Question

two forces of magnitude A and B taken are acting at right angle to each other. the magnitude of their resultant is​

Answer 1

Root (A2 +B2) is the correct answer...

option 3

Answer 2

Two forces of magnitude A and B taken are acting at right angle to each other. The magnitude of their resultant is √(A²+B²)

Explanation:

Given:

Two forces of magnitude A and B are acting at right angle

To find out:

Magnitude of the resultant

Solution:

We know that the resultant $R$ of two forces $P$ and $Q$ acting at an angle $\theta$ is given by

$\boxed{R=\sqrt{P^2+Q^2+2PQ\cos\theta}}$

Therefore, according to the question

$P=A$

$Q=B$

$\theta=90^\circ$

$R=\sqrt{A^2+B^2+2AB\cos 90^\circ}$

$\implies R=\sqrt{A^2+B^2}$

Hope this answer is helpful.

Know More:

Q: The maximum and minimum magnitudes of the resultant of two forces are 17 newton and 7 newton respectively, if these two forces are acting at right angle to each other, then the value of resultant of these forces in Newton will be:

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