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 (? N) sits 1 m from the pivot on one side; Meena (160 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ A seesaw balances. Zoya (320 N) sits ? m from the pivot on one side; Meena (640 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 3.⚖️ A seesaw balances. Ravi (200 N) sits 4 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (570 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 5.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
- 6.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Meena (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Asha (540 N) sits 4 m from the pivot on one side; Arjun (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 11.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) closer to the pivot (d) anywhere
- 12.⚖️ A seesaw balances. Ravi (160 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?
- 13.⚖️ A seesaw balances. Ravi (170 N) sits ? m from the pivot on one side; Zoya (170 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A seesaw balances. Ravi (150 N) sits 2 m from the pivot on one side; Kabir (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Arjun (100 N) sits 1 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A lever bar balances. The load is 160 N at 20 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?
- 18.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
- 19.⚖️ A seesaw balances. Kabir (190 N) sits 4 m from the pivot on one side; Meena (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A seesaw balances. Arjun (330 N) sits 3 m from the pivot on one side; Ravi (? 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 60 N at 10 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?
- 23.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 210 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (100 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 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?
- 27.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (570 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 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 280 N at 20 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 30.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 32.⚖️ 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?
- 33.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (400 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 300 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?
- 36.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 37.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 39.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 40.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 160
- 4
- 400
- 570
- distance from fulcrum
- 4
- 360
- 3
- 4
- 80
- closer to the pivot
- 1
- 1
- 1
- 400
- 100
- 80
- turning effects match
- 1
- 400
- 330
- 20
- 200
- 30
- 400
- 280
- 190
- 150
- 70
- 120
- 50
- 10
- 400
- 800
- 500
- 10
- 20
- 280
- 760
- 170
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