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.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) closer to the pivot (d) anywhere
- 2.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
- 3.⚖️ A seesaw balances. Kabir (560 N) sits ? m from the pivot on one side; Meena (560 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ 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?
- 5.⚖️ A seesaw balances. Ravi (480 N) sits 3 m from the pivot on one side; Meena (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ A seesaw balances. Ravi (200 N) sits 4 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?
- 7.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 300 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 8.⚖️ A seesaw balances. Kabir (360 N) sits ? m from the pivot on one side; Ravi (180 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ A seesaw balances. Ravi (440 N) sits 1 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?
- 10.⚖️ A lever bar balances. The load is 140 N at 50 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?
- 11.⚖️ A seesaw balances. Meena (160 N) sits 4 m from the pivot on one side; Arjun (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
- 13.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (180 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 14.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 250 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 15.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 16.⚖️ A seesaw balances. Kabir (390 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A lever bar balances. The load is 150 N at 10 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?
- 19.⚖️ A lever bar balances. The load is 360 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?
- 20.⚖️ A lever bar balances. The load is 300 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?
- 21.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (170 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 40 N at ? cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 24.⚖️ A lever bar balances. The load is 350 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A seesaw balances. Zoya (340 N) sits 4 m from the pivot on one side; Meena (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A lever bar balances. The load is 450 N at 30 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?
- 29.⚖️ A lever bar balances. The load is 150 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?
- 30.⚖️ A lever bar balances. The load is 350 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?
- 31.⚖️ A seesaw balances. Ravi (280 N) sits ? m from the pivot on one side; Arjun (420 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A seesaw balances. Asha (380 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?
- 34.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 35.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 70 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 36.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (160 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 37.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 38.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Arjun (320 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 40.⚖️ A lever bar balances. The load is 420 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?
Answer key
- closer to the pivot
- turning effects match
- 4
- 90
- 4
- 800
- 50
- 1
- 110
- 350
- 1
- distance from fulcrum
- 540
- 50
- 30
- 130
- 180
- 50
- 180
- 90
- 510
- 50
- 180
- 50
- 560
- 150
- 2
- 270
- 30
- 70
- 3
- 240
- 190
- 250
- 10
- 640
- 40
- 2
- 20
- 280
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