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. Meena (400 N) sits 3 m from the pivot on one side; Zoya (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever bar balances. The load is 420 N at 40 cm from the fulcrum. The effort is 280 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 3.⚖️ A lever bar balances. The load is 180 N at 40 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?
- 4.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Kabir (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
- 6.⚖️ A lever bar balances. The load is 500 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 7.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 8.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Asha (? 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?
- 11.⚖️ A seesaw balances. Asha (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?
- 12.⚖️ A seesaw balances. Kabir (330 N) sits ? m from the pivot on one side; Asha (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
- 14.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) anywhere (d) on the pivot
- 15.⚖️ A seesaw balances. Kabir (480 N) sits 2 m from the pivot on one side; Zoya (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 17.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 18.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 20.⚖️ A lever bar balances. The load is 150 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?
- 21.⚖️ A seesaw balances. Kabir (180 N) sits 1 m from the pivot on one side; Arjun (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A lever bar balances. The load is 450 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (190 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 ? N at 20 cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Ravi (380 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A seesaw balances. Ravi (450 N) sits ? m from the pivot on one side; Kabir (450 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A lever bar balances. The load is 720 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?
- 28.⚖️ A seesaw balances. Arjun (540 N) sits 3 m from the pivot on one side; Ravi (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 10 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 31.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 32.⚖️ A seesaw balances. Meena (340 N) sits ? m from the pivot on one side; Kabir (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Ravi (300 N) sits ? m from the pivot on one side; Kabir (150 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 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 400 N at 40 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?
- 36.⚖️ A seesaw balances. Arjun (520 N) sits 2 m from the pivot on one side; Kabir (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (720 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A lever bar balances. The load is 560 N at 30 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?
- 39.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Arjun (400 N) sits 2 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 2
- 60
- 360
- 3
- distance from fulcrum
- 100
- 360
- 360
- 360
- 180
- 4
- 3
- turning effects match
- closer to the pivot
- 3
- 40
- 420
- 280
- 680
- 90
- 1
- 50
- 760
- 160
- 2
- 3
- 270
- 3
- 560
- 10
- 180
- 1
- 1
- 350
- 160
- 4
- 360
- 240
- 180
- 2
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