Answer to Question #250788 in Physics for Kyla

Question #250788

Vector A is 3.0 units in length and points along the positive x-axis; vector B is 4.0 units in length and points along a direction 150 from the positive x-axis. What is the magnitude of the resultant when vectors A and B are added?


1
Expert's answer
2021-10-13T09:06:32-0400

Find the x- and y-components of both vectors, then find the x- and y-components of the resultant, then find the magnitude of the resultant itself:


Ax=3,Ay=0.Bx=Bcosθ=4cos150°=3.46,By=Bsinθ=4sin150°=2. Rx=Ax+Bx,Ry=Ay+By,R=Rx2+Ry2=2.05.A_x=3,\\ A_y=0.\\ B_x=B\cos\theta=4\cos150°=-3.46,\\ B_y=B\sin\theta=4\sin150°=2.\\\space\\ R_x=A_x+B_x,\\ R_y=A_y+B_y,\\ R=\sqrt{R_x^2+R_y^2}=2.05.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment