The resultant of two forces is 50N. If the forces are perpendicular to each other and one of them makes an angle 0f 30^o with the resultant, find its magnitude.

TheLivingLegend01

3 years ago

Let's call the two forces F1 and F2. We know that they are perpendicular to each other, so we can use the Pythagorean theorem to find the magnitude of the resultant force R:

R^2 = F1^2 + F2^2

We also know that the magnitude of the resultant force R is 50N:

R = 50N

Now, let's use trigonometry to find the magnitude of one of the forces (let's say F1) using the given angle of 30 degrees:

cos(30°) = F1/R

F1 = Rcos(30°) = 50Ncos(30°) = 43.3N
Therefore, the magnitude of one of the forces is 43.3N, which corresponds to option C. 43.3N.

Brodan1

2 years ago

Confusion everywhere
You would have still used sin if the had said to the vertical but they didn't indicate nothing

sarahlove3444

7 years ago

y is it cos ?

Ayobami4jesud

1 year ago

the answer is 105N
we were aksed to find apparent weight loss,not just apparent weight only
the real weight - apparent wieght
700-595 = 105