Question

two forces p and q acting perpendicular to each other has a resultant of 50N. if p makes an angle of 30 degree with resultant calculate the magnitude of p.​

Answer 1

The magnitude of the force p that is perpendicular to other force q and makes an angle of 30° with the resultant force of 50 N, is 43.30 N.

Since the two forces p and q are perpendicular to each other, they form a right triangle with the resultant force (see the picture below).

We can calculate the magnitude of the force p with the following trigonometric function:    

$cos(\theta) = \frac{p}{F}$

Where:        

F: is the magnitude of the resultant force = 50 N

p: is the magnitude of the force p =?

θ: is the angle between p and F = 30°

Hence, the magnitude of p is:

$p = cos(\theta)*F = cos(30)*50 N = 43.30 N$

Therefore, the magnitude of p is 43.30 N.          

Learn more about the trigonometric cos(x) function here https://brainly.com/question/2827405?referrer=searchResults

I hope it helps you!