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. Arjun (110 N) sits 1 m from the pivot on one side; Ravi (110 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 300 N at ? cm from the fulcrum. The effort is 250 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 3.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
- 4.⚖️ A seesaw balances. Kabir (380 N) sits 3 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?
- 5.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 270 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 6.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
- 7.⚖️ A seesaw balances. Kabir (720 N) sits ? m from the pivot on one side; Zoya (180 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A lever bar balances. The load is 40 N at 50 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 9.⚖️ A seesaw balances. Ravi (440 N) sits 1 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A lever bar balances. The load is 280 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A lever bar balances. The load is 120 N at 30 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 12.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
- 13.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 20 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 14.⚖️ A seesaw balances. Asha (480 N) sits 2 m from the pivot on one side; Ravi (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 16.⚖️ A seesaw balances. Ravi (300 N) sits 2 m from the pivot on one side; Zoya (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ A seesaw balances. Meena (600 N) sits 1 m from the pivot on one side; Arjun (150 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 120 N at ? cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A seesaw balances. Asha (380 N) sits 1 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Ravi (260 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?
- 24.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 25.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (100 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ A seesaw balances. Kabir (450 N) sits 1 m from the pivot on one side; Ravi (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A seesaw balances. Meena (680 N) sits 2 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 28.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 240 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 29.⚖️ A lever bar balances. The load is 630 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?
- 30.⚖️ A seesaw balances. Meena (180 N) sits 2 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?
- 31.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 32.⚖️ A seesaw balances. Kabir (540 N) sits 1 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 35.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 36.⚖️ A seesaw balances. Asha (800 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 37.⚖️ A seesaw balances. Asha (160 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?
- 38.⚖️ A seesaw balances. Ravi (600 N) sits 3 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?
- 39.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (450 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 40.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 240 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- 1
- 50
- turning effects match
- 570
- 30
- closer to the pivot
- 1
- 50
- 110
- 70
- 60
- distance from fulcrum
- 20
- 4
- 160
- 3
- 200
- 30
- 4
- 20
- 190
- 180
- 520
- 420
- 300
- 3
- 340
- 30
- 70
- 360
- 450
- 180
- 540
- 120
- 800
- 600
- 160
- 450
- 600
- 40
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