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 lever bar balances. The load is 490 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?
- 2.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 70 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 3.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 4.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 5.⚖️ A lever bar balances. The load is 640 N at ? cm from the fulcrum. The effort is 320 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 6.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Asha (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 7.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
- 8.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (330 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 9.⚖️ A seesaw balances. Ravi (720 N) sits ? m from the pivot on one side; Asha (180 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 10.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
- 11.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
- 12.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) time taken (d) distance from fulcrum
- 13.⚖️ A seesaw balances. Asha (130 N) sits ? m from the pivot on one side; Zoya (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 14.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 15.⚖️ 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?
- 16.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 17.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (640 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (520 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 19.⚖️ A lever bar balances. The load is 100 N at 40 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?
- 20.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 10 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 21.⚖️ A seesaw balances. Asha (560 N) sits 1 m from the pivot on one side; Meena (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A seesaw balances. Asha (120 N) sits 3 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 23.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Arjun (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A lever bar balances. The load is 200 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?
- 25.⚖️ A seesaw balances. Kabir (200 N) sits 2 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?
- 26.⚖️ A lever bar balances. The load is 100 N at 10 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?
- 27.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 28.⚖️ A seesaw balances. Asha (330 N) sits 4 m from the pivot on one side; Kabir (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 29.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
- 30.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (520 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 31.⚖️ A seesaw balances. Meena (320 N) sits 3 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 32.⚖️ A seesaw balances. Asha (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?
- 33.⚖️ A seesaw balances. Meena (180 N) sits 3 m from the pivot on one side; Zoya (? 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 100 N at 20 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?
- 35.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (340 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 36.⚖️ 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?
- 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
- 38.⚖️ 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?
- 39.⚖️ A seesaw balances. Asha (120 N) sits 1 m from the pivot on one side; Ravi (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 40.⚖️ A seesaw balances. Meena (570 N) sits 2 m from the pivot on one side; Arjun (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
Answer key
- 70
- 10
- 330
- 240
- 40
- 300
- turning effects match
- 440
- 1
- closer to the pivot
- 810
- distance from fulcrum
- 2
- 350
- 40
- 10
- 480
- 260
- 80
- 10
- 4
- 1
- 3
- 200
- 2
- 10
- 200
- 3
- 50
- 520
- 480
- 2
- 540
- 20
- 340
- 150
- 100
- 20
- 1
- 3
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