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 (280 N) sits ? m from the pivot on one side; Kabir (140 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
- 3.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 4.⚖️ A lever bar balances. The load is 400 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?
- 5.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 6.⚖️ A lever bar balances. The load is 240 N at 40 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?
- 7.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 8.⚖️ A seesaw balances. Asha (100 N) sits ? m from the pivot on one side; Kabir (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) time taken (d) colour of bar
- 10.⚖️ A seesaw balances. Meena (160 N) sits 2 m from the pivot on one side; Kabir (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A seesaw balances. Arjun (600 N) sits 3 m from the pivot on one side; Asha (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A seesaw balances. Zoya (200 N) sits ? m from the pivot on one side; Asha (800 N) sits 1 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 10 cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 14.⚖️ A lever bar balances. The load is 60 N at 40 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?
- 15.⚖️ A seesaw balances. Zoya (220 N) sits 4 m from the pivot on one side; Asha (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ A seesaw balances. Ravi (800 N) sits 4 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?
- 17.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
- 18.⚖️ A seesaw balances. Meena (150 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?
- 19.⚖️ A seesaw balances. Kabir (220 N) sits 1 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 20.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A lever bar balances. The load is 180 N at 20 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?
- 22.⚖️ A seesaw balances. Asha (480 N) sits 3 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?
- 23.⚖️ A lever bar balances. The load is 120 N at 50 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?
- 24.⚖️ 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?
- 25.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A seesaw balances. Arjun (560 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?
- 28.⚖️ A seesaw balances. Ravi (360 N) sits 2 m from the pivot on one side; Asha (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A seesaw balances. Kabir (150 N) sits 4 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 31.⚖️ 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?
- 32.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 300 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 33.⚖️ A seesaw balances. Ravi (450 N) sits 4 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?
- 34.⚖️ A seesaw balances. Zoya (170 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?
- 35.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 36.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 37.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (540 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A seesaw balances. Zoya (180 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?
- 39.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Zoya (300 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Ravi (100 N) sits 3 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 1
- turning effects match
- 150
- 100
- 280
- 320
- 20
- 3
- distance from fulcrum
- 1
- 4
- 4
- 120
- 30
- 2
- 800
- closer to the pivot
- 450
- 110
- 40
- 20
- 3
- 60
- 400
- 320
- 170
- 560
- 2
- 600
- 160
- 160
- 50
- 600
- 170
- 160
- 1000
- 540
- 180
- 3
- 300
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