520 N) sits 4 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 21.⚖️ A lever bar balances. The load is 60 N at 20 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 22.⚖️ 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?
- 23.⚖️ A seesaw balances. Kabir (400 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 seesaw balances. Asha (520 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?
- 25.⚖️ A seesaw balances. Zoya (360 N) sits 2 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) on the pivot (d) anywhere
- 27.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 29.⚖️ A seesaw balances. Kabir (440 N) sits 1 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?
- 30.⚖️ A lever bar balances. The load is 70 N at 40 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 31.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 32.⚖️ A seesaw balances. Asha (360 N) sits 1 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 34.⚖️ A seesaw balances. Zoya (390 N) sits 1 m from the pivot on one side; Arjun (130 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 50 cm from the fulcrum. The effort is 500 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A seesaw balances. Arjun (170 N) sits ? m from the pivot on one side; Kabir (680 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 90 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 38.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (680 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 39.⚖️ A seesaw balances. Meena (180 N) sits 2 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?
- 40.⚖️ A seesaw balances. Kabir (340 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?
Answer key
- 100
- 220
- 20
- 540
- 30
- 600
- 1
- turning effects match
- 560
- 4
- distance from fulcrum
- 30
- 60
- 80
- 100
- 20
- 50
- 300
- 100
- 520
- 20
- 500
- 200
- 4
- 240
- closer to the pivot
- 480
- 400
- 110
- 70
- 40
- 120
- 200
- 3
- 800
- 4
- 30
- 340
- 360
- 2
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