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 (600 N) sits ? m from the pivot on one side; Arjun (450 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever bar balances. The load is 320 N at 10 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?
- 3.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A seesaw balances. Zoya (390 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?
- 5.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Meena (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 6.⚖️ A seesaw balances. Kabir (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?
- 7.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
- 8.⚖️ A lever bar balances. The load is 160 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?
- 9.⚖️ A seesaw balances. Asha (420 N) sits 3 m from the pivot on one side; Zoya (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A seesaw balances. Kabir (440 N) sits 1 m from the pivot on one side; Asha (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 12.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
- 13.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
- 14.⚖️ A lever bar balances. The load is 40 N at 30 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?
- 15.⚖️ A seesaw balances. Zoya (340 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?
- 16.⚖️ A seesaw balances. Asha (200 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?
- 17.⚖️ A lever bar balances. The load is 500 N at 30 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 18.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 20.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 22.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Zoya (540 N) sits 3 m from the pivot on one side; Ravi (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A seesaw balances. Asha (140 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?
- 25.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 26.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 27.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A lever bar balances. The load is 60 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?
- 29.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (640 N) sits 3 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 40 cm from the fulcrum. The effort is 320 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 31.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 32.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Arjun (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A lever bar balances. The load is 700 N at 30 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?
- 34.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (150 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ A seesaw balances. Asha (480 N) sits 1 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?
- 36.⚖️ A seesaw balances. Arjun (110 N) sits 2 m from the pivot on one side; Kabir (220 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 150 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?
- 38.⚖️ A seesaw balances. Kabir (150 N) sits 2 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A seesaw balances. Ravi (190 N) sits 1 m from the pivot on one side; Zoya (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (190 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 3
- 80
- 120
- 130
- 4
- 3
- distance from fulcrum
- 80
- 3
- 4
- 40
- turning effects match
- closer to the pivot
- 60
- 170
- 400
- 150
- 100
- 110
- 20
- 490
- 180
- 3
- 280
- 630
- 10
- 20
- 30
- 480
- 320
- 680
- 800
- 70
- 600
- 120
- 1
- 50
- 1
- 1
- 570
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