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. Kabir (? N) sits 4 m from the pivot on one side; Arjun (560 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) farther from the pivot (d) closer to the pivot
- 3.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 80 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 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 5.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 6.⚖️ A lever bar balances. The load is 450 N at 10 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?
- 7.⚖️ A seesaw balances. Asha (320 N) sits ? m from the pivot on one side; Meena (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
- 9.⚖️ A lever bar balances. The load is 80 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?
- 10.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (380 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A seesaw balances. Kabir (130 N) sits ? m from the pivot on one side; Arjun (390 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A seesaw balances. Arjun (640 N) sits 1 m from the pivot on one side; Asha (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 140 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 15.⚖️ A seesaw balances. Zoya (390 N) sits ? m from the pivot on one side; Ravi (130 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A seesaw balances. Meena (120 N) sits 3 m from the pivot on one side; Arjun (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Ravi (560 N) sits ? m from the pivot on one side; Zoya (140 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A seesaw balances. Asha (120 N) sits ? m from the pivot on one side; Zoya (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 350 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 22.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Asha (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A seesaw balances. Meena (380 N) sits 4 m from the pivot on one side; Asha (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A seesaw balances. Kabir (110 N) sits ? m from the pivot on one side; Asha (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 27.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A lever bar balances. The load is 450 N at 20 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?
- 29.⚖️ A seesaw balances. Zoya (? 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?
- 30.⚖️ A seesaw balances. Zoya (520 N) sits 2 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?
- 31.⚖️ A seesaw balances. Ravi (220 N) sits 1 m from the pivot on one side; Zoya (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Zoya (680 N) sits 3 m from the pivot on one side; Arjun (? 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 350 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?
- 34.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 180 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A lever bar balances. The load is 150 N at 50 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 36.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 37.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A seesaw balances. Kabir (110 N) sits 4 m from the pivot on one side; Zoya (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 270 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- 560
- closer to the pivot
- 320
- 240
- 480
- 90
- 1
- distance from fulcrum
- 80
- 10
- 380
- 3
- 4
- 20
- 1
- 720
- 1
- 1
- 4
- 720
- 50
- 2
- 2
- 210
- 1
- 480
- 40
- 180
- 510
- 260
- 2
- 510
- 210
- 30
- 50
- 240
- 110
- 1
- 90
- 30
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