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 bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 2.⚖️ A seesaw balances. Kabir (720 N) sits ? m from the pivot on one side; Asha (180 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 3.⚖️ A lever bar balances. The load is 210 N at 30 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?
- 4.⚖️ A seesaw balances. Ravi (570 N) sits ? m from the pivot on one side; Meena (190 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
- 6.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 7.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is 500 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 8.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 9.⚖️ A seesaw balances. Kabir (330 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?
- 10.⚖️ A lever bar balances. The load is 600 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?
- 11.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
- 12.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 13.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) distance from fulcrum (d) mass of fulcrum
- 14.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 400 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 15.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Ravi (360 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 18.⚖️ A seesaw balances. Kabir (680 N) sits 3 m from the pivot on one side; Ravi (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (190 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 40 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A seesaw balances. Kabir (260 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?
- 25.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 26.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 27.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 240 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 270 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 300 N at ? cm from the fulcrum. The effort is 300 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 30.⚖️ A seesaw balances. Meena (800 N) sits ? m from the pivot on one side; Zoya (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 31.⚖️ 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?
- 32.⚖️ A lever bar balances. The load is 40 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?
- 33.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (720 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A seesaw balances. Asha (720 N) sits 4 m from the pivot on one side; Ravi (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 35.⚖️ A lever bar balances. The load is 700 N at 50 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 37.⚖️ A lever bar balances. The load is 100 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 38.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 39.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 40.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (380 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 160
- 1
- 210
- 1
- turning effects match
- 300
- 40
- 20
- 110
- 100
- closer to the pivot
- 130
- distance from fulcrum
- 40
- 150
- 2
- 600
- 4
- 190
- 60
- 240
- 10
- 120
- 130
- 640
- 20
- 30
- 30
- 50
- 1
- 30
- 20
- 720
- 4
- 500
- 90
- 100
- 10
- 600
- 570
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