Question

Resultant of two force equal in magnitude, at right angle to each other is 1414 N.Find the magnitude of each force?​

Answer 1

Answer:

The magnitude of the resultant force of two equal forces acting at right angles to each other is 1414 N. What is the magnitude of each force?

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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.

hope it helps

Mark brainlist

Answer 2

Answer:

Magnitude of force is 1000N

Explanation:

Magnitude of force = F

Right angle =90°

Resultant = sqrt (F^2 + F^2 + 2F *F*cos90)

Cos90 =0

So resultant = sqrt(F^2+ F^2)

= sqrt(2F^2)= sqrt(2)*F =1.414F

Given that resultant =1414N

1414 =1.414F

F = 1414/1.414= 1000N

Magnitude of force is 1000N