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 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?
- 2.⚖️ A seesaw balances. Ravi (300 N) sits 2 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?
- 3.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Asha (160 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ A lever bar balances. The load is 20 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?
- 5.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 6.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Asha (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 320 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 8.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 9.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 10.⚖️ A seesaw balances. Asha (540 N) sits 1 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?
- 11.⚖️ A seesaw balances. Ravi (680 N) sits 4 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
- 13.⚖️ A lever bar balances. The load is 630 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?
- 14.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (150 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 15.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
- 16.⚖️ A seesaw balances. Ravi (190 N) sits 2 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A seesaw balances. Ravi (240 N) sits 2 m from the pivot on one side; Asha (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Arjun (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 20.⚖️ A seesaw balances. Asha (560 N) sits 2 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 21.⚖️ A lever bar balances. The load is 350 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?
- 22.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (260 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 ? N at 10 cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A seesaw balances. Zoya (190 N) sits ? m from the pivot on one side; Kabir (760 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A lever bar balances. The load is 270 N at 20 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 27.⚖️ A seesaw balances. Meena (100 N) sits 1 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 28.⚖️ A seesaw balances. Asha (240 N) sits 2 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 29.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 32.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
- 33.⚖️ A seesaw balances. Ravi (760 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?
- 34.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (570 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ A seesaw balances. Asha (180 N) sits 2 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?
- 36.⚖️ A seesaw balances. Zoya (220 N) sits 1 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 37.⚖️ A seesaw balances. Arjun (120 N) sits 2 m from the pivot on one side; Kabir (240 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 180 N at ? cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 39.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 40.⚖️ A lever bar balances. The load is 240 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- 400
- 200
- 1
- 20
- 160
- 2
- 40
- 10
- 720
- 180
- 680
- turning effects match
- 70
- 300
- closer to the pivot
- 380
- 2
- 2
- 280
- 280
- 70
- 10
- 260
- 560
- 4
- 90
- 100
- 240
- 240
- 400
- 50
- distance from fulcrum
- 4
- 190
- 360
- 110
- 1
- 20
- 190
- 40
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