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.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
- 2.⚖️ A lever bar balances. The load is 210 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?
- 3.⚖️ A seesaw balances. Kabir (570 N) sits 4 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?
- 4.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 5.⚖️ A lever bar balances. The load is 480 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 6.⚖️ A lever bar balances. The load is 30 N at 20 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
- 7.⚖️ A seesaw balances. Zoya (280 N) sits 4 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?
- 8.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 450 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 9.⚖️ A seesaw balances. Meena (800 N) sits ? m from the pivot on one side; Zoya (800 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A seesaw balances. Zoya (120 N) sits ? m from the pivot on one side; Asha (120 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 12.⚖️ A lever bar balances. The load is 1000 N at ? cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 13.⚖️ A lever bar balances. The load is 360 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?
- 14.⚖️ A seesaw balances. Asha (340 N) sits 2 m from the pivot on one side; Kabir (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A seesaw balances. Arjun (130 N) sits 2 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 16.⚖️ A seesaw balances. Asha (680 N) sits 1 m from the pivot on one side; Zoya (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 17.⚖️ A seesaw balances. Asha (200 N) sits 3 m from the pivot on one side; Meena (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 18.⚖️ A lever bar balances. The load is 140 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?
- 19.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
- 20.⚖️ A lever bar balances. The load is 200 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?
- 21.⚖️ A seesaw balances. Meena (360 N) sits 3 m from the pivot on one side; Asha (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A seesaw balances. Ravi (600 N) sits 1 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?
- 23.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 24.⚖️ A seesaw balances. Kabir (760 N) sits ? m from the pivot on one side; Meena (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 25.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 320 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 26.⚖️ A lever bar balances. The load is 70 N at 50 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?
- 27.⚖️ A lever bar balances. The load is 160 N at 40 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?
- 28.⚖️ A seesaw balances. Arjun (320 N) sits ? m from the pivot on one side; Kabir (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A seesaw balances. Zoya (380 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 seesaw balances. Arjun (240 N) sits ? m from the pivot on one side; Ravi (240 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 31.⚖️ A lever bar balances. The load is 560 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 32.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
- 33.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 34.⚖️ A lever bar balances. The load is 280 N at 50 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 35.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (140 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 36.⚖️ A seesaw balances. Ravi (680 N) sits ? m from the pivot on one side; Asha (680 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A seesaw balances. Ravi (200 N) sits 1 m from the pivot on one side; Zoya (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 38.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 39.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 40.⚖️ A seesaw balances. Meena (140 N) sits ? m from the pivot on one side; Kabir (560 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
Answer key
- distance from fulcrum
- 60
- 760
- 30
- 60
- 20
- 560
- 50
- 4
- 1
- 50
- 20
- 200
- 2
- 260
- 4
- 1
- 100
- closer to the pivot
- 20
- 2
- 150
- 40
- 4
- 40
- 70
- 160
- 3
- 2
- 2
- 80
- turning effects match
- 480
- 70
- 560
- 4
- 1
- 40
- 70
- 4
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