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. Ravi (180 N) sits ? m from the pivot on one side; Zoya (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 2.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
- 3.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
- 4.⚖️ A lever bar balances. The load is 150 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?
- 5.⚖️ A lever bar balances. The load is 80 N at 40 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?
- 6.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 7.⚖️ A seesaw balances. Meena (110 N) sits ? m from the pivot on one side; Kabir (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 8.⚖️ A seesaw balances. Asha (480 N) sits 1 m from the pivot on one side; Meena (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ A seesaw balances. Arjun (240 N) sits ? m from the pivot on one side; Meena (240 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Arjun (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 11.⚖️ A lever bar balances. The load is 240 N at 20 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?
- 12.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 13.⚖️ A lever bar balances. The load is 320 N at 10 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?
- 14.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
- 15.⚖️ A seesaw balances. Kabir (680 N) sits 3 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?
- 16.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 17.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Asha (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 20.⚖️ A seesaw balances. Ravi (260 N) sits 3 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?
- 21.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 22.⚖️ A seesaw balances. Arjun (330 N) sits ? m from the pivot on one side; Ravi (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 24.⚖️ A seesaw balances. Asha (170 N) sits 1 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 25.⚖️ A seesaw balances. Arjun (170 N) sits ? m from the pivot on one side; Meena (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 26.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 27.⚖️ A seesaw balances. Asha (260 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?
- 28.⚖️ A seesaw balances. Arjun (190 N) sits 4 m from the pivot on one side; Kabir (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (400 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 120 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?
- 31.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 32.⚖️ A seesaw balances. Meena (520 N) sits 2 m from the pivot on one side; Arjun (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ A seesaw balances. Meena (300 N) sits 4 m from the pivot on one side; Ravi (400 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 450 N at 10 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?
- 35.⚖️ A seesaw balances. Ravi (150 N) sits 3 m from the pivot on one side; Meena (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A seesaw balances. Arjun (240 N) sits 3 m from the pivot on one side; Asha (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 37.⚖️ A lever bar balances. The load is 630 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 38.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 39.⚖️ A seesaw balances. Kabir (100 N) sits 4 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?
- 40.⚖️ A lever bar balances. The load is 90 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?
Answer key
- 1
- closer to the pivot
- turning effects match
- 50
- 80
- 60
- 4
- 3
- 2
- 2
- 30
- 1000
- 40
- distance from fulcrum
- 510
- 350
- 320
- 40
- 480
- 390
- 50
- 1
- 200
- 170
- 3
- 400
- 260
- 1
- 200
- 20
- 170
- 4
- 3
- 90
- 1
- 2
- 70
- 150
- 400
- 90
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