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 (400 N) sits 1 m from the pivot on one side; Arjun (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 3.⚖️ A seesaw balances. Meena (120 N) sits 4 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?
- 4.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
- 5.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 6.⚖️ A seesaw balances. Arjun (720 N) sits ? m from the pivot on one side; Asha (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ A lever bar balances. The load is 250 N at ? cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 8.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 10.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 11.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Arjun (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 12.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 90 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A seesaw balances. Asha (220 N) sits ? m from the pivot on one side; Zoya (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A seesaw balances. Asha (680 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 15.⚖️ A seesaw balances. Asha (360 N) sits 2 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 17.⚖️ A seesaw balances. Meena (520 N) sits ? m from the pivot on one side; Zoya (260 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) farther from the pivot (d) anywhere
- 20.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 21.⚖️ A seesaw balances. Zoya (130 N) sits ? m from the pivot on one side; Arjun (390 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
- 23.⚖️ A seesaw balances. Asha (200 N) sits 1 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A seesaw balances. Kabir (110 N) sits 2 m from the pivot on one side; Meena (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 70 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 28.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 70 N at 90 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 20 cm from the fulcrum. The effort is 160 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 180 N at ? cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 31.⚖️ A seesaw balances. Ravi (680 N) sits 4 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?
- 32.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 100 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 33.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (440 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 60 N at 30 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 36.⚖️ A seesaw balances. Arjun (130 N) sits 1 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?
- 37.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ A seesaw balances. Arjun (200 N) sits ? m from the pivot on one side; Meena (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A lever bar balances. The load is 180 N at 30 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?
- 40.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 140 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
Answer key
- 2
- 50
- 480
- turning effects match
- 300
- 2
- 20
- 170
- 720
- 480
- 480
- 10
- 1
- 680
- 360
- 480
- 2
- 40
- closer to the pivot
- 180
- 3
- distance from fulcrum
- 100
- 30
- 1
- 170
- 10
- 10
- 240
- 20
- 680
- 10
- 110
- 30
- 200
- 130
- 270
- 1
- 90
- 20
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