QuestionAugust 15, 2025

Given that a force vector has components 80.0 N in the x-direction and -30.0N in the y-direction, find the magnitude of the vector. Your Answer: square square

Given that a force vector has components 80.0 N in the x-direction and -30.0N in the y-direction, find the magnitude of the vector. Your Answer: square square
Given that a force vector has components 80.0 N in the x-direction and -30.0N in
the y-direction, find the magnitude of the vector.
Your Answer:
square  square

Solution
4.0(277 votes)

Answer

|\mathbf{F}| = \sqrt{(80.0)^2 + (-30.0)^2} = \sqrt{6400 + 900} = \sqrt{7300} \approx 85.4\, \text{N} Explanation 1. Calculate the magnitude Use the formula for the magnitude of a vector: **|\mathbf{F}| = \sqrt{F_x^2 + F_y^2}**. Substitute F_x = 80.0\, \text{N} and F_y = -30.0\, \text{N}.

Explanation

1. Calculate the magnitude<br /> Use the formula for the magnitude of a vector: **$|\mathbf{F}| = \sqrt{F_x^2 + F_y^2}$**. Substitute $F_x = 80.0\, \text{N}$ and $F_y = -30.0\, \text{N}$.
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