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 (260 N) sits ? m from the pivot on one side; Arjun (130 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
- 3.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A lever bar balances. The load is 540 N at 50 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?
- 5.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Meena (130 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ A seesaw balances. Asha (190 N) sits 3 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
- 8.⚖️ A seesaw balances. Zoya (420 N) sits ? m from the pivot on one side; Ravi (560 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Meena (100 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A seesaw balances. Kabir (170 N) sits 3 m from the pivot on one side; Zoya (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A seesaw balances. Meena (130 N) sits ? m from the pivot on one side; Asha (130 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 13.⚖️ A lever bar balances. The load is 180 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?
- 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ A lever bar balances. The load is 20 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?
- 16.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (640 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 18.⚖️ A seesaw balances. Zoya (480 N) sits 1 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 20.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Meena (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A seesaw balances. Meena (600 N) sits 1 m from the pivot on one side; Arjun (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A seesaw balances. Asha (320 N) sits 2 m from the pivot on one side; Arjun (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A seesaw balances. Ravi (200 N) sits 2 m from the pivot on one side; Asha (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 80 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 20 cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 28.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 450 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 29.⚖️ A lever bar balances. The load is 120 N at 20 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?
- 30.⚖️ A seesaw balances. Kabir (360 N) sits 1 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
- 32.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (720 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A seesaw balances. Arjun (420 N) sits 1 m from the pivot on one side; Asha (140 N) sits ? 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 40 cm from the fulcrum. The effort is 280 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 35.⚖️ A lever bar balances. The load is 70 N at 40 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 36.⚖️ A seesaw balances. Arjun (440 N) sits 1 m from the pivot on one side; Asha (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ A seesaw balances. Arjun (220 N) sits ? m from the pivot on one side; Asha (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A lever bar balances. The load is 490 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 40.⚖️ A seesaw balances. Asha (480 N) sits 3 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 1
- closer to the pivot
- 540
- 450
- 1
- 570
- distance from fulcrum
- 4
- 1
- 1
- 1
- 200
- 20
- 200
- 50
- 480
- 280
- 120
- 70
- 80
- 1
- 3
- 2
- 2
- 720
- 40
- 320
- 50
- 80
- 120
- turning effects match
- 540
- 3
- 420
- 70
- 4
- 180
- 1
- 70
- 480
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