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Two forces act on a crate and the crate is in equilibrium. These two forces are

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Answer to a math question Two forces act on a crate and the crate is in equilibrium. These two forces are

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Gene
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Problem:
In an equilibrium scenario, the sum of all forces acting on the crate must be zero. Thus, \vec{F_1} + \vec{F_2} = \vec{0}.

Solution:
1. Let \vec{F_1} and \vec{F_2} be the two forces acting on the crate such that their sum is zero.
2. Using vector addition rule, we write:
\vec{F_1} + \vec{F_2} = \vec{0}
3. This implies:
\vec{F_2} = -\vec{F_1}
4. Hence, the magnitudes of the forces must be equal and their directions must be opposite.

Answer:
From the above solution, the magnitudes of the forces are equal, and the directions of the forces are opposite.

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