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 balances when … (a) the fulcrum moves (b) the bar is short (c) both weights are equal (d) turning effects match
- 2.⚖️ A lever bar balances. The load is 350 N at 40 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?
- 3.⚖️ A seesaw balances. Meena (130 N) sits 3 m from the pivot on one side; Arjun (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Zoya (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
- 6.⚖️ A seesaw balances. Zoya (480 N) sits 3 m from the pivot on one side; Ravi (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
- 8.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (340 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Asha (170 N) sits 4 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A lever bar balances. The load is 630 N at 40 cm from the fulcrum. The effort is 280 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A seesaw balances. Zoya (360 N) sits 3 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A seesaw balances. Kabir (540 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?
- 13.⚖️ A lever bar balances. The load is 400 N at 40 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?
- 14.⚖️ A seesaw balances. Ravi (150 N) sits ? m from the pivot on one side; Arjun (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 16.⚖️ A lever bar balances. The load is 150 N at 50 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?
- 17.⚖️ A seesaw balances. Ravi (760 N) sits 2 m from the pivot on one side; Zoya (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Zoya (300 N) sits 3 m from the pivot on one side; Kabir (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ 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?
- 20.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 21.⚖️ A seesaw balances. Arjun (140 N) sits 4 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?
- 22.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 20 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Asha (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A seesaw balances. Meena (? 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?
- 27.⚖️ A seesaw balances. Ravi (570 N) sits 1 m from the pivot on one side; Asha (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A seesaw balances. Asha (540 N) sits ? m from the pivot on one side; Zoya (540 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A seesaw balances. Meena (260 N) sits ? m from the pivot on one side; Kabir (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 31.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 70 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 32.⚖️ A seesaw balances. Kabir (240 N) sits 1 m from the pivot on one side; Zoya (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A lever bar balances. The load is 480 N at 20 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?
- 34.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 120 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A lever bar balances. The load is 630 N at 20 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 300 N at ? cm from the fulcrum. The effort is 200 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 37.⚖️ A seesaw balances. Asha (540 N) sits ? m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A seesaw balances. Ravi (570 N) sits ? m from the pivot on one side; Kabir (380 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Meena (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (110 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- turning effects match
- 70
- 1
- 4
- distance from fulcrum
- 3
- closer to the pivot
- 170
- 680
- 90
- 360
- 180
- 320
- 4
- 400
- 250
- 4
- 3
- 20
- 600
- 560
- 400
- 2
- 20
- 1
- 140
- 3
- 3
- 450
- 2
- 10
- 2
- 120
- 30
- 180
- 40
- 2
- 2
- 4
- 330
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