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Step 1:I'll solve this problem by explaining the formula for net force and providing a clear, step-by-step breakdown.
Step 2:: Define Net Force
- $$\vec{F}_{i}$$ represents each individual force acting on the object
Net force is the vector sum of all individual forces acting on an object. Mathematically, this can be expressed as: Where:
Step 3:: Vector Addition
Since forces are vector quantities, net force involves adding the forces considering both magnitude and direction. This means: - Forces in the same direction add positively - Forces in opposite directions subtract from each other
Step 4:: Mathematical Representation
\vec{F}_{net} = \vec{F}_{1x} + \vec{F}_{2x} + ... + \vec{F}_{1y} + \vec{F}_{2y} + ...
The net force can be calculated by adding the x and y components of all forces:
Final Answer
The formula for net force is \vec{F}_{net} = \sum_{i= 1}^{n} \vec{F}_{i}, which represents the vector sum of all individual forces acting on an object.
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