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.
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- 1.⚖️ A seesaw balances. Asha (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?
- 2.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 3.⚖️ A seesaw balances. Ravi (300 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
- 5.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 6.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 7.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Asha (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Asha (640 N) sits 2 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?
- 10.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 11.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 12.⚖️ A seesaw balances. Arjun (400 N) sits 1 m from the pivot on one side; Zoya (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 13.⚖️ A lever bar balances. The load is 120 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 14.⚖️ A lever bar balances. The load is 210 N at 50 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ A lever bar balances. The load is 280 N at 50 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?
- 16.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
- 17.⚖️ A seesaw balances. Arjun (420 N) sits 4 m from the pivot on one side; Meena (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A seesaw balances. Ravi (360 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
- 20.⚖️ 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?
- 21.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (160 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 22.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
- 23.⚖️ A lever bar balances. The load is 1000 N at 50 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?
- 24.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 300 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 180 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 26.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A seesaw balances. Meena (510 N) sits 4 m from the pivot on one side; Arjun (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 28.⚖️ A lever bar balances. The load is 320 N at 10 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?
- 29.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 30.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 31.⚖️ A seesaw balances. Zoya (450 N) sits 1 m from the pivot on one side; Kabir (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A lever bar balances. The load is 240 N at 20 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?
- 33.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 34.⚖️ A lever bar balances. The load is 630 N at 10 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 35.⚖️ A seesaw balances. Arjun (400 N) sits ? m from the pivot on one side; Zoya (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A seesaw balances. Ravi (200 N) sits 4 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 37.⚖️ A seesaw balances. Ravi (390 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?
- 38.⚖️ A seesaw balances. Zoya (240 N) sits 2 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?
- 39.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Asha (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 680
- 260
- 100
- closer to the pivot
- 80
- 200
- 760
- 640
- 320
- 800
- 40
- 4
- 30
- 150
- 350
- 160
- 3
- 360
- turning effects match
- 20
- 320
- distance from fulcrum
- 500
- 30
- 20
- 160
- 3
- 80
- 260
- 10
- 3
- 80
- 20
- 90
- 4
- 800
- 3
- 240
- 60
- 1
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