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. Arjun (200 N) sits 1 m from the pivot on one side; Asha (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
- 3.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 4.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 180 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 5.⚖️ A seesaw balances. Ravi (400 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?
- 6.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the fulcrum moves (d) the bar is short
- 7.⚖️ A seesaw balances. Kabir (480 N) sits 1 m from the pivot on one side; Asha (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Kabir (560 N) sits 1 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Meena (110 N) sits 3 m from the pivot on one side; Zoya (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A seesaw balances. Arjun (200 N) sits 3 m from the pivot on one side; Ravi (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A lever bar balances. The load is 90 N at 10 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?
- 13.⚖️ A seesaw balances. Meena (200 N) sits 3 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?
- 14.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) distance from fulcrum (d) mass of fulcrum
- 15.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (800 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Kabir (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Arjun (320 N) sits 4 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A lever bar balances. The load is 50 N at 20 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ A seesaw balances. Meena (800 N) sits ? m from the pivot on one side; Asha (600 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A seesaw balances. Asha (200 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?
- 22.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (380 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A lever bar balances. The load is 120 N at 30 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?
- 24.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A seesaw balances. Kabir (150 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?
- 26.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 27.⚖️ A lever bar balances. The load is 240 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?
- 28.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 29.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Kabir (160 N) sits ? m from the pivot on one side; Asha (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 31.⚖️ A seesaw balances. Meena (560 N) sits 2 m from the pivot on one side; Ravi (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Zoya (380 N) sits ? m from the pivot on one side; Arjun (760 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Ravi (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A seesaw balances. Arjun (100 N) sits 3 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?
- 35.⚖️ A seesaw balances. Arjun (180 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A seesaw balances. Arjun (380 N) sits 1 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?
- 37.⚖️ A seesaw balances. Ravi (240 N) sits 1 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A lever bar balances. The load is 80 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?
- 39.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A lever bar balances. The load is 900 N at 20 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?
Answer key
- 2
- closer to the pivot
- 240
- 20
- 100
- turning effects match
- 3
- 800
- 140
- 1
- 1
- 30
- 300
- distance from fulcrum
- 600
- 3
- 640
- 50
- 3
- 10
- 400
- 570
- 30
- 450
- 150
- 200
- 120
- 10
- 190
- 4
- 4
- 4
- 4
- 1
- 1
- 190
- 120
- 80
- 90
- 90
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