Question

Resultant of two equal forces at right angles to each other is 1414 N. Find each force.
Please give proper explanation
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Answer 1

Explanation:

The resultant of two forces( say a and b )is given by the formula, R=√(a^2 +b^2 +2ab cos β)

Where β is the angle between the two forces

Here, β=90°

And a=b,since the two forces are equal

So, R=√(a^2 + a^2 +2a x a x cos 90)

Cos 90=0.

So R=√(2a^2)=√2 a

BTP,

1414=√2 a

a=1414/1.414[√2=1.414]

a=1000 N. (Ans)

So, magnitude of each force =1000N.

Answer 2

Explanation:

R=under root a2plus b2plus 2ab es formula se hojae ga