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A pair of 273.1 N vectors are perpendicular. What is the magnitude of their resultant?

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Final answer:

The magnitude of the resultant vector of two perpendicular vectors, each with a magnitude of 273.1 N, is calculated to be 386.5 N using the Pythagorean theorem.

Step-by-step explanation:

When two 273.1 N vectors are perpendicular to each other, we can find the magnitude of their resultant vector by using the Pythagorean theorem. In this case, the equation would be:

Resultant vector magnitude = √((273.1 N)² + (273.1 N)²) = √(74658.41 N² + 74658.41 N²) = √(149316.82 N²) = 386.5 N.

So, the magnitude of the resultant of two perpendicular vectors each with a magnitude of 273.1 N is 386.5 N.

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