Question

Two equal force acting at a point, at right angles to each other have a resultant of 14.14N. The
magnitude of each other is
a) 28.28N
b) 24.14N
c) 10N
d) 7.07N​

Answer 1

Answer:

10 newton is the answer

Answer 2

Answer:

10  N

Option c. is correct .

Explanation:

Given :

Two equal force acting at a point .

Let say P and Q are two forces .

Here  P =  Q .

Angle  ( Ф )  = 90 .

Resultant ( R ) = 14.14 N .

We know formula for Resultant :

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

Putting values here :

$\displaystyle{14.14=\sqrt{P^2+P^2+2P \times P \cos90}}$

Since cos 90 = 0 .

Term 2 P × Q cos 90 = 0

$\displaystyle{14.14=\sqrt{P^2+P^2}}\\\\\displaystyle{14.14=\sqrt{2P^2}}\\\\\displaystyle{14.14=\sqrt{2}P^{1/2\times2}}\\\\\displaystyle{14.14=1.414P}}\\\\\displaystyle{P=10 \ N}$

Hence we get answer .