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  • Resultant Force Magnitude: Calculating Combined Forces at Right Angles
    Here's how to find the resultant magnitude of two forces acting at right angles:

    Understanding the Problem

    * Forces are vectors: Forces have both magnitude (strength) and direction.

    * Right angle: The forces are perpendicular to each other.

    * Resultant force: The single force that would have the same effect as the two individual forces combined.

    Solution

    When forces are at right angles, we can use the Pythagorean theorem to find the resultant force:

    * Resultant Force² = Force 1² + Force 2²

    1. Plug in the values:

    * Resultant Force² = 6² + 8²

    * Resultant Force² = 36 + 64

    * Resultant Force² = 100

    2. Find the square root:

    * Resultant Force = √100

    * Resultant Force = 10 N

    Answer: The resultant magnitude of the two forces is 10 N.

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