Physics, asked by pakinganaaron45, 4 months ago

A force of 3 N acts perpendicular to a force of 4 N. Their resultant has a magnitude of

Answers

Answered by suryansh20032001
4

Answer:

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Explanation:

Attachments:
Answered by Anonymous
38

Answer:

Given:

Magnitude of two forces F₁ = 3N

and F₂ = 4N

Angle between F₁ and F₂ = θ = 90°

To find:

Resultant of two forces.

Solution:

R =

⠀⠀⠀⠀⠀⠀⠀

 \sqrt{ F²₁+ F²₂ + 2F₁F₂ cosθ}

⠀⠀⠀⠀⠀⠀⠀

We know that cosθ = 0

⠀⠀⠀⠀⠀⠀⠀

So R =

⠀⠀⠀⠀⠀⠀⠀

 \sqrt{F²₁+ F²₂ }

\implies R =  \sqrt{3 {}^{2}  + 4 {}^{2} }  \\ \implies R = \sqrt{9 + 16}  =  \sqrt{25}  \\\implies R = 5N

⠀⠀⠀⠀⠀⠀⠀

Hence magnitude of the resultant force is 5N.


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