Answer:
235.54 N
Step-by-step explanation:
Since this is an addition of vectors, we need to find the components of each in the x-y plane. Given that the first vector (100 N) is along the x axis, it consist of just x component of size: 100N.
For the second vector, its x-component will be given by the cosine projection on the x axis via:
x-component [tex]=150*cos(40^o)=114.9[/tex]
and its y-component will be given by the "sine" projection:
y component [tex]=150*sin(40)=96.42[/tex]
Therefore the addition of the x-components for the final vector is:
100N + 114.9N = 214.9 N
Now we use the Pythagorean theorem to find the magnitude of the resultant addition of vectors:
[tex]\sqrt{96.42^2+214.9^2} =\sqrt{55478.8264} =235.54 N[/tex]
