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 balances when … (a) turning effects match (b) the fulcrum moves (c) the bar is short (d) both weights are equal
- 2.⚖️ A lever bar balances. The load is 500 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?
- 3.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
- 4.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
- 5.⚖️ A seesaw balances. Ravi (260 N) sits 4 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?
- 6.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Asha (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Ravi (110 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?
- 9.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 10.⚖️ A lever bar balances. The load is 540 N at 40 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?
- 11.⚖️ A seesaw balances. Meena (240 N) sits 2 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?
- 12.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Meena (110 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A seesaw balances. Asha (120 N) sits 3 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?
- 15.⚖️ A lever bar balances. The load is 150 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?
- 16.⚖️ A lever bar balances. The load is 360 N at 20 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?
- 17.⚖️ A lever bar balances. The load is 300 N at 10 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?
- 18.⚖️ A lever bar balances. The load is 200 N at 30 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 20.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A lever bar balances. The load is 360 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?
- 22.⚖️ A seesaw balances. Arjun (450 N) sits 1 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Kabir (300 N) sits 4 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Arjun (240 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Meena (520 N) sits ? m from the pivot on one side; Arjun (520 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A lever bar balances. The load is 490 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?
- 28.⚖️ A lever bar balances. The load is 200 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?
- 29.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Ravi (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 31.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 32.⚖️ A lever bar balances. The load is 180 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 33.⚖️ 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?
- 34.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 35.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 36.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 37.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Asha (800 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A lever bar balances. The load is 500 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?
- 39.⚖️ A lever bar balances. The load is 100 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?
- 40.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- turning effects match
- 150
- distance from fulcrum
- closer to the pivot
- 520
- 1
- 640
- 1
- 90
- 360
- 240
- 10
- 1
- 360
- 250
- 120
- 60
- 20
- 200
- 50
- 90
- 150
- 400
- 2
- 360
- 4
- 70
- 20
- 320
- 500
- 180
- 20
- 240
- 270
- 30
- 340
- 4
- 200
- 20
- 20
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