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 (760 N) sits ? m from the pivot on one side; Asha (190 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 150 N at 20 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?
- 3.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
- 4.⚖️ A seesaw balances. Asha (570 N) sits 2 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 5.⚖️ A lever bar balances. The load is 60 N at 40 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?
- 6.⚖️ A lever bar balances. The load is 800 N at 20 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 7.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
- 8.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 9.⚖️ A lever bar balances. The load is 500 N at 30 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 10.⚖️ A seesaw balances. Zoya (200 N) sits ? m from the pivot on one side; Meena (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (100 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 13.⚖️ A seesaw balances. Kabir (170 N) sits ? m from the pivot on one side; Ravi (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 15.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (140 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Zoya (200 N) sits 3 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 20 cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 18.⚖️ A seesaw balances. Zoya (180 N) sits 1 m from the pivot on one side; Asha (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A seesaw balances. Zoya (600 N) sits 2 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 21.⚖️ A seesaw balances. Ravi (640 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?
- 22.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 23.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 24.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 150 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
- 26.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (520 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A seesaw balances. Kabir (300 N) sits 1 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?
- 28.⚖️ A lever bar balances. The load is 300 N at 10 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?
- 29.⚖️ A seesaw balances. Asha (450 N) sits ? m from the pivot on one side; Zoya (450 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 30.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A lever bar balances. The load is 160 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?
- 32.⚖️ A seesaw balances. Ravi (680 N) sits 3 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?
- 33.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (510 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 480 N at 10 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 36.⚖️ A lever bar balances. The load is 120 N at 30 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?
- 37.⚖️ A lever bar balances. The load is 210 N at 40 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?
- 38.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 39.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Meena (300 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?
Answer key
- 1
- 30
- turning effects match
- 380
- 60
- 80
- closer to the pivot
- 450
- 300
- 2
- 400
- 240
- 3
- 330
- 140
- 2
- 100
- 1
- 3
- 480
- 480
- 240
- 300
- 50
- distance from fulcrum
- 390
- 150
- 100
- 3
- 520
- 240
- 510
- 510
- 60
- 400
- 90
- 120
- 300
- 700
- 2
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