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. Zoya (? N) sits 1 m from the pivot on one side; Kabir (190 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ A seesaw balances. Meena (340 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?
- 3.⚖️ A lever bar balances. The load is 560 N at 10 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?
- 4.⚖️ A seesaw balances. Kabir (150 N) sits 3 m from the pivot on one side; Meena (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ A seesaw balances. Ravi (300 N) sits ? m from the pivot on one side; Kabir (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ A seesaw balances. Meena (480 N) sits 3 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) anywhere (d) on the pivot
- 8.⚖️ A seesaw balances. Arjun (100 N) sits ? m from the pivot on one side; Zoya (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ A seesaw balances. Arjun (400 N) sits 3 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Zoya (720 N) sits ? m from the pivot on one side; Kabir (720 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (560 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A lever bar balances. The load is 100 N at 20 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?
- 13.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Asha (480 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ 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?
- 16.⚖️ A seesaw balances. Meena (220 N) sits 2 m from the pivot on one side; Kabir (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Ravi (160 N) sits 3 m from the pivot on one side; Arjun (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Asha (800 N) sits 3 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A seesaw balances. Meena (340 N) sits 1 m from the pivot on one side; Kabir (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A seesaw balances. Zoya (190 N) sits ? m from the pivot on one side; Kabir (190 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 22.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
- 23.⚖️ A seesaw balances. Arjun (140 N) sits ? m from the pivot on one side; Ravi (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A seesaw balances. Arjun (420 N) sits 1 m from the pivot on one side; Meena (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 26.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 27.⚖️ 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?
- 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 29.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
- 30.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Arjun (640 N) sits 3 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 40 cm from the fulcrum. The effort is 320 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 32.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (140 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 34.⚖️ A seesaw balances. Zoya (800 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ A lever bar balances. The load is 270 N at 10 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A lever bar balances. The load is 720 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 37.⚖️ A lever bar balances. The load is 630 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?
- 38.⚖️ A lever bar balances. The load is 360 N at 50 cm from the fulcrum. The effort is 450 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 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?
- 40.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
Answer key
- 570
- 510
- 70
- 1
- 4
- 4
- closer to the pivot
- 1
- 300
- 4
- 560
- 20
- 3
- 140
- 30
- 2
- 1
- 600
- 2
- 1
- 900
- turning effects match
- 1
- 3
- 10
- 10
- 180
- 150
- distance from fulcrum
- 4
- 400
- 280
- 210
- 800
- 30
- 90
- 90
- 40
- 40
- 1000
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