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 (? N) sits 4 m from the pivot on one side; Arjun (440 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 2.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 3.⚖️ A seesaw balances. Kabir (560 N) sits ? m from the pivot on one side; Asha (560 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 4.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 5.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 6.⚖️ A seesaw balances. Asha (280 N) sits ? m from the pivot on one side; Zoya (420 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
- 7.⚖️ A seesaw balances. Zoya (510 N) sits 3 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
- 8.⚖️ A seesaw balances. Kabir (380 N) sits 1 m from the pivot on one side; Zoya (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 9.⚖️ A seesaw balances. Meena (320 N) sits 1 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?
- 10.⚖️ A lever bar balances. The load is 540 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 11.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 12.⚖️ A seesaw balances. Meena (570 N) sits 1 m from the pivot on one side; Kabir (190 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 180 N at 40 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?
- 14.⚖️ A seesaw balances. Ravi (450 N) sits 3 m from the pivot on one side; Kabir (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 15.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
- 16.⚖️ A seesaw balances. Zoya (200 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?
- 17.⚖️ A seesaw balances. Zoya (200 N) sits 2 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 18.⚖️ A lever bar balances. The load is 270 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 19.⚖️ A lever bar balances. The load is 120 N at 40 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?
- 20.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
- 21.⚖️ A seesaw balances. Meena (130 N) sits 4 m from the pivot on one side; Arjun (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 22.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
- 23.⚖️ A seesaw balances. Asha (480 N) sits 4 m from the pivot on one side; Ravi (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 24.⚖️ A seesaw balances. Kabir (200 N) sits 3 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
- 25.⚖️ 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?
- 26.⚖️ A seesaw balances. Meena (170 N) sits 1 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?
- 27.⚖️ A lever bar balances. The load is 80 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?
- 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
- 29.⚖️ A seesaw balances. Meena (170 N) sits 1 m from the pivot on one side; Arjun (170 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 20 cm from the fulcrum. The effort is 140 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
- 31.⚖️ A seesaw balances. Zoya (760 N) sits ? m from the pivot on one side; Arjun (570 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
- 32.⚖️ A seesaw balances. Meena (420 N) sits 2 m from the pivot on one side; Zoya (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
- 33.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
- 34.⚖️ A lever bar balances. The load is 560 N at 30 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
- 35.⚖️ A seesaw balances. Kabir (170 N) sits ? m from the pivot on one side; Ravi (680 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
- 36.⚖️ A lever bar balances. The load is 540 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
- 37.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
- 38.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
- 39.⚖️ A lever bar balances. The load is 30 N at 40 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?
- 40.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (450 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
Answer key
- 330
- 680
- 4
- 10
- 280
- 3
- 510
- 2
- 160
- 90
- 50
- 3
- 240
- 3
- turning effects match
- 200
- 400
- 30
- 160
- distance from fulcrum
- 1
- 150
- 3
- 300
- 90
- 170
- 20
- 560
- 1
- 420
- 3
- 3
- closer to the pivot
- 210
- 4
- 60
- 520
- 300
- 40
- 300
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