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 lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
- 2.⚖️ A seesaw balances. Asha (330 N) sits ? m from the pivot on one side; Zoya (220 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 3.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 4.⚖️ A seesaw balances. Ravi (110 N) sits ? m from the pivot on one side; Zoya (330 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 5.⚖️ A seesaw balances. Ravi (120 N) sits 3 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?
- 6.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (330 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ A lever bar balances. The load is 70 N at 30 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?
- 8.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (390 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Asha (340 N) sits 4 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?
- 10.⚖️ A seesaw balances. Kabir (510 N) sits 1 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 11.⚖️ A lever bar balances. The load is 420 N at 20 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?
- 12.⚖️ A lever bar balances. The load is 540 N at 10 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?
- 13.⚖️ A seesaw balances. Arjun (760 N) sits 2 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?
- 14.⚖️ A lever bar balances. The load is 120 N at 20 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. Meena (380 N) sits ? m from the pivot on one side; Asha (190 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 16.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
- 17.⚖️ A seesaw balances. Asha (480 N) sits 4 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A seesaw balances. Zoya (130 N) sits ? m from the pivot on one side; Meena (390 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 19.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 140 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 20.⚖️ A lever bar balances. The load is 640 N at ? cm from the fulcrum. The effort is 400 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A lever bar balances. The load is 400 N at 30 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?
- 22.⚖️ A lever bar balances. The load is 420 N at 10 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?
- 23.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Kabir (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 240 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 25.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
- 26.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Ravi (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 27.⚖️ A lever bar balances. The load is 40 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?
- 28.⚖️ A seesaw balances. Asha (320 N) sits 1 m from the pivot on one side; Zoya (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A seesaw balances. Kabir (760 N) sits 3 m from the pivot on one side; Meena (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 30.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 31.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 32.⚖️ A seesaw balances. Meena (600 N) sits 4 m from the pivot on one side; Arjun (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Kabir (680 N) sits 2 m from the pivot on one side; Zoya (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 34.⚖️ A lever bar balances. The load is ? N at 10 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?
- 35.⚖️ A lever bar balances. The load is 360 N at 10 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?
- 36.⚖️ A lever bar balances. The load is 300 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?
- 37.⚖️ A seesaw balances. Zoya (440 N) sits 3 m from the pivot on one side; Arjun (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A seesaw balances. Ravi (720 N) sits 2 m from the pivot on one side; Zoya (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 39.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (160 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 40.⚖️ A seesaw balances. Zoya (440 N) sits ? m from the pivot on one side; Ravi (220 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- turning effects match
- 2
- 20
- 3
- 360
- 440
- 70
- 390
- 680
- 170
- 120
- 90
- 380
- 30
- 1
- closer to the pivot
- 640
- 3
- 20
- 50
- 240
- 70
- 2
- 40
- distance from fulcrum
- 2
- 40
- 2
- 4
- 630
- 1000
- 3
- 4
- 180
- 90
- 150
- 4
- 4
- 160
- 2
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