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 lever bar balances. The load is 80 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?
- 2.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 450 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 3.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A lever bar balances. The load is 210 N at 20 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?
- 5.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
- 6.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
- 7.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A lever bar balances. The load is 280 N at 20 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?
- 10.⚖️ 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?
- 11.⚖️ A seesaw balances. Meena (420 N) sits ? m from the pivot on one side; Zoya (140 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 12.⚖️ 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?
- 13.⚖️ A lever bar balances. The load is 270 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?
- 14.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 15.⚖️ A seesaw balances. Kabir (600 N) sits ? m from the pivot on one side; Ravi (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ A seesaw balances. Kabir (800 N) sits 2 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (340 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (160 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) on the pivot (d) anywhere
- 20.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 21.⚖️ A seesaw balances. Arjun (200 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?
- 22.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Ravi (140 N) sits ? m from the pivot on one side; Kabir (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A seesaw balances. Asha (570 N) sits 4 m from the pivot on one side; Arjun (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A seesaw balances. Asha (120 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?
- 26.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 28.⚖️ A lever bar balances. The load is 320 N at 10 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 29.⚖️ A lever bar balances. The load is 180 N at 40 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?
- 30.⚖️ A seesaw balances. Arjun (720 N) sits 4 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A seesaw balances. Meena (380 N) sits 3 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?
- 32.⚖️ A seesaw balances. Asha (120 N) sits 1 m from the pivot on one side; Arjun (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Meena (130 N) sits ? m from the pivot on one side; Zoya (390 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 35.⚖️ 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?
- 36.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 37.⚖️ A seesaw balances. Arjun (140 N) sits 4 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?
- 38.⚖️ A lever bar balances. The load is 120 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?
- 39.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Arjun (140 N) sits 4 m from the pivot on one side; Asha (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 40
- 50
- 480
- 140
- distance from fulcrum
- turning effects match
- 110
- 100
- 140
- 10
- 1
- 10
- 270
- 20
- 2
- 4
- 680
- 640
- closer to the pivot
- 480
- 600
- 720
- 1
- 3
- 240
- 400
- 240
- 40
- 120
- 720
- 570
- 1
- 3
- 360
- 30
- 330
- 560
- 60
- 300
- 1
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