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.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
- 2.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) both weights are equal (d) turning effects match
- 3.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
- 4.⚖️ A lever bar balances. The load is 900 N at 30 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?
- 5.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 6.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Arjun (220 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ A seesaw balances. Meena (520 N) sits 1 m from the pivot on one side; Asha (130 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 100 N at ? cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 9.⚖️ A lever bar balances. The load is 60 N at 20 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?
- 10.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A seesaw balances. Ravi (170 N) sits 3 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A lever bar balances. The load is 180 N at 20 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?
- 13.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 14.⚖️ A lever bar balances. The load is 200 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?
- 15.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 17.⚖️ A seesaw balances. Ravi (160 N) sits 3 m from the pivot on one side; Meena (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Asha (180 N) sits 4 m from the pivot on one side; Kabir (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Meena (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 20.⚖️ A seesaw balances. Meena (340 N) sits ? m from the pivot on one side; Zoya (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 21.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (120 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A lever bar balances. The load is 450 N at 10 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 24.⚖️ A lever bar balances. The load is 80 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?
- 25.⚖️ A seesaw balances. Meena (540 N) sits 3 m from the pivot on one side; Zoya (540 N) sits ? 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 40 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 27.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 28.⚖️ A seesaw balances. Zoya (560 N) sits 4 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?
- 29.⚖️ A seesaw balances. Asha (120 N) sits ? m from the pivot on one side; Kabir (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 30.⚖️ A lever bar balances. The load is 250 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?
- 31.⚖️ A seesaw balances. Kabir (450 N) sits 4 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (520 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 33.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A lever bar balances. The load is 810 N at 30 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?
- 35.⚖️ A lever bar balances. The load is 700 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 36.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 37.⚖️ A lever bar balances. The load is 600 N at 40 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?
- 38.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 39.⚖️ A seesaw balances. Asha (130 N) sits 3 m from the pivot on one side; Kabir (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (140 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- distance from fulcrum
- turning effects match
- closer to the pivot
- 300
- 160
- 2
- 4
- 40
- 30
- 10
- 510
- 90
- 190
- 100
- 480
- 280
- 1
- 1
- 3
- 2
- 240
- 30
- 90
- 120
- 3
- 20
- 900
- 560
- 4
- 50
- 3
- 520
- 150
- 270
- 70
- 400
- 240
- 480
- 1
- 140
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