Question

The x and y components of a force are 2N and -3 N. The force is?

Answer 1

Answer:

√13

if 2N and -3N are the components then the force will be the resultant force acting on the body which is

F=[whole root]√2^2+3^2

=√4+9

=√13

Answer 2

Answer:root over 13

Explanation:let the force be =F

Then....

Fcos theta=2N ....... (1

Fsin theta=-3N .......(2

Now, squaring and adding (1 and (2

F^2 sin^2theta+F^2cos^theta=4+9

F^2=13 (sin^2theta+cos^2theta=1)

Hence,

F=root over13