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.
NameDateTime takenScore ___ / 40
- 1.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
- 3.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A seesaw balances. Meena (720 N) sits 3 m from the pivot on one side; Zoya (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
- 6.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ A seesaw balances. Kabir (520 N) sits 4 m from the pivot on one side; Zoya (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 150 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 9.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 11.⚖️ A seesaw balances. Arjun (240 N) sits ? m from the pivot on one side; Ravi (120 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A seesaw balances. Zoya (800 N) sits 1 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (160 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 14.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ A seesaw balances. Zoya (480 N) sits 2 m from the pivot on one side; Meena (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ 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?
- 17.⚖️ A seesaw balances. Asha (120 N) sits 2 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?
- 18.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ A seesaw balances. Meena (450 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?
- 20.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
- 21.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (190 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Ravi (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A seesaw balances. Asha (220 N) sits 4 m from the pivot on one side; Ravi (440 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 270 N at 30 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?
- 26.⚖️ A lever bar balances. The load is 900 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 27.⚖️ A seesaw balances. Ravi (360 N) sits 4 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A seesaw balances. Kabir (100 N) sits 3 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?
- 29.⚖️ A seesaw balances. Asha (140 N) sits ? m from the pivot on one side; Arjun (560 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 30.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Zoya (240 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 31.⚖️ A seesaw balances. Ravi (140 N) sits 4 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?
- 32.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 500 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 33.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Arjun (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 35.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A lever bar balances. The load is 20 N at 10 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?
- 37.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A lever bar balances. The load is 400 N at 20 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?
- 39.⚖️ A lever bar balances. The load is 560 N at 20 cm from the fulcrum. The effort is 140 N at ? 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 50 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
Answer key
- 200
- distance from fulcrum
- 260
- 4
- turning effects match
- 150
- 4
- 30
- 190
- 480
- 1
- 4
- 320
- 90
- 4
- 350
- 240
- 40
- 150
- closer to the pivot
- 450
- 380
- 2
- 2
- 270
- 100
- 3
- 300
- 4
- 2
- 560
- 50
- 360
- 4
- 100
- 10
- 400
- 160
- 80
- 500
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