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. Asha (480 N) sits 3 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ A seesaw balances. Ravi (160 N) sits 3 m from the pivot on one side; Asha (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 3.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) colour of bar (d) time taken
- 4.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
- 5.⚖️ A lever bar balances. The load is 140 N at 40 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?
- 6.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 7.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 30 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 8.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Arjun (380 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 11.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 12.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 13.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 14.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (520 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 15.⚖️ A seesaw balances. Meena (760 N) sits ? m from the pivot on one side; Kabir (570 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ A seesaw balances. Arjun (560 N) sits 4 m from the pivot on one side; Zoya (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
- 18.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 19.⚖️ A lever bar balances. The load is 30 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?
- 20.⚖️ A seesaw balances. Kabir (120 N) sits 4 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?
- 21.⚖️ A seesaw balances. Zoya (800 N) sits ? m from the pivot on one side; Ravi (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A seesaw balances. Zoya (520 N) sits ? m from the pivot on one side; Ravi (260 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A seesaw balances. Ravi (120 N) sits ? m from the pivot on one side; Arjun (120 N) sits 1 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 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 25.⚖️ A seesaw balances. Ravi (720 N) sits 1 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?
- 26.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A seesaw balances. Ravi (560 N) sits 1 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?
- 28.⚖️ A seesaw balances. Arjun (170 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?
- 29.⚖️ A lever bar balances. The load is 100 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?
- 30.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 32.⚖️ A lever bar balances. The load is 180 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?
- 33.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 70 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 50 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?
- 35.⚖️ A seesaw balances. Asha (420 N) sits 4 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?
- 36.⚖️ A seesaw balances. Asha (130 N) sits 2 m from the pivot on one side; Ravi (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 38.⚖️ A lever bar balances. The load is 630 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 39.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 40.⚖️ A seesaw balances. Ravi (180 N) sits 1 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?
Answer key
- 360
- 1
- distance from fulcrum
- turning effects match
- 70
- 10
- 30
- 340
- 190
- 240
- 60
- 400
- 180
- 260
- 3
- 4
- closer to the pivot
- 60
- 20
- 1
- 1
- 2
- 1
- 500
- 180
- 480
- 140
- 680
- 80
- 420
- 800
- 60
- 350
- 200
- 560
- 1
- 10
- 90
- 300
- 180
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