The weight of the other object placed 1 m from the fulcrum that balances the other object is 2.5 N.
The weight of the second object is determined by applying principle of moment as shown below;
take moment about the pivot,
sum of clockwise moment = sum of anticlockwise moment
F₁r₁ = F₂r₂
5 x 0.5 = F₂ x 1
2.5 N = F₂
Thus, the weight of the other object placed 1 m from the fulcrum that balances the other object is 2.5 N.
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