Answer :
Final answer:
The magnitude of a force with x-component of 55N and y-component of 82N is calculated using Pythagoras' theorem and is found to be approximately 98.7N.
Explanation:
The subject of the question is about determining the magnitude of a force when given its x and y components. Given the components of the force, i.e., Fx = 55 N and Fy = 82 N, the magnitude of this force, F, can be found using Pythagoras's theorem. This theorem, in the context of physics, suggests that the magnitude of a force can be calculated as the square root of the sum of the squares of its components.
So, F = √(Fx² + Fy²) = √(55² N + 82² N) = √(3025 N² + 6724 N²) = √9749 N² = 98.7 N
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