Let’s solve this step by step.
We’re given a lever system with two forces:
- A 10 N force acting downward on the left side, 2 meters from the fulcrum (pivot point).
- An unknown force F₂ acting downward on the right side, 4 meters from the fulcrum.
The lever is in balance — that means it’s not rotating. So, the clockwise moment must equal the counterclockwise moment.
Moment = Force × Distance from pivot
Left side (counterclockwise moment):
Force = 10 N
Distance = 2 m
Moment = 10 × 2 = 20 N·m
Right side (clockwise moment):
Force = F₂ (unknown)
Distance = 4 m
Moment = F₂ × 4
Since the lever is balanced:
Clockwise moment = Counterclockwise moment
F₂ × 4 = 20
Now solve for F₂:
F₂ = 20 ÷ 4
F₂ = 5
So the missing force is 5 Newtons.
Final Answer:
5
Parent Tip: Review the logic above to help your child master the concept of mechanical advantage worksheet.