Question

Two forces,one of 12N another of 24N act

Answer 1

GiveN :-

• Two forces of 12N and 24N act on a body making a angle of 90° .

To FinD :-

• The resultant of two forces if the body .

AnsweR :-

The two forces are 12N and 24N and they are acting at 90° to each other . We need to find the resultant . We know that the Force is a vector quantity hence we can use vector law of addition.

$\sf:\implies\pink{ Resultant =\sqrt{ F_1^2+F_2^2+2F_1F_2 cos\theta}}\\\\\sf:\implies F_{(net)}= \sqrt{ (12N)^2+(24N)^2+2(12N)(24N) cos 90^o}\\\\\sf:\implies F_{(net)}= \sqrt{144 + 576 + 576(0)}\\\\\sf:\implies F_{(net)}= \sqrt{ 720 N^2}\\\\\sf:\implies\underset{\blue{\sf Required\ Answer}}{\underbrace{\boxed{\pink{\frak{ Force_{(Resultant)}= 26.83 \ Newtons }}}}}$