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 seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Meena (300 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A seesaw balances. Kabir (150 N) sits 4 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 3.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
- 4.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 10 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 5.⚖️ A seesaw balances. Meena (160 N) sits 4 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?
- 6.⚖️ A lever bar balances. The load is 40 N at 40 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?
- 7.⚖️ A lever bar balances. The load is 320 N at 50 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?
- 8.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Arjun (160 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Asha (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A lever bar balances. The load is 210 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?
- 11.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A lever bar balances. The load is 360 N at 30 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?
- 13.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 14.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
- 15.⚖️ A seesaw balances. Asha (380 N) sits 3 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (440 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A seesaw balances. Arjun (440 N) sits ? m from the pivot on one side; Zoya (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 19.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (150 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 20.⚖️ A seesaw balances. Zoya (600 N) sits 1 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A seesaw balances. Ravi (540 N) sits 4 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?
- 22.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Arjun (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 24.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
- 25.⚖️ A seesaw balances. Arjun (600 N) sits 1 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A lever bar balances. The load is 250 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?
- 27.⚖️ A lever bar balances. The load is 40 N at 30 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 seesaw balances. Ravi (320 N) sits ? m from the pivot on one side; Meena (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ 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?
- 32.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 33.⚖️ A seesaw balances. Arjun (160 N) sits 1 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?
- 34.⚖️ A lever bar balances. The load is 300 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?
- 35.⚖️ A lever bar balances. The load is 490 N at 20 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?
- 36.⚖️ A seesaw balances. Asha (420 N) sits 2 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?
- 37.⚖️ A lever bar balances. The load is 500 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 39.⚖️ A lever bar balances. The load is 480 N at 20 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?
- 40.⚖️ A seesaw balances. Zoya (380 N) sits ? m from the pivot on one side; Asha (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 3
- 1
- closer to the pivot
- 10
- 640
- 40
- 200
- 1
- 180
- 30
- 600
- 60
- 700
- distance from fulcrum
- 570
- 220
- 4
- 280
- 450
- 3
- 720
- 4
- 20
- turning effects match
- 3
- 50
- 30
- 2
- 180
- 200
- 200
- 20
- 160
- 50
- 140
- 280
- 100
- 90
- 120
- 2
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