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. Asha (800 N) sits ? m from the pivot on one side; Arjun (800 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Kabir (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 3.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A seesaw balances. Arjun (570 N) sits 1 m from the pivot on one side; Meena (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ A seesaw balances. Arjun (200 N) sits 1 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 6.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
- 7.⚖️ A seesaw balances. Ravi (800 N) sits ? m from the pivot on one side; Kabir (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A lever bar balances. The load is 240 N at 50 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?
- 9.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Zoya (150 N) sits 2 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (440 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A seesaw balances. Asha (570 N) sits 1 m from the pivot on one side; Ravi (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 14.⚖️ A lever bar balances. The load is 400 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?
- 15.⚖️ A seesaw balances. Arjun (510 N) sits ? m from the pivot on one side; Kabir (340 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 70 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 17.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (720 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
- 20.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A lever bar balances. The load is ? N at 30 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?
- 22.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 280 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A lever bar balances. The load is 200 N at 10 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?
- 24.⚖️ A lever bar balances. The load is 160 N at 20 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?
- 25.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 26.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 500 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A seesaw balances. Kabir (? 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?
- 29.⚖️ A lever bar balances. The load is 250 N at 40 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 30.⚖️ 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?
- 31.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 32.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (520 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
- 34.⚖️ 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?
- 35.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A seesaw balances. Arjun (420 N) sits ? m from the pivot on one side; Kabir (420 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A seesaw balances. Kabir (520 N) sits 1 m from the pivot on one side; Ravi (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A lever bar balances. The load is 350 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?
- 39.⚖️ A seesaw balances. Kabir (800 N) sits ? m from the pivot on one side; Arjun (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
Answer key
- 4
- 2
- 220
- 3
- 200
- distance from fulcrum
- 1
- 400
- 720
- 1
- 440
- 3
- 90
- 250
- 2
- 10
- 100
- 540
- turning effects match
- 10
- 350
- 40
- 20
- 160
- 80
- 720
- 50
- 510
- 50
- 280
- 40
- 520
- closer to the pivot
- 100
- 640
- 3
- 4
- 50
- 1
- 280
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