Answer to Question #277625 in Physics for Kristine

Question

Two vehicles are approaching an intersection. One is a 2500-𝑘𝑔 pickup traveling at 14.0𝑚/𝑠 from east to west (the −𝑥-direction), and the other is a 1500-𝑘𝑔 sedan going from south to north (the +𝑦-direction) at 23.0 𝑚/𝑠. (a) Find the 𝑥- and 𝑦-components of the net momentum of this system. (b) What are the magnitude and direction of the net momentum?

Answer 1

$$p_x=-(2500)(14)=-35000\frac{kgm}{s}\\ p_y=(1500)(23)=34500\frac{kgm}{s}\\ p=\sqrt{35000^2+34500^2}=49100\frac{kgm}{s}\\\theta=\arctan{\frac{345}{350}}=44.6\degree$$