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. Zoya (? N) sits 1 m from the pivot on one side; Meena (140 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Meena (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 3.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Arjun (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 5.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 6.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
- 7.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Zoya (450 N) sits 3 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?
- 9.⚖️ A seesaw balances. Meena (800 N) sits ? m from the pivot on one side; Kabir (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A lever bar balances. The load is 40 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
- 12.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (520 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 120 N at 20 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?
- 14.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
- 15.⚖️ A seesaw balances. Ravi (320 N) sits 4 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?
- 16.⚖️ A lever bar balances. The load is 90 N at 10 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?
- 17.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 18.⚖️ A seesaw balances. Kabir (300 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?
- 19.⚖️ A seesaw balances. Asha (130 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?
- 20.⚖️ A lever bar balances. The load is 270 N at 50 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?
- 21.⚖️ A lever bar balances. The load is 160 N at 30 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?
- 22.⚖️ A lever bar balances. The load is 90 N at 40 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 23.⚖️ A lever bar balances. The load is 800 N at 50 cm from the fulcrum. The effort is 500 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 240 N at 10 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?
- 25.⚖️ A lever bar balances. The load is 350 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?
- 26.⚖️ 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?
- 27.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (390 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 28.⚖️ A lever bar balances. The load is 300 N at 10 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?
- 29.⚖️ A lever bar balances. The load is ? N at 40 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?
- 30.⚖️ A lever bar balances. The load is 540 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?
- 31.⚖️ A lever bar balances. The load is 300 N at 50 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?
- 32.⚖️ A seesaw balances. Arjun (240 N) sits 2 m from the pivot on one side; Asha (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Arjun (800 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 35.⚖️ A seesaw balances. Kabir (150 N) sits 3 m from the pivot on one side; Zoya (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A lever bar balances. The load is 300 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?
- 37.⚖️ A seesaw balances. Ravi (190 N) sits 2 m from the pivot on one side; Kabir (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 39.⚖️ A lever bar balances. The load is 420 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 40.⚖️ A seesaw balances. Kabir (570 N) sits 3 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?
Answer key
- 140
- 3
- 2
- 760
- 50
- closer to the pivot
- 680
- 450
- 2
- 40
- turning effects match
- 390
- 120
- distance from fulcrum
- 640
- 30
- 10
- 100
- 390
- 150
- 60
- 30
- 80
- 80
- 70
- 100
- 390
- 30
- 60
- 90
- 300
- 2
- 800
- 4
- 1
- 20
- 1
- 640
- 60
- 570
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