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.
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- 1.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the fulcrum moves (d) the bar is short
- 2.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 3.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 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 ? N at 20 cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 5.⚖️ A seesaw balances. Asha (180 N) sits 1 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 6.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 8.⚖️ A seesaw balances. Meena (240 N) sits 4 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?
- 9.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Ravi (100 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A seesaw balances. Kabir (340 N) sits 4 m from the pivot on one side; Meena (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A seesaw balances. Ravi (150 N) sits ? m from the pivot on one side; Zoya (450 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A seesaw balances. Asha (300 N) sits 1 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 14.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 50 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 15.⚖️ A seesaw balances. Asha (520 N) sits 3 m from the pivot on one side; Ravi (390 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 160 N at 20 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?
- 17.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (100 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 ? N at 50 cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 19.⚖️ A seesaw balances. Kabir (450 N) sits 4 m from the pivot on one side; Zoya (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A seesaw balances. Kabir (330 N) sits ? m from the pivot on one side; Arjun (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 22.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
- 23.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
- 24.⚖️ A lever bar balances. The load is 320 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?
- 25.⚖️ A lever bar balances. The load is 80 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?
- 26.⚖️ 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?
- 27.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Kabir (680 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 29.⚖️ 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?
- 30.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (100 N) sits 2 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 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?
- 32.⚖️ A lever bar balances. The load is 100 N at 10 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?
- 33.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (380 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 360 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?
- 35.⚖️ A seesaw balances. Arjun (200 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?
- 36.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 37.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ A lever bar balances. The load is 30 N at 50 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 39.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 40.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- turning effects match
- 80
- 180
- 300
- 180
- 600
- 480
- 480
- 1
- 2
- 3
- 10
- 100
- 50
- 4
- 80
- 100
- 60
- 3
- 3
- 40
- distance from fulcrum
- closer to the pivot
- 10
- 20
- 160
- 4
- 200
- 4
- 200
- 320
- 10
- 570
- 450
- 1
- 540
- 90
- 30
- 10
- 20
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