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. Zoya (150 N) sits 4 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 3.⚖️ A seesaw balances. Meena (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?
- 4.⚖️ A seesaw balances. Zoya (480 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?
- 5.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the fulcrum moves (d) the bar is short
- 6.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
- 7.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Meena (600 N) sits 4 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (720 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (720 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A seesaw balances. Ravi (600 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 13.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
- 14.⚖️ 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?
- 15.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (760 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A seesaw balances. Kabir (180 N) sits ? m from the pivot on one side; Asha (540 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A lever bar balances. The load is ? N at 20 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?
- 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 270 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A seesaw balances. Asha (220 N) sits ? m from the pivot on one side; Meena (220 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A lever bar balances. The load is 120 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 24.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A lever bar balances. The load is 600 N at 10 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 26.⚖️ A lever bar balances. The load is 250 N at 50 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?
- 27.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (100 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 28.⚖️ A seesaw balances. Kabir (480 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?
- 29.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (510 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 31.⚖️ A seesaw balances. Ravi (400 N) sits 4 m from the pivot on one side; Kabir (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Asha (300 N) sits 2 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Asha (220 N) sits ? m from the pivot on one side; Meena (330 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 35.⚖️ A lever bar balances. The load is 200 N at 30 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?
- 36.⚖️ A seesaw balances. Ravi (130 N) sits 3 m from the pivot on one side; Arjun (390 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 100 N at ? cm from the fulcrum. The effort is 100 N at 20 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 50 cm from the fulcrum. The effort is 400 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 ? N at 50 cm from the fulcrum. The effort is 100 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Kabir (200 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 1
- 40
- 1
- 480
- turning effects match
- closer to the pivot
- 300
- 600
- 360
- 50
- 540
- 200
- distance from fulcrum
- 40
- 360
- 760
- 3
- 500
- 70
- 180
- 2
- 220
- 20
- 40
- 60
- 250
- 200
- 160
- 340
- 40
- 2
- 2
- 3
- 2
- 100
- 1
- 20
- 400
- 60
- 1
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