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 900 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 2.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
- 3.⚖️ A lever bar balances. The load is 450 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?
- 4.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 5.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
- 6.⚖️ A lever bar balances. The load is 200 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?
- 7.⚖️ A seesaw balances. Zoya (600 N) sits 4 m from the pivot on one side; Asha (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 9.⚖️ A seesaw balances. Asha (400 N) sits 4 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 11.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Zoya (640 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 180 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 16.⚖️ A lever bar balances. The load is 270 N at 10 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 17.⚖️ A seesaw balances. Kabir (720 N) sits 1 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 19.⚖️ A seesaw balances. Meena (560 N) sits ? m from the pivot on one side; Zoya (420 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A seesaw balances. Asha (480 N) sits 2 m from the pivot on one side; Ravi (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Asha (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 23.⚖️ A lever bar balances. The load is 160 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?
- 24.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (220 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 26.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
- 27.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 28.⚖️ A seesaw balances. Arjun (100 N) sits 1 m from the pivot on one side; Asha (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A lever bar balances. The load is 540 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 30.⚖️ A lever bar balances. The load is 560 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 31.⚖️ A seesaw balances. Zoya (100 N) sits 3 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?
- 32.⚖️ A seesaw balances. Arjun (130 N) sits 1 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?
- 33.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 34.⚖️ 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?
- 35.⚖️ A seesaw balances. Meena (720 N) sits 2 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?
- 36.⚖️ A seesaw balances. Kabir (760 N) sits 2 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?
- 37.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (570 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 140 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?
- 39.⚖️ A lever bar balances. The load is 300 N at 30 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?
- 40.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (110 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 100
- turning effects match
- 90
- 50
- distance from fulcrum
- 100
- 3
- 240
- 4
- 900
- 4
- 30
- 50
- 360
- 50
- 30
- 180
- 630
- 3
- 4
- 1
- 720
- 120
- 80
- 220
- closer to the pivot
- 680
- 1
- 60
- 80
- 300
- 130
- 160
- 240
- 360
- 380
- 190
- 50
- 90
- 440
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