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 lever bar balances. The load is 810 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 2.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (560 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 3.⚖️ A seesaw balances. Meena (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?
- 4.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (220 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
- 6.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 210 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 7.⚖️ A lever bar balances. The load is 120 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?
- 8.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 80 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 50 cm from the fulcrum. The effort is 450 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 10.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
- 11.⚖️ A lever bar balances. The load is 800 N at 30 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?
- 12.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (640 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 13.⚖️ A lever bar balances. The load is 450 N at 30 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?
- 14.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 15.⚖️ A seesaw balances. Meena (180 N) sits 3 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?
- 16.⚖️ A seesaw balances. Ravi (600 N) sits 1 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A seesaw balances. Asha (120 N) sits 2 m from the pivot on one side; Zoya (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Ravi (100 N) sits 3 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?
- 19.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
- 20.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 150 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A seesaw balances. Ravi (450 N) sits 1 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ 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?
- 23.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (760 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A lever bar balances. The load is 900 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A seesaw balances. Kabir (600 N) sits ? m from the pivot on one side; Meena (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A seesaw balances. Meena (760 N) sits 4 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?
- 27.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 29.⚖️ A lever bar balances. The load is 640 N at ? cm from the fulcrum. The effort is 240 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 30.⚖️ A seesaw balances. Zoya (300 N) sits ? m from the pivot on one side; Arjun (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 31.⚖️ A seesaw balances. Asha (480 N) sits 4 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?
- 32.⚖️ A lever bar balances. The load is 1000 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?
- 33.⚖️ A seesaw balances. Ravi (220 N) sits 1 m from the pivot on one side; Zoya (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A seesaw balances. Arjun (200 N) sits 1 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?
- 35.⚖️ A lever bar balances. The load is 540 N at 40 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 36.⚖️ A seesaw balances. Kabir (360 N) sits 2 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?
- 37.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ A lever bar balances. The load is 240 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?
- 39.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A lever bar balances. The load is 140 N at 20 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?
Answer key
- 90
- 560
- 3
- 440
- closer to the pivot
- 30
- 30
- 80
- 720
- turning effects match
- 240
- 320
- 150
- 20
- 540
- 200
- 1
- 300
- distance from fulcrum
- 50
- 150
- 20
- 760
- 90
- 1
- 760
- 20
- 400
- 30
- 2
- 640
- 100
- 2
- 100
- 90
- 360
- 300
- 90
- 2
- 70
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