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 80 N at ? cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 2.⚖️ 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?
- 3.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
- 4.⚖️ A lever bar balances. The load is 200 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 5.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 6.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
- 7.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) time taken (d) colour of bar
- 8.⚖️ A seesaw balances. Kabir (130 N) sits 2 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Ravi (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A lever bar balances. The load is 300 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 lever bar balances. The load is 60 N at 50 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?
- 12.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A seesaw balances. Kabir (390 N) sits 3 m from the pivot on one side; Asha (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A lever bar balances. The load is 210 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?
- 15.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 16.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 18.⚖️ A seesaw balances. Ravi (320 N) sits 4 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?
- 19.⚖️ A seesaw balances. Kabir (480 N) sits 3 m from the pivot on one side; Arjun (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A seesaw balances. Kabir (440 N) sits 2 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?
- 21.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 90 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 22.⚖️ A seesaw balances. Arjun (280 N) sits 3 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?
- 23.⚖️ A lever bar balances. The load is 500 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?
- 24.⚖️ A seesaw balances. Asha (200 N) sits 4 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 25.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Ravi (760 N) sits ? m from the pivot on one side; Arjun (190 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A seesaw balances. Kabir (600 N) sits ? m from the pivot on one side; Zoya (150 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A lever bar balances. The load is 480 N at 10 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?
- 29.⚖️ A seesaw balances. Ravi (440 N) sits ? m from the pivot on one side; Asha (110 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 30.⚖️ A seesaw balances. Ravi (400 N) sits 3 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 31.⚖️ 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?
- 32.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Ravi (720 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Zoya (100 N) sits 4 m from the pivot on one side; Kabir (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A seesaw balances. Kabir (300 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?
- 35.⚖️ A seesaw balances. Ravi (240 N) sits 1 m from the pivot on one side; Zoya (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A seesaw balances. Kabir (760 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?
- 37.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A lever bar balances. The load is 900 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?
- 39.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (800 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 10
- 50
- turning effects match
- 40
- 50
- closer to the pivot
- distance from fulcrum
- 260
- 3
- 400
- 100
- 1
- 3
- 70
- 20
- 360
- 100
- 640
- 4
- 220
- 30
- 420
- 50
- 400
- 180
- 1
- 1
- 80
- 1
- 4
- 60
- 4
- 1
- 150
- 2
- 190
- 170
- 100
- 500
- 800
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